{ "cells": [ { "cell_type": "markdown", "id": "1d2eb3be-2943-4811-967e-c481ad04bc2b", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Convective-Diffusive Equation\n", "\n", "The convective-diffusive equation is a partial diferential equation (PDE) commonly written as\n", "\n", "$$\n", "\\partial_t u + \\partial_{\\alpha}B_{\\alpha} - \\partial_{\\alpha}\\left(\\nu \\partial_{\\alpha} C \\right) = 0\n", "$$(cvdif-eq-lb)\n", "\n", "where $u(\\alpha,t)$ is a space and time dependent scalar parameter, $B_{\\alpha}(\\alpha,t)$ is a vector a $C$ a scalar term, may be time and space dependent parameters and can also be also expressed as linear or non-linear functions of $u(\\alpha,t)$. The term $\\nu$ is the diffusion coefficient, a constituve term that controls the intensity of diffusive effect." ] }, { "cell_type": "markdown", "id": "37b0f5cd-fa20-4a0b-b659-411688021062", "metadata": {}, "source": [ "## Numerical Discretization" ] }, { "cell_type": "markdown", "id": "c936a7d0-d22c-497b-b51a-53beae8b9663", "metadata": {}, "source": [ "Discretizing the above equation in regular grid of 1D domain, we have" ] }, { "cell_type": "markdown", "id": "3a087e51-4f2a-4877-832d-6dc8e8380489", "metadata": {}, "source": [ "```{figure} mesh-1-convective-diffusive.svg\n", "---\n", "scale: 250%\n", "align: center\n", "name: mesh-1-convective-diffusive\n", "---\n", "1D regular grid.\n", "```" ] }, { "cell_type": "markdown", "id": "1da843b8-89a4-4607-b5bb-4a33e77184b3", "metadata": {}, "source": [ "### FDM Discretization\n", "\n", "To explore different discretization approaches, we adopt forward-time, forward-space (commonly referred to as the upwind scheme), as well as central-difference schemes.\n", "\n", "#### Forward-Time and Forward-Space (FTFSCS)\n", "Discretizing the Eq. {eq}`cvdif-eq-lb` through finite diference method, we have for forward-time, forward-space for advection and central-space for diffusion (FTFSCS) discretizations:\n", "\n", "$$\n", "\\partial_t u + \\partial_{\\alpha}B_{\\alpha} - \\partial_{\\alpha}\\left(\\nu \\partial_{\\alpha} C \\right) = \\frac{u(x,t + \\Delta_{t}) - u(x,t) }{\\Delta_{t}} + \\frac{B_{\\alpha}(x,t) - B_{\\alpha}(x + \\Delta_{x},t) }{\\Delta_{x}} - \\nu\\frac{ C(x - \\Delta_{x},t) -2C(x,t) + C(x + \\Delta_{x},t) }{\\Delta_{x}^{2}} =0,\n", "$$\n", "\n", "isolating the term $u(x,t + \\Delta_{t})$, we can describe the $u$ time evolution:\n", "\n", "$$\n", "u(x,t + \\Delta_{t}) = u(x,t) - \\frac{\\Delta_{t}}{\\Delta_{x}} \\left( B_{\\alpha}(x,t) - B_{\\alpha}(x + \\Delta_{x},t) \\right) + \\frac{\\nu\\Delta_{t}}{\\Delta_{x}^{2}} \\left( C(x - \\Delta_{x},t) -2C(x,t) + C(x + \\Delta_{x},t) \\right) \n", "$$" ] }, { "cell_type": "markdown", "id": "4d644a5b-dd47-4f39-bd16-9e6d21780751", "metadata": {}, "source": [ "#### Forward-Time and Central-Space with Small Diffusivity (FTCS)\n", "\n", "Given the discretization of the convective-diffusive equation with pure forwar-time and central-space in advective and diffusive terms (FTCS), we have\n", "\n", "$$\n", "\\partial_t u + \\partial_{x}B_{\\alpha} - \\partial_{\\alpha}\\left( \\nu \\partial_{\\alpha}u \\right) = \\frac{u(x,t + \\Delta_{t}) - u(x,t) }{\\Delta_{t}} + \\frac{B_{\\alpha}(x+\\Delta_{x},t) - B_{\\alpha}(x - \\Delta_{x},t) }{2\\Delta_{x}} - \\nu\\frac{ C(x - \\Delta_{x},t) -2C(x,t) + C(x + \\Delta_{x},t) }{\\Delta_{x}^{2}} =0,\n", "$$\n", "\n", "isolating the term $u(x,t + \\Delta_{t})$, we can describe the $u$ time evolution:\n", "\n", "$$\n", "u(x,t + \\Delta_{t}) = u(x,t) - \\frac{\\Delta_{t}}{2\\Delta_{x}} \\left( B_{\\alpha}(x+\\Delta_{x},t) - B_{\\alpha}(x - \\Delta_{x},t) \\right) + \\frac{\\nu\\Delta_{t}}{\\Delta_{x}^{2}} \\left( C(x - \\Delta_{x},t) -2C(x,t) + C(x + \\Delta_{x},t) \\right) \n", "$$" ] }, { "cell_type": "markdown", "id": "e032f918-cc9a-42d8-b457-f8e14b0a64e6", "metadata": {}, "source": [ "#### Forward-Time and Central-Space with Small Diffusivity (FTCS-SD)\n", "\n", "Give that discretize convective equation with pure forwar-time and central-space (FTCS), employ a small diffusivity (FTCS-SD) is a alternative to improve stability and ensure a propertie conservation.\n", "\n", "$$\n", "\\begin{array}{c}\n", "\\partial_t u + \\partial_{x}B_{\\alpha} - \\partial_{\\alpha}\\left( \\nu_{u} \\partial_{\\alpha}u \\right) - \\partial_{\\alpha}\\left( \\nu \\partial_{\\alpha}C \\right) = \\displaystyle\\frac{u(x,t + \\Delta_{t}) - u(x,t) }{\\Delta_{t}} + \\frac{B_{\\alpha}(x+\\Delta_{x},t) - B_{\\alpha}(x - \\Delta_{x},t) }{\\Delta_{x}} -\\\\\n", "\\nu_{u} \\displaystyle\\frac{ u(x - \\Delta_{x},t) -2u(x,t) + u(x + \\Delta_{x},t) }{\\Delta_{x}^{2}} - \\nu\\frac{ C(x - \\Delta_{x},t) -2C(x,t) + C(x + \\Delta_{x},t) }{\\Delta_{x}^{2}} =0,\n", "\\end{array}\n", "$$\n", "\n", "isolating the term $u(x,t + \\Delta_{t})$, we can describe the $u$ time evolution:\n", "\n", "$$\n", "u(x,t + \\Delta_{t}) = u(x,t) - \\frac{\\Delta_{t}}{\\Delta_{x}} \\left( B_{\\alpha}(x+\\Delta_{x},t) - B_{\\alpha}(x - \\Delta_{x},t) \\right) + \\frac{\\nu_{u}\\Delta_{t}}{\\Delta_{x}^{2}} \\left( u(x - \\Delta_{x},t) -2u(x,t) + u(x + \\Delta_{x},t) \\right) + \\frac{\\nu\\Delta_{t}}{\\Delta_{x}^{2}} \\left( C(x - \\Delta_{x},t) -2C(x,t) + C(x + \\Delta_{x},t) \\right) .\n", "$$" ] }, { "cell_type": "markdown", "id": "320b11c7-d9a3-4634-bb62-1388136ac2be", "metadata": {}, "source": [ "### Lattice Boltzmann Equation\n", "\n", "Describing the problem through the BGK lattice Boltzmann equation:\n", "\n", "$$\n", "f_{i}\\left(x_{\\alpha}+ c_{i,\\alpha} \\Delta t, t+\\Delta t\\right)- f_{i}(x_{\\alpha}, t)= -\\left( \\frac{ f_{i} - f_{i}^{eq} }{ \\tau } \\right).\n", "$$(LB-cv-Eq)\n", "\n", "The equilibrium distribution function is defined by\n", "\n", "$$\n", "f^{eq}_{i} = w_{i}\\left( u + \\frac{c_{i,\\alpha} B_{\\alpha}}{c_{s}^{2}} + \\frac{ \\left( c_{s}^{2}C\\delta_{\\alpha\\beta} + \\Lambda_{\\alpha\\beta} - c_{s}^{2}u\\delta_{\\alpha\\beta} \\right) \\left( c_{i,\\alpha}c_{i,\\beta} - c_{s}^{2}\\delta_{\\alpha\\beta} \\right)}{2c_{s}^{4}} \\right),\n", "$$\n", "\n", "where $\\Lambda_{\\alpha\\beta}$ is a correction term defined by\n", "\n", "$$\n", "\\Lambda_{\\alpha\\beta} = \\displaystyle\\int B_{\\alpha}^{'}B_{\\beta}^{'} du = \\displaystyle\\int \\left(\\displaystyle\\frac{\\partial B_{\\alpha}}{\\partial u} \\displaystyle\\frac{\\partial B_{\\beta}}{\\partial u} \\right) du.\n", "$$" ] }, { "cell_type": "markdown", "id": "a1f0e00d-c032-414a-8aff-b666ba180f7d", "metadata": {}, "source": [ "#### Lattice Direction Moments" ] }, { "cell_type": "code", "execution_count": 5, "id": "c8dd6283-a6ef-4060-8675-30eb45b800cf", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "from pylab import *\n", "from __future__ import division\n", "from sympy import *\n", "import numpy as np\n", "from sympy import S, collect, expand, factor, Wild\n", "from sympy import fraction, Rational, Symbol\n", "from sympy import symbols, sqrt, Rational\n", "import sympy as sp\n", "from IPython.display import display, Math, Latex\n", "#-------------------------------------------------Símbolos----------------------------------------------\n", "omega, u, B, w, C, Lamb = symbols('omega, u, B_{\\\\alpha}, w, C, \\\\Lambda_{\\\\alpha\\\\beta}')\n", "wi, cx, cy, cs = symbols('w_{i} c_{x} c_{y} c_{s}')\n", "fi, f0, f1, f2 = symbols('f_{i} f_{0} f_{1} f_{2}')\n", "#-------------------------------------------------Funções----------------------------------------------\n", "feq = Function('feq')(wi, cx, cy)\n", "fneq = Function('fneq')(wi, cx, cy)\n", "f = Function('f')(fi)\n", "#----------------------------------------------Lattice-D2Q9---Variáveis----------------------------------------------\n", "fi=np.array([f0,f1,f2])\n", "w0=Rational(4,6);w1=Rational(1,6)\n", "wi=np.array([w0,w1,w1])\n", "cx=np.array([0,1,-1])\n", "as2=Rational(3)\n", "cs2=1/as2\n", "#-------------------------------------------------Calc.Func------------------------------------------------\n", "f= fi\n", "feq=wi*(u + cx*B/cs2 + ((C*cs2 + Lamb -u*cs2)*(cx*cx-cs2))/(2*cs2**2))" ] }, { "cell_type": "code", "execution_count": 6, "id": "2147848c-6015-4c81-8eee-6f09e6191c81", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "text/latex": [ "$\\displaystyle \\underbrace{\\sum_{i=0} f_{i}^{eq} =\\sum_{i=0} f_{i} }_{\\textrm{Zero-Order Moment}} =u,\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}e_{i,x} }_{\\textrm{x-First-Order Moment}} =B_{\\alpha},\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} e_{i,x}e_{i,x} }_{\\textrm{xx-Second-Order Moment}} =\\frac{C}{3} + \\Lambda_{\\alpha\\beta},\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} e_{i,x}e_{i,x}e_{i,x} }_{\\textrm{xxx-Third-Order Moment}} =B_{\\alpha}$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/latex": [ "$\\displaystyle \\underbrace{\\sum_{i=0} f_{i}^{eq} =\\sum_{i=0} f_{i} }_{\\textrm{Zero-Order Hermite Moment}} =u,\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}e_{i,x} }_{\\textrm{x-First-Order Hermite Moment}} =B_{\\alpha},\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} \\left(e_{i,x}e_{i,x} - \\frac{1}{c_{s}^{2}}\\right) }_{\\textrm{xx-Second-Order Hermite Moment}} =\\frac{C}{3} + \\Lambda_{\\alpha\\beta} - \\frac{u}{3},\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} \\left(e_{i,x}e_{i,x} - \\frac{3}{c_{s}^{2}}\\right) e_{i,x} }_{\\textrm{xxx-Third-Order Hermite Moment}} =0$" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a0=simplify(sum(feq))\n", "ax=simplify(sum(feq*cx))\n", "axx=simplify(sum(feq*cx*cx))\n", "axxx=simplify(sum(feq*cx*cx*cx))\n", "display(Math(r\"\\underbrace{\\sum_{i=0} f_{i}^{eq} =\\sum_{i=0} f_{i} }_{\\textrm{Zero-Order Moment}} =\" + sp.latex(a0) \n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x} }_{\\textrm{x-First-Order Moment}} =\" + sp.latex(ax)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} c_{i,x}c_{i,x} }_{\\textrm{xx-Second-Order Moment}} =\" + sp.latex(axx)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} c_{i,x}c_{i,x}c_{i,x} }_{\\textrm{xxx-Third-Order Moment}} =\" + sp.latex(axxx) ))\n", "\n", "aH0=simplify(sum(feq))\n", "aHx=simplify(sum(feq*cx))\n", "aHxx=simplify(sum(feq*(cx*cx-cs2)))\n", "aHxxx=simplify(sum(feq*(cx*cx-3*cs2)*cx))\n", "display(Math(r\"\\underbrace{\\sum_{i=0} f_{i}^{eq} =\\sum_{i=0} f_{i} }_{\\textrm{Zero-Order Hermite Moment}} =\" + sp.latex(aH0) \n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq}c_{i,x} }_{\\textrm{x-First-Order Hermite Moment}} =\" + sp.latex(aHx)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} \\left(c_{i,x}c_{i,x} - \\frac{1}{c_{s}^{2}}\\right) }_{\\textrm{xx-Second-Order Hermite Moment}} =\" + sp.latex(aHxx)\n", " +r\",\\quad \\quad \\underbrace{\\sum_{i=0} f_{i}^{eq} \\left(c_{i,x}c_{i,x} - \\frac{3}{c_{s}^{2}}\\right) c_{i,x} }_{\\textrm{xxx-Third-Order Hermite Moment}} =\" + sp.latex(aHxxx) ))" ] }, { "cell_type": "markdown", "id": "46ecb675-97b4-4e57-93dc-444d01829876", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "#### Chapmann-Enskog Analysis\n", "\n", "```{toggle}\n", "Applying the Chapmann-Enskog procedure to LB equation, we expand the term $f_{i}\\left(\\boldsymbol{x}+\\boldsymbol{e}_i \\Delta t, t+\\Delta t\\right)$ in a Taylor series to recover the derivative form of the equation, i.e.,\n", "\n", "$$\n", "f_{i}\\left( x_{\\alpha} + c_{i,\\alpha} \\Delta t, t+\\Delta t\\right)- f_{i}(x_{\\alpha}, t)=\\displaystyle\\sum_{j=1}^{\\infty}\\frac{\\Delta t^{j}}{j!}D_{t}^{j}f_{i}= -\\left( \\frac{ f_{i} - f_{i}^{eq} }{ \\tau } \\right) .\n", "$$(EqExp-cv-NotEq)\n", "\n", "Rescaling the dimensionless form of the Eq. {eq}`EqExp-cv-Eq` in terms of the Knudsen number ($Kn$), we have\n", "\n", "$$\n", "\\displaystyle \\sum^{\\infty}_{j=1} \\frac{Kn^{(j-1)}}{j!} D_{t}^{j} f_{i} = - \\frac{1}{Kn}\\left( \\frac{ f_{i} - f_{eq,i} }{ \\tau } \\right) \\quad \\quad \\rightarrow \\quad \\quad \\displaystyle \\sum^{\\infty}_{j=1} \\frac{Kn^{(j)}}{j!} D_{t}^{j} f_{i} = - \\frac{ f_{i} - f_{i}^{eq} }{ \\tau },\n", "$$\n", "\n", "applying the asymptotic expansion in both the distribution function ($f_{i}=f_{i}^{(0)}+Kn f_{i}^{(1)} + Kn^{2} f_{i}^{(2)}+\\cdots$) and time partial derivative ($\\partial_{t}=\\partial_{t}^{(0)}+ Kn \\partial_{t}^{(1)}+Kn^{2} \\partial_{t}^{(2)}+\\cdots$), and separating the equation in orders up to the order $Kn^{2}$:\n", "\n", "$$\n", "\\begin{array}{ll}\n", " (Kn^{(0)}):& f_{i}^{(0)}= f_{i}^{eq},\\\\\n", " (Kn^{(1)}):& \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(0)}= - \\displaystyle\\frac{ f_{i}^{(1)} }{ \\tau } , \\\\\n", " (Kn^{(2)}):& \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(1)} + \\displaystyle\\frac{\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} f_{i}^{(0)}}{2}= - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau },\\\\\n", " \\textrm{ou}\\\\\n", " (Kn^{(2)}):& \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)\\displaystyle\\left(1 - \\frac{1}{2\\tau}\\right) f_{i}^{(1)} = - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau } \\quad\\quad \\rightarrow \\quad\\quad f_{i}^{(1)}\\textrm{ Formulation} \\\\\n", " \\textrm{ou}\\\\\n", " (Kn^{(2)}):& \\partial_{t}^{(1)} f_{i}^{(0)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} \\displaystyle\\left(\\frac{1}{2} - \\tau\\right) f_{i}^{(0)} = - \\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau } \\quad\\quad \\rightarrow \\quad\\quad f_{i}^{(0)}\\textrm{ Formulation} \\\\\n", " (Kn^{(3)}):& \\partial_{t}^{(2)} f_{i}^{(0)} +\\partial_{t}^{(1)} f_{i}^{(1)} + \\partial_{t}^{(1)}\\left( \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(0)} \\right) + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(2)} + \\displaystyle\\frac{\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} f_{i}^{(1)}}{2} + \\displaystyle\\frac{\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{3} f_{i}^{(0)}}{6} = - \\displaystyle\\frac{ f_{i}^{(3)} }{ \\tau }, \\\\\n", " \\textrm{ou}\\\\\n", " (Kn^{(3)}):& \\partial_{t}^{(2)} f_{i}^{(0)} + \\left(1-\\displaystyle\\frac{1}{\\tau}\\right)\\partial_{t}^{(1)} f_{i}^{(1)} + \\displaystyle\\left(\\frac{1}{2} - \\frac{1}{6\\tau}\\right) \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} f_{i}^{(1)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(2)} = - \\displaystyle\\frac{f_{i}^{(3)}}{\\tau},\n", " \\end{array}\n", "$$(Chap-Kn-cv-NotEq)\n", "\n", "##### Zero-Order Moment Balance\n", "\n", "To retrieve the balance equation, we sum the Eq. {eq}`Chap-Kn-cv-Eq` for $Kn^{(1)}$ and $Kn^{(2)}$ over $\\sum_{i=0} $:\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(1)}): \\displaystyle\\sum_{i}\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(0)}= - \\displaystyle\\sum_{i}\\left(\\displaystyle\\frac{ f_{i}^{(1)} }{ \\tau } \\right),\\\\\n", "(Kn^{(1)}): \\partial_{t}^{(0)} u + \\partial_{\\alpha} B_{\\alpha} =0,\n", "\\end{array}\n", "$$(cv-Kn1-B0-all)\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(2)}):& \\displaystyle\\sum_{i}\\left[ \\partial_{t}^{(1)} f_{i}^{(0)} + \\displaystyle\\left(1 - \\frac{1}{2\\tau}\\right)\\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right) f_{i}^{(1)} \\right]= - \\displaystyle\\sum_{i}\\left(\\displaystyle\\frac{ f_{i}^{(2)} }{ \\tau } \\right), \\nonumber \\\\\n", "(Kn^{(2)}):& \\partial_{t}^{(1)} u + \\displaystyle\\left(1 - \\frac{1}{2\\tau}\\right)\\partial_{\\alpha} m^{(1)}_{\\alpha} = 0,\n", "\\end{array}\n", "$$(cv-Kn2-B0-all)\n", "\n", "To determine the unknow term $m^{(1)}_{\\alpha}$, we sum the Eq. {eq}`Chap-Kn-cv-Eq` for $Kn^{(1)}$ over the first-order moment:\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(1)}): \\displaystyle\\sum_{i}\\left( \\partial_{t}^{(0)} + c_{i,\\beta}\\partial_{\\beta} \\right)f_{i}^{(0)}c_{i,\\alpha}= - \\displaystyle\\sum_{i}\\left(\\displaystyle\\frac{ f_{i}^{(1)} }{ \\tau } c_{i,\\alpha} \\right),\\\\\n", "(Kn^{(1)}): \\partial_{t}^{(0)} B_{\\alpha} + \\partial_{\\beta} \\left(c_{s}^{2} C \\delta_{\\alpha\\beta} + \\Lambda_{\\alpha\\beta}\\right) = - \\displaystyle\\frac{m^{(1)}_{\\alpha}}{\\tau} \\quad \\quad \\rightarrow \\quad \\quad m^{(1)}_{\\alpha} =-\\tau \\partial_{\\beta} \\left(c_{s}^{2} C \\delta_{\\alpha\\beta} \\right).\n", "\\end{array}\n", "$$(cv-Kn1-B1-all)\n", "\n", "\n", "Extending the analysis up to $Kn^{(3)}$\n", "\n", "$$\n", "\\begin{array}{l}\n", "(Kn^{(3)}):& \\displaystyle\\sum_{i}\\left[ \\partial_{t}^{(2)} f_{i}^{(0)} + \\left(1-\\displaystyle\\frac{1}{\\tau}\\right)\\partial_{t}^{(1)} f_{i}^{(1)} + \\displaystyle\\left(\\frac{1}{2} - \\frac{1}{6\\tau}\\right) \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)^{2} f_{i}^{(1)} + \\left( \\partial_{t}^{(0)} + c_{i,\\alpha}\\partial_{\\alpha} \\right)f_{i}^{(2)} \\right] = - \\displaystyle\\sum_{i}\\left[\\displaystyle\\frac{f_{i}^{(3)}}{\\tau} \\right], \\\\\n", "(Kn^{(3)}):& \\partial_{t}^{(2)} u + \\partial_{t}^{(1)}\\left(\\partial_{\\alpha} m^{(1)}_{\\alpha} + \\partial_{\\beta} m^{(1)}_{\\beta}\\right) + \\partial_{\\alpha}\\partial_{\\beta} m^{(1)}_{\\alpha\\beta} + \\partial_{\\alpha} m^{(2)}_{\\alpha} = 0.\n", "\\end{array}\n", "$$(cv-Kn3-B0-all)\n", "\n", "By summing the Eqs. {eq}`cv-Kn1-B0`, {eq}`cv-Kn2-B0`, and {eq}`cv-Kn3-B0`, and also extending to higher orders of Knudsen, we have\n", "\n", "$$\n", "\\partial_{t} u + \\partial_{\\alpha} B_{\\alpha} - \\partial_{\\alpha}\\left(\\nu \\partial_{\\alpha} C \\right) + \\underbrace{\\partial_{\\alpha} m^{(2)}_{\\alpha} + \\partial_{\\alpha}\\partial_{\\beta} m^{(1)}_{\\alpha\\beta} + \\partial_{t}^{(1)}\\left(\\partial_{\\alpha} m^{(1)}_{\\alpha} + \\partial_{\\beta} m^{(1)}_{\\beta}\\right) + ... }_{\\textrm{Numerical Errors}} =0,\n", "$$\n", "\n", "where $\\nu=c_{s}^{2}(\\tau-1/2)$. The numerical errors can be corrected using extra moments in the equilibrium distribution function and some ones can neglected due to its relevance decay exponentially with the decrease of $\\Delta x$ and $\\Delta t$.\n", "```" ] }, { "cell_type": "markdown", "id": "12d0efed-4938-41ee-90d6-e6971f1f1146", "metadata": {}, "source": [ "#### Boundary Conditions\n", "\n", "The boundary conditions for the lattices can be derived by solving a linear system of known moments." ] }, { "cell_type": "markdown", "id": "ed35c46d-0d61-4be2-9c27-68f579754ab9", "metadata": {}, "source": [ "| D1Q3: | Boundaries | | Layers | | |\n", "|------|-----------------|---|---------------------------------------------------------------------------------|---|---------------------------------------------------------------------------------|\n", "| | | | West | | East |\n", "| | Unknown $f_{i}$ | | $f_2=u_{e} - f_1 - f_0$ | | $f_1=u_{w} - f_2 - f_0$ |\n", "| | | | | | |" ] }, { "cell_type": "markdown", "id": "d06d63fa-c79b-4059-9a62-02ce4c481653", "metadata": {}, "source": [ "## 1st Benchmark: Decay of Sinoidal Wave\n", "\n", "Considering a 1D **convection–diffusion equation** with constant coefficients\n", "$$\n", "\\frac{\\partial u}{\\partial t}+c\\frac{\\partial u}{\\partial x} = \\nu\\frac{\\partial^2 u}{\\partial x^2}, \\qquad x\\in\\mathbb{R},\\ t\\ge 0,\n", "$$\n", "\n", "with **sinusoidal initial condition**\n", "\n", "$$\n", "u(x,0)=A\\sin(kx+\\phi),\n", "$$\n", "\n", "where $A$ is the initial amplitude, $k$ the wavenumber, $\\phi$ a phase shift.\n", "\n", "Then the analytical solution is\n", "$$\n", "\\boxed{u(x,t)=Ae^{-\\nu k^{2}t}\\sin\\big(k(x-ct)+\\phi\\big) }\n", "$$\n", "\n", "So:\n", "\n", "* **Convection** shifts the wave: $x \\mapsto x-ct$ (wave travels at speed $c$).\n", "* **Diffusion** damps the amplitude exponentially: $A(t)=Ae^{-\\nu k^{2}t}$.\n", "\n", "If you use a cosine initial condition $u(x,0)=A\\cos(kx+\\phi)$, the solution is the same form:\n", "$$\n", "u(x,t)=Ae^{-\\nu k^{2}t}\\cos\\big(k(x-ct)+\\phi\\big).\n", "$$\n" ] }, { "cell_type": "markdown", "id": "e657c57f-5d06-4b99-bc52-e81936a11424", "metadata": {}, "source": [ "### LBM D1Q3 Solution " ] }, { "cell_type": "code", "execution_count": 24, "id": "2b9c8554-4cf6-42e8-8c1a-b4850705d6ff", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=1.2566e-01, dt=1.2566e-01\n", "c_lbm=1.000, tau=1.0000\n", "nt=48.000, nue=0.1667\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# ---------------- parameters (physical units) ----------------\n", "A = 1.0 # Amplitude\n", "phi = 0.0 # Wave initial shift\n", "k_w = 1.0 # Wave number\n", "c = 1.0 # wave speed\n", "nu = 0.0066666666666666666*np.pi # Diffusive coefficient\n", "m_waves = 1 # Wave Period\n", "L = m_waves * (2.0*np.pi / k_w) # Domain Lentgh\n", "t_end = 6.0 # Final time\n", "#-------------------Lattice-Properties-D1Q3-------------------------------\n", "w = np.array([4.0/6.0, 1.0/6.0, 1.0/6.0],dtype=\"float64\")\n", "cx = np.array([0, 1, -1],dtype=\"int16\") \n", "cs=1.0/np.sqrt(3.0);\n", "# ---------------- parameters (numerical units) LBM-Scale----------------\n", "Nx = 50 # Numerical Length\n", "x = np.linspace(0.0, L, Nx, endpoint=False,dtype=\"float64\") # Numerical Domain\n", "dx = L / Nx # Grid size\n", "r=2**0 # dx/dt relation\n", "dt = dx/r\n", "ce = c/r\n", "nue = nu * dt / (dx*dx)\n", "tau = 0.5 + nue / cs**2\n", "nt = int(np.ceil(t_end / dt))\n", "print(f\"dx={dx:.4e}, dt={dt:.4e}\")\n", "print(f\"c_lbm={ce:.3f}, tau={tau:.4f}\")\n", "print(f\"nt={nt:.3f}, nue={nue:.4f}\")\n", "#-------------------Initialization-Arrays-------------------------------\n", "u=np.zeros((Nx),dtype=\"float64\")\n", "u = A * np.sin(k_w*(x+dx/2) + phi)\n", "snaps=5 # number of states saved over time including 0 and t_end\n", "u_snaps = np.empty(snaps, dtype=object) # array field used to same data over time\n", "snaps_id = np.linspace(0, nt, snaps, dtype=\"int16\") # timesteps to take the field\n", "snap_index = {sid: i for i, sid in enumerate(snaps_id)}\n", "for i in range(snaps):\n", " u_snaps[i] = np.zeros((Nx), dtype=\"float64\")\n", "f=np.zeros((3,Nx),dtype=\"float64\")\n", "# ----------------------------- Maind Loop ------------------------------\n", "for k in range(0,3):\n", " f[k,:]=w[k]*(u[:]+cx[k]*Bx[:]/cs**2)\n", "for t in range(nt+1):\n", " #----------------------Macro------------------\n", " u[:]=f[0,:]+f[1,:]+f[2,:]\n", " #---------------------save-snaps--------------\n", " if t in snaps_id:\n", " i = snap_index[t]\n", " u_snaps[i][:]=u[:]\n", " #--------------------Collision----------------\n", " for k in range(0,3):\n", " f[k,:]= f[k,:] - (f[k,:] - w[k]*(u[:]+cx[k]*(ce*u[:])/cs**2))/tau\n", " #-----------------streaming-------------------\n", " for k in range(0,3):\n", " f[k,:]=np.roll(f[k,:], cx[k], axis=0)\n", "#****************************************Data-Analysis*********************************************\n", "# ---------------- exact solution ----------------\n", "def u_exact(x, t, A, k_w, phi, c, nu):\n", " return A * np.exp(-nu * k_w**2 * t) * np.sin(k_w * ((x+dx/2) - c*t) + phi)\n", "u_ana = np.empty(snaps, dtype=object) # array field used to same data over time\n", "for i in range(snaps):\n", " u_ana[i] = np.zeros((Nx), dtype=\"float64\")\n", "# -----------------Plot Results --------------------\n", "plt.figure(figsize=(10,5))\n", "colors = plt.cm.viridis(np.linspace(0, 1, snaps))\n", "for i in range(snaps):\n", " plt.plot(x, u_snaps[i], \"s\", color=colors[i], lw=1, label=f\"LBM t={(snaps_id[i]/nt)*t_end:.2f}\",fillstyle='none')\n", " u_ana[i] = u_exact(x, (snaps_id[i]/nt)*t_end , A, k_w, phi, c, nu)\n", " plt.plot(x, u_ana[i], color=colors[i], lw=1, label=f\"Exact t={(snaps_id[i]/nt)*t_end:.2f}\")\n", "\n", "plt.xlabel(\"$x$\",fontsize=16)\n", "plt.ylabel(\"$u(x,t)$\",fontsize=16)\n", "plt.title(\"1D Convection-Diffusion: LBM vs Analytical Solution\")\n", "plt.grid(True, alpha=0.3)\n", "plt.legend(ncol=5,fontsize=9,loc=\"center left\",bbox_to_anchor=(0.0, 1.2))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2d59bd34-4250-4d05-9496-5249e6a9bb93", "metadata": {}, "source": [ "### FDM Solution (FTCS-SD) (LBM Framework $\\tau=1$)" ] }, { "cell_type": "code", "execution_count": 21, "id": "42729855-93cf-49db-85b6-df8536df0fdc", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input", "hide-output" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=1.2566e-01, dt=1.2566e-01\n", "nt=48.000, r=1.0000\n", "Property Conservation: sum(u(t=0))=-3.816e-15, sum(u(t=t_end))=-4.33e-15\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# ---------------- parameters (physical units) ----------------\n", "A = 1.0 # Amplitude\n", "phi = 0.0 # Wave initial shift\n", "k_w = 1.0 # Wave number\n", "c = 1.0 # wave speed\n", "nu = 0.0066666666666666666*np.pi # Diffusive coefficient\n", "m_waves = 1 # Wave Period\n", "L = m_waves * (2.0*np.pi / k_w) # Domain Lentgh\n", "t_end = 6.0 # Final time\n", "# ---------------- parameters (numerical units)----------------\n", "Nx = 50 # Numerical Length\n", "x = np.linspace(0.0, L, Nx, endpoint=False,dtype=\"float64\") # Numerical Domain\n", "dx = L / Nx # Grid size\n", "r=2**0 # dx/dt relation\n", "dt = dx/r # time step\n", "nt = int(np.ceil(t_end / dt))\n", "print(f\"dx={dx:.4e}, dt={dt:.4e}\")\n", "print(f\"nt={nt:.3f}, r={r:.4f}\")\n", "# ---------------- Initialization ----------------\n", "uf=np.zeros((Nx),dtype=\"float64\")\n", "uf = A * np.sin(k_w*(x+dx/2) + phi)\n", "ufp=np.zeros((Nx),dtype=\"float64\")\n", "snaps=5 # number of states saved over time including 0 and t_end\n", "uf_snaps = np.empty(snaps, dtype=object) # array field used to same data over time\n", "snaps_id = np.linspace(0, nt, snaps, dtype=\"int16\") # timesteps to take the field\n", "snap_index = {sid: i for i, sid in enumerate(snaps_id)}\n", "for i in range(snaps):\n", " uf_snaps[i] = np.zeros((Nx), dtype=\"float64\")\n", "# ----------------------------- Maind Loop ------------------------------\n", "for t in range(nt+1):\n", " #---------------------save-snaps--------------\n", " if t in snaps_id:\n", " i = snap_index[t]\n", " uf_snaps[i][:]=uf[:]\n", " #---------------------------------------------\n", " ufp[:]=uf[:] + (dt/dx * c * (np.roll(uf[:], 1, axis=0) - np.roll(uf[:], -1, axis=0))/2.0 \n", " + dt * nu * ( np.roll(uf[:], 1, axis=0) -2.0*uf[:] + np.roll(uf[:], -1, axis=0) ) / dx**2)\n", " uf[:]=ufp[:]\n", "#****************************************Data-Analysis*********************************************\n", "# ---------------- exact solution ----------------\n", "def u_exact(x, t, A, k_w, phi, c, nu):\n", " return A * np.exp(-nu * k_w**2 * t) * np.sin(k_w * ((x+dx/2) - c*t) + phi)\n", "u_ana = np.empty(snaps, dtype=object) # array field used to same data over time\n", "for i in range(snaps):\n", " u_ana[i] = np.zeros((Nx), dtype=\"float64\")\n", "# -----------------Plot Results --------------------\n", "print(f\"Property Conservation: sum(u(t=0))={np.sum(uf_snaps[0]):.4g}, sum(u(t=t_end))={np.sum(uf_snaps[4]):.4g}\")\n", "plt.figure(figsize=(10,5))\n", "colors = plt.cm.viridis(np.linspace(0, 1, snaps))\n", "for i in range(snaps):\n", " plt.plot(x, uf_snaps[i], \"o\", color=colors[i], lw=1, label=f\"LBM t={(snaps_id[i]/nt)*t_end:.2f}\",fillstyle='none')\n", " u_ana[i] = u_exact(x, (snaps_id[i]/nt)*t_end , A, k_w, phi, c, nu)\n", " plt.plot(x, u_ana[i], color=colors[i], lw=1, label=f\"Exact t={(snaps_id[i]/nt)*t_end:.2f}\")\n", "\n", "plt.xlabel(\"$x$\",fontsize=16)\n", "plt.ylabel(\"$u(x,t)$\",fontsize=16)\n", "plt.title(\"1D Convection-Diffusion: LBM vs Analytical Solution\")\n", "plt.grid(True, alpha=0.3)\n", "plt.legend(ncol=5,fontsize=9,loc=\"center left\",bbox_to_anchor=(0.0, 1.2))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 26, "id": "145e07e5-0aa8-442e-b83c-d303ebbe179c", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# -----------------Plot Results --------------------\n", "plt.figure(figsize=(10,5))\n", "colors = plt.cm.viridis(np.linspace(0, 1, snaps))\n", "for i in range(snaps):\n", " plt.plot(x, u_snaps[i], \"s\", color=colors[i], lw=1, label=f\"LBM t={(snaps_id[i]/nt)*t_end:.2f}\",fillstyle='none')\n", " u_ana[i] = u_exact(x, (snaps_id[i]/nt)*t_end , A, k_w, phi, c, nu)\n", " plt.plot(x, uf_snaps[i], \"o\", color=colors[i], lw=1, label=f\"FDM t={(snaps_id[i]/nt)*t_end:.2f}\",fillstyle='none')\n", " u_ana[i] = u_exact(x, (snaps_id[i]/nt)*t_end , A, k_w, phi, c, nu)\n", " plt.plot(x, u_ana[i], color=colors[i], lw=1, label=f\"Exact t={(snaps_id[i]/nt)*t_end:.2f}\")\n", "\n", "plt.xlabel(\"$x$\",fontsize=16)\n", "plt.ylabel(\"$u(x,t)$\",fontsize=16)\n", "plt.title(\"1D Convection-Diffusion: LBM vs Analytical Solution\")\n", "plt.grid(True, alpha=0.3)\n", "plt.legend(ncol=5,fontsize=9,loc=\"center left\",bbox_to_anchor=(0.0, 1.2))\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "eba022ed-1a6a-440a-85ad-e658abc3a4b2", "metadata": {}, "source": [ "### FDM Solution (FTCS)" ] }, { "cell_type": "code", "execution_count": 16, "id": "af9a0114-2e22-44a5-a406-0ddc1fcb2c49", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=0.1257, dt=0.075, Nt=80, CFL=0.597, diff=0.095\n", "Property Conservation: sum(u(t=0))=-3.816e-15, sum(u(t=t_end))=-5.551e-15\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# ---------------- parameters (physical units) ----------------\n", "c = 1.0 # convection speed\n", "nu = 0.02 # diffusivity\n", "A = 1.0\n", "phi = 0.0\n", "L = 2*np.pi # domain length\n", "k = 1.0\n", "t_end = 6.0\n", "# ---------------- parameters (numerical units)----------------\n", "Nx = 50\n", "x = np.linspace(0.0, L, Nx, endpoint=False) # IMPORTANT: periodic grid (no duplicate point at L)\n", "dx = L / Nx\n", "CFL = 0.6 # stable dt (explicit)\n", "dt_adv = np.inf if abs(c) < 1e-15 else CFL * dx / abs(c)\n", "dt_dif = np.inf if nu <= 0 else 0.45 * dx*dx / nu\n", "dt = min(dt_adv, dt_dif)\n", "Nt = int(np.ceil(t_end / dt))\n", "dt = t_end / Nt\n", "print(f\"dx={dx:.4g}, dt={dt:.4g}, Nt={Nt}, CFL={abs(c)*dt/dx:.3f}, diff={nu*dt/dx**2:.3f}\")\n", "# -------------------- initial condition --------------------\n", "u = A * np.sin(k*(x+dx/2) + phi)\n", "# snapshots\n", "snap_times = np.linspace(0, t_end, 5)\n", "snap_ids = set(np.round(snap_times / dt).astype(int))\n", "snaps = []\n", "# -------------------- Main Loop --------------------\n", "for n in range(Nt + 1):\n", " t = n * dt\n", " #---------------------save-snaps-------------- \n", " if n in snap_ids:\n", " snaps.append((t, u.copy()))\n", " if n == Nt:\n", " break\n", " #----------------periodic shifts-----------------------------\n", " uL = np.roll(u, +1) # u_{i-1}\n", " uR = np.roll(u, -1) # u_{i+1}\n", " ux = (uR - uL) / (2*dx) # upwind for convection\n", " # centered for diffusion\n", " uxx = (uR - 2.0*u + uL) / (dx*dx)\n", " # explicit Euler update\n", " u = u - dt * c * ux + dt * nu * uxx\n", "# -------------------- plot: numerical vs exact at same times --------------------\n", "print(f\"Property Conservation: sum(u(t=0))={np.sum(snaps[0][1]):.4g}, sum(u(t=t_end))={np.sum(snaps[-1][1]):.4g}\")\n", "plt.figure(figsize=(10,4))\n", "colors = plt.cm.viridis(np.linspace(0, 1, len(snaps)))\n", "def u_exact(x, t, A, k, phi, c, nu):\n", " return A * np.exp(-nu * k**2 * t) * np.sin(k * ((x+dx/2) - c*t) + phi)\n", "for i, (t, u_num) in enumerate(snaps):\n", " col = colors[i]\n", " u_ex = u_exact(x, t, A, k, phi, c, nu)\n", " plt.plot(x, u_num, color=col, label=f\"FD t={t:.2f}\")\n", " plt.plot(x, u_ex, \"o\", color=col, linewidth=2, label=f\"Exact t={t:.2f}\",fillstyle='none')\n", "\n", "# error at final time\n", "u_ex_final = u_exact(x, t_end, A, k, phi, c, nu)\n", "err_l2 = np.sqrt(np.mean((u - u_ex_final)**2))\n", "plt.title(f\"Periodic convection–diffusion (upwind+centered). L2 err ~ {err_l2:.3e}\")\n", "plt.xlabel(\"$x$\",fontsize=16)\n", "plt.ylabel(\"$u(x,t)$\",fontsize=16)\n", "plt.grid(True, alpha=0.3)\n", "plt.legend(ncol=5,fontsize=9,loc=\"center left\",bbox_to_anchor=(0.0, 1.2))\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "d4f12133-1ee1-4c39-a16b-9380f52d11ce", "metadata": {}, "source": [ "### FDM Solution (FTFSCS)" ] }, { "cell_type": "code", "execution_count": 27, "id": "05eb1525-2f42-46a9-98f0-d883cef30c4c", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dx=0.01571, dt=0.005495, Nt=91, CFL=0.350, diff=0.445\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# ---------------- parameters (physical units) ----------------\n", "c = 1.0 # convection speed\n", "nu = 0.02 # diffusivity\n", "A = 1.0\n", "phi = 0.0\n", "L = 2*np.pi # domain length\n", "k = 1.0\n", "t_end = 0.5\n", "# ---------------- parameters (numerical units)----------------\n", "Nx = 400\n", "x = np.linspace(0.0, L, Nx, endpoint=False) # IMPORTANT: periodic grid (no duplicate point at L)\n", "dx = L / Nx\n", "CFL = 0.6 # stable dt (explicit)\n", "dt_adv = np.inf if abs(c) < 1e-15 else CFL * dx / abs(c)\n", "dt_dif = np.inf if nu <= 0 else 0.45 * dx*dx / nu\n", "dt = min(dt_adv, dt_dif)\n", "Nt = int(np.ceil(t_end / dt))\n", "dt = t_end / Nt\n", "print(f\"dx={dx:.4g}, dt={dt:.4g}, Nt={Nt}, CFL={abs(c)*dt/dx:.3f}, diff={nu*dt/dx**2:.3f}\")\n", "# -------------------- initial condition --------------------\n", "u = A * np.sin(k*(x+dx/2) + phi)\n", "# snapshots\n", "snap_times = np.linspace(0, t_end, 5)\n", "snap_ids = set(np.round(snap_times / dt).astype(int))\n", "snaps = []\n", "# -------------------- Main Loop --------------------\n", "for n in range(Nt + 1):\n", " t = n * dt\n", " #---------------------save-snaps-------------- \n", " if n in snap_ids:\n", " snaps.append((t, u.copy()))\n", " if n == Nt:\n", " break\n", " #----------------periodic shifts-----------------------------\n", " uL = np.roll(u, +1) # u_{i-1}\n", " uR = np.roll(u, -1) # u_{i+1}\n", " if c >= 0:\n", " ux = (u - uL) / dx # upwind for convection\n", " else:\n", " ux = (uR - u) / dx \n", " # centered for diffusion\n", " uxx = (uR - 2.0*u + uL) / (dx*dx)\n", " # explicit Euler update\n", " u = u - dt * c * ux + dt * nu * uxx\n", "# -------------------- plot: numerical vs exact at same times --------------------\n", "plt.figure(figsize=(10,4))\n", "colors = plt.cm.viridis(np.linspace(0, 1, len(snaps)))\n", "def u_exact(x, t, A, k, phi, c, nu):\n", " return A * np.exp(-nu * k**2 * t) * np.sin(k * (x - c*t) + phi)\n", "for i, (t, u_num) in enumerate(snaps):\n", " col = colors[i]\n", " u_ex = u_exact(x, t, A, k, phi, c, nu)\n", " plt.plot(x, u_num, color=col, linewidth=1, label=f\"FD t={t:.2f}\")\n", " plt.plot(x, u_ex, \"--\", color=col, linewidth=1, label=f\"Exact t={t:.2f}\")\n", "\n", "# error at final time\n", "u_ex_final = u_exact(x, t_end, A, k, phi, c, nu)\n", "err_l2 = np.sqrt(np.mean((u - u_ex_final)**2))\n", "plt.title(f\"Periodic convection–diffusion (upwind+centered). L2 err ~ {err_l2:.3e}\")\n", "plt.xlabel(\"$x$\",fontsize=16)\n", "plt.ylabel(\"$u(x,t)$\",fontsize=16)\n", "plt.grid(True, alpha=0.3)\n", "plt.legend(ncol=5,fontsize=9,loc=\"center left\",bbox_to_anchor=(0.0, 1.2))\n", "plt.tight_layout()\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 29, "id": "3ccac88e-fa10-4fec-959d-3db4d07f8b1f", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Nx=400, L=6.28319, dx=0.015708\n", "Nt=637, dt=0.00941915, CFL=|c|dt/dx=0.600\n", "nu=0.02 (diffusion is implicit -> no dt restriction)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# ---------------------------------------------------------------------\n", "def u_exact(x, t, A, k, phi, c, nu):\n", " return A * np.exp(-nu * k**2 * t) * np.sin(k * (x - c*t) + phi)\n", "\n", "def solve_periodic_imex(c=1.0, nu=0.02, A=1.0, k=1.0, phi=0.0,\n", " L=2*np.pi, Nx=400, t_end=1.0, CFL=0.6,\n", " n_snaps=5, diag_every=50):\n", " \"\"\"\n", " IMEX scheme:\n", " - Advection: explicit upwind\n", " - Diffusion: implicit backward Euler (periodic via FFT)\n", " This is very robust. Diffusion has no stability restriction.\n", " \"\"\"\n", "\n", " # periodic grid (no duplicate endpoint)\n", " x = np.linspace(0.0, L, Nx, endpoint=False)\n", " dx = L / Nx\n", "\n", " # choose dt from advection CFL only\n", " if abs(c) < 1e-15:\n", " dt = t_end / 2000.0\n", " else:\n", " dt = CFL * dx / abs(c)\n", "\n", " Nt = int(np.ceil(t_end / dt))\n", " dt = t_end / Nt\n", "\n", " CFL_num = 0.0 if abs(c) < 1e-15 else abs(c) * dt / dx\n", " print(f\"Nx={Nx}, L={L:.6g}, dx={dx:.6g}\")\n", " print(f\"Nt={Nt}, dt={dt:.6g}, CFL=|c|dt/dx={CFL_num:.3f}\")\n", " print(f\"nu={nu:.6g} (diffusion is implicit -> no dt restriction)\")\n", "\n", " # initial condition\n", " u = u_exact(x, 0.0, A, k, phi, c, nu).astype(np.float64)\n", "\n", " # snapshot schedule\n", " snap_times = np.linspace(0, t_end, n_snaps)\n", " snap_ids = set(np.round(snap_times / dt).astype(int).tolist())\n", " snaps = []\n", "\n", " # FFT wave numbers for periodic diffusion solve\n", " # For FFT in numpy, frequencies are cycles per unit; convert to angular: 2π * freq\n", " kk = 2.0 * np.pi * np.fft.fftfreq(Nx, d=dx)\n", " # diffusion implicit factor in Fourier space: u_hat^{n+1} = u_hat^* / (1 + nu*dt*kk^2)\n", " diff_denom = 1.0 + nu * dt * (kk**2)\n", "\n", " for n in range(Nt + 1):\n", " t = n * dt\n", "\n", " if n in snap_ids:\n", " snaps.append((t, u.copy()))\n", "\n", " # diagnostics\n", " if (diag_every is not None) and (n % diag_every == 0 or n == Nt):\n", " if not np.isfinite(u).all():\n", " bad = np.where(~np.isfinite(u))[0][:10]\n", " raise FloatingPointError(f\"NaN/Inf detected at step {n}, indices {bad}\")\n", " # print(f\"step {n:6d}/{Nt}: t={t:.4f}, min={u.min():+.3e}, max={u.max():+.3e}\")\n", "\n", " if n == Nt:\n", " break\n", "\n", " # ---- explicit upwind advection ----\n", " uL = np.roll(u, +1) # u_{i-1}\n", " uR = np.roll(u, -1) # u_{i+1}\n", "\n", " if c >= 0:\n", " ux = (u - uL) / dx\n", " else:\n", " ux = (uR - u) / dx\n", "\n", " u_star = u - dt * c * ux # after advection\n", "\n", " # ---- implicit diffusion via FFT ----\n", " uhat = np.fft.fft(u_star)\n", " uhat_new = uhat / diff_denom\n", " u = np.real(np.fft.ifft(uhat_new))\n", "\n", " return x, snaps, u\n", "\n", "# -------------------- run + plot --------------------\n", "if __name__ == \"__main__\":\n", " c = 1.0\n", " nu = 0.02\n", " A = 1.0\n", " k = 1.0\n", " phi = 0.0\n", " L = 2*np.pi\n", " Nx = 400\n", " t_end = 6.0\n", "\n", " x, snaps, u_final = solve_periodic_imex(\n", " c=c, nu=nu, A=A, k=k, phi=phi, L=L, Nx=Nx, t_end=t_end,\n", " CFL=0.6, n_snaps=6, diag_every=100)\n", "\n", " # plot numerical vs exact at same times\n", " plt.figure(figsize=(10,5))\n", " colors = plt.cm.viridis(np.linspace(0, 1, len(snaps)))\n", " for i, (t, u_num) in enumerate(snaps):\n", " col = colors[i]\n", " u_ex = u_exact(x, t, A, k, phi, c, nu)\n", " plt.plot(x, u_num, color=col, linewidth=1, label=f\"FD (IMEX) t={t:.2f}\")\n", " plt.plot(x, u_ex, \"--\", color=col, linewidth=1, label=f\"Exact t={t:.2f}\")\n", "\n", " u_ex_final = u_exact(x, t_end, A, k, phi, c, nu)\n", " err_l2 = np.sqrt(np.mean((u_final - u_ex_final)**2))\n", " plt.title(f\"Advection–diffusion periodic: IMEX (upwind + implicit diffusion). L2 err ~ {err_l2:.3e}\")\n", " plt.xlabel(\"$x$\")\n", " plt.ylabel(\"$u(x,t)$\")\n", " plt.grid(True, alpha=0.3)\n", " plt.legend(ncol=5,fontsize=9,loc=\"center left\",bbox_to_anchor=(0.0, 1.2))\n", " plt.tight_layout()" ] }, { "cell_type": "markdown", "id": "f825d322-636b-402a-a91d-cb365e412b3e", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "## 2nd Benchmark: 1D Perturbation wave-decay" ] }, { "cell_type": "code", "execution_count": 31, "id": "202a71e4-90b2-4134-9fbd-6175db46fd1a", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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LaHtxpupuSlnrkpSUxMRiMVu4cKHBcVeuXGESicRoO2OM1atXj/Xq1ctgW+fOnZk1H4WRkZHM29vbaHtOTg57/Pix8JOVlSXsy8/PN/pMSExMZHK53OA9u2HDBgaAJSYmGhxb/LOBfw9aekzL+l7Jzc01Ou7HH39kANjx48eFbeV9r/CP9/Lly4VtBQUFwntVqVQyxqx/TBgz/hyZNGkS8/T0ZGq12mw55s+fz9zc3Njt27cNtk+fPp2JxWJ2//59i/Uw93nOl7tDhw5G9zf1GJ8+fZoBYN9//72wbcaMGUwqlbL09HRhW0FBAfP29jZ43EeNGsWqVavG0tLSDK45aNAg5uXlJdzP1PNd/DOWMd17USaTsbt37wrbLl26xACw1atXC9v69evHXF1d2YMHD4Rtd+7cYRKJxKr3kimW4glzMjIyTH6vFBcWFsYAsB07dgjbsrKyWLVq1VhkZKSwzdxzV5rPQmvfR/3792cuLi7s3r17wrbr168zsVhs9BgW/8zmy9mtWzeDGOODDz5gYrFYiIGSk5OZRCJh/fv3N7jenDlzGACDa1qjwnpR8hmmp0+flnjs5s2b0adPH3h4eAAA6tati5YtWxo0Sz969AgXL17E8OHD4eXlJWzv3r07GjVqZHC9l19+Gf7+/gZReEZGBuLi4jBw4EBh208//YSGDRuiQYMGSEtLE35efvllAMCRI0cA6DKTWq0Ws2bNMuqYWpb0/Llz55Camopx48YZ9DPq06cPGjRoYHIk5pgxYwx+79ixI/76669S39uS0jxntsZnin799VerR2vzr4kRI0bA19dX2N6sWTN0794de/fuNTrH1OP45MkTZGdnW7zXkydP4OPjY1W5ynuv53XNuLg4ZGZmYvDgwQavf7FYjDZt2givf3spqS6//PILtFot3nzzTYPyBQcHo27duibL5+Pjg7S0NINtR48eLTG7COi6rJjKjH/yyScICAgQfv79738L++RyufCZoNFo8OTJE6GJ+M8//yz5QSiG/2w7cOCA2ebfsrxXAEChUAj/z8/PR1paGtq2bQsAJstanteaRCLBe++9J/wuk8nw3nvvITU1FefPn7e6zOZ4e3ub7H6g76effkLHjh2F1wT/061bN2g0Ghw/frxcZRg9ejTEYrHBNv3HWKVS4cmTJ6hTpw68vb0NHuOBAwdCpVIZNJnGxsYiMzNT+I5ijGHHjh3o168fGGMGdYiOjkZWVlaZXmPdunVD7dq1hd+bNWsGT09P4ftEo9Hg4MGD6N+/v0GGvE6dOgbdMSzJzc01KC//nszJyTHYlpGRYfE6CoUCMpkMR48eLfHYkJAQg5YFT09PDBs2DBcuXEBycrLBscWfu9J8FlrzPtJoNDhw4AD69++PmjVrCsc3bNhQyB5b49133zWIMTp27AiNRoN79+4BAA4dOgS1Wo1x48YZnPf+++9bfQ99FRYw5uTkAIAQBJpz48YNXLhwAe3bt8fdu3eFny5dumD37t3ChxP/ANWtW9foGvXr1zf4XSKR4LXXXsOvv/4q9EX85ZdfoFKpDALGO3fu4Nq1awZfBgEBAUJzbGpqKgAgISEBIpHIKDAtK74uxcsNAA0aNBD281xcXIyaAnx8fAzeQI8fP0ZycrLRT/H+DpZY+5zZw8CBA9G+fXu88847CAoKwqBBg7B9+3aLX4iWHseGDRsiLS1NaG7g6b95AQhBYEkfRgCsCjpsda/ncc07d+4A0P2BVfw9EBsbK7z+7aWkuty5cweMMdStW9eofDdu3DBZPsZYmftYeXh4CO8BfePGjUNcXBzi4uKMmpO0Wi1WrFiBunXrQi6Xw9/fHwEBAbh8+bLV/bf1RURE4MMPP8T69evh7++P6OhofPXVVwbXKst7BdD1t5w0aRKCgoKgUCgQEBCAiIgIADBZ1vK81kJCQowGEvCfq7aY3mncuHGoV68eevXqhRo1auDtt9826od3584d7N+/3+i1w/dDLu/rm3/s9OXl5WHWrFlCn0n+9ZCZmWnwGL/wwgto0KCBQVJj27Zt8Pf3FxIWjx8/RmZmJr755hujOvB99MtSh+LPK2D4fZKamoq8vDyTs0FYO0PEsmXLjMoM6AIZ/W2RkZEWryOXy7F06VLs27cPQUFB6NSpE5YtW2YUAPJlK/7eN/eaK/7cleaz0Jr30ePHj5GXl2dVvGJJSe9B/juw+PPi6+tb6gQHUEF9GAHg6tWrAEp+gW3atAmAbm4/U3PQ7dixw+QAlpIMGjQI69atw759+9C/f39s374dDRo0wAsvvCAco9Vq0bRpU3zxxRcmrxEaGlrq+9pD8b9iTWndurVRoAnoptew9gPa2uesNMx9eRcfsKNQKHD8+HEcOXIEe/bswf79+7Ft2za8/PLLiI2NteoxsIa565QUDPr5+ZU6KCvrvZ7XNfkA44cffjA52M3eIyxLqotWqwXHcdi3b5/JY01lAzMyMkx+SFujQYMGuHjxIh48eIDq1asL2+vVqyd88RQfebxo0SLMnDkTb7/9NubPnw9fX1+IRCJMnjzZIICz9n0AAMuXL8eIESPw66+/IjY2FhMnTsTixYvx+++/o0aNGmV+r7z55ps4deoUPvroIzRv3hzu7u7QarXo2bOnyWDTHq9ffaV5TIoLDAzExYsXceDAAezbtw/79u3Dhg0bMGzYMKEvvFarRffu3TF16lST1zDVT7s09DNNvPfffx8bNmzA5MmT0a5dO2ERg0GDBhk9xgMHDsTChQuRlpYGDw8P/Pbbbxg8eLDwvuOPHzp0qFFfR16zZs1KXW57P6+Art9whw4dDLZ1794dH330EXr06CFsM/UYFjd58mT069cPu3btwoEDBzBz5kwsXrwYhw8fLjHgNKf4fUvzWVja91F5PI/nSl+FBIwajQZbtmyBq6ur0YtGH2MMW7ZsQdeuXY1SqgAwf/58bN68GSNHjhQGG/B/Cei7deuW0bZOnTqhWrVq2LZtGzp06IDDhw8LnZd5tWvXxqVLlxAVFWUxK1G7dm1otVpcv34dzZs3N3uctZkNvi63bt0S/prUr0tpBlbwNm/ejLy8PKPt1rwheT/88AM4jjPqIFwePj4+yMzMNNpuKrgViUSIiopCVFQUvvjiCyxatAiffPIJjhw5YnJ0sv7jWNzNmzfh7+9vs+kSGjRogB07dtjkWs+budcl3ywVGBho1ejv56127dpgjCEiIsKqL3e1Wo2///4b//rXv8p0v759+2Lr1q3YvHmz2SCjuJ9//hldu3bF//3f/xlsz8zMhL+/v/A7/9d+8feCqfcBADRt2hRNmzbFp59+ilOnTqF9+/aIiYnBggULAJT+vZKRkYFDhw5h7ty5mDVrlrDd1OepLTx8+NBouhJ+9gV+8EBpH5PiZDIZ+vXrh379+kGr1WLcuHFYt24dZs6ciTp16qB27drIyckp82u7LJnqn3/+GcOHD8fy5cuFbfn5+SY/AwcOHIi5c+dix44dCAoKQnZ2tjAgEwACAgLg4eEBjUbzXN+fgYGBcHFxwd27d432mdpmSq1atVCrVi2j7Y0aNSpTXWrXro3//Oc/+M9//oM7d+6gefPmWL58uZBw4stWvIWh+GvO0vWBkj8LrX0fBQQEQKFQWB2vlBX/HXj37l2DrOmTJ0/K1Or03JukNRoNJk6ciBs3bmDixIkGk0AXd/LkSSQlJWHkyJF4/fXXjX4GDhyII0eO4OHDh6hWrRqaN2+O7777zmh6ievXrxtdWyQS4fXXX8f//vc//PDDD1Cr1QbN0YDuL4UHDx7g22+/NTo/Ly9PaM7s378/RCIR5s2bZ/QXhH6k7+bmZvKDobhWrVohMDAQMTExBtP37Nu3Dzdu3ChxVLkp7du3R7du3Yx+zE0PUtySJUsQGxuLgQMHljlDY0rt2rWRlZWFy5cvC9sePXpkNB1Senq60bl8cG5qiiMABq8J/cf96tWriI2NRe/evctfgULt2rVDRkaGzfuNPg/8l3bx12Z0dDQ8PT2xaNEiqFQqo/NK053BHl599VWIxWLMnTvX6C9qxpjRNBbXr19Hfn4+XnrpJYPt1k6r8+abb6JRo0aYP38+fv/9d5PHFC+HWCw22vbTTz8ZTY/FfyHp95vTaDT45ptvDI7Lzs6GWq022Na0aVOIRCLhfVCW9wqfqSheVksjhctDrVYbTCGiVCqxbt06BAQEoGXLlgCsf0xMKf7ci0QiIdvGPwZvvvkmTp8+jQMHDhidn5mZafQ4F2ft57k+U6+H1atXm8yaNmzYEE2bNsW2bduwbds2VKtWDZ06dTK41muvvYYdO3YIrT/67PX+FIvF6NatG3bt2oWHDx8K2+/evYt9+/bZ5Z7m5ObmGo32rV27Njw8PIxe6w8fPjT4XsnOzsb333+P5s2blzhdoLWfhda+j8RiMaKjo7Fr1y7cv39f2H7jxg2Tr8eyioqKgkQiwdq1aw22r1mzpkzXK3WGcc2aNcjMzBReKP/73//wzz//ANCl2/UHnGRlZQkRfm5urrDSS0JCAgYNGoT58+dbvNfmzZshFovNBkj/+te/8Mknn2Dr1q348MMPsXjxYvTp0wcdOnTA22+/jfT0dKxevRqNGzc22fdo4MCBWL16NWbPno2mTZsaTVny1ltvYfv27RgzZgyOHDmC9u3bQ6PR4ObNm9i+fTsOHDiAVq1aoU6dOvjkk08wf/58dOzYEa+++irkcjnOnj2LkJAQYUqUli1bYu3atViwYAHq1KmDwMBAowwioJv6Z+nSpRg5ciQ6d+6MwYMHC9PqhIeH22V5OJ5arRaes/z8fNy7dw+//fYbLl++jK5du1r1YV0agwYNwrRp0zBgwABMnDhRmKqgXr16Bh22582bh+PHj6NPnz4ICwtDamoqvv76a9SoUcNilvqzzz5Dr1690K5dO4waNUqYVsfLy8um6xf36dMHEokEBw8exLvvvmuz6z4PzZs3h1gsxtKlS5GVlQW5XI6XX34ZgYGBWLt2Ld566y20aNECgwYNQkBAAO7fv489e/agffv2Vn3w7Nixw2RANnz48HJ166hduzYWLFiAGTNmICkpCf3794eHhwcSExOxc+dOvPvuuwZzqsbFxcHV1dUoQ27ttDpSqRQ7d+5EdHQ0OnTogFdffVWYk+3Bgwf47bffcP/+fYPPq759+2LevHkYOXIkXnrpJVy5cgWbN282yq40btwYbdu2xYwZM5Ceng5fX19s3brVKGg5fPgwJkyYgDfeeAP16tWDWq3GDz/8IAQPQNneK56enkL/L5VKherVqyM2NhaJiYklPxFlEBISgqVLlyIpKQn16tXDtm3bcPHiRXzzzTfC6jPWPiamvPPOO0hPT8fLL7+MGjVq4N69e1i9ejWaN28ufM5/9NFH+O2339C3b1+MGDECLVu2xLNnz3DlyhX8/PPPSEpKMsgCF2ft57m+vn374ocffoCXlxcaNWqE06dP4+DBg8J0NcUNHDgQs2bNgouLC0aNGmU0qHLJkiU4cuQI2rRpg9GjR6NRo0ZIT0/Hn3/+iYMHD5r848EW5syZg9jYWLRv3x5jx46FRqPBmjVr0KRJE1y8eNEu9zTl9u3biIqKEv6Yk0gk2LlzJ1JSUgyysYCui8GoUaNw9uxZBAUF4b///S9SUlKwYcOGEu/j6elp1Wdhad5Hc+fOxf79+9GxY0eMGzcOarVaiFf0EyjlERQUhEmTJmH58uX417/+hZ49e+LSpUvYt28f/P39S58lL9WYalY0PN3Uj/70B/zUCfyPu7s7q1u3Lhs6dCiLjY0t8T5KpZL5+fmxjh07WjwuIiLCYFj8jh07WMOGDZlcLmeNGjViv/zyi9mpW7RaLQsNDWUA2IIFC8yWY+nSpaxx48ZMLpczHx8f1rJlSzZ37lyD6TMYY+y///0vi4yMFI7r3Lkzi4uLE/YnJyezPn36MA8PDwZAmJLB1DQRjDG2bds24Xq+vr5syJAh7J9//jE4xtxUOKamTCgJP0UP/+Pq6srCw8PZa6+9xn7++Wej6UEYK/+0Oozppj5q0qQJk8lkrH79+mzTpk1G5T906BB75ZVXWEhICJPJZCwkJIQNHjzYYEoMU1NHMMbYwYMHWfv27ZlCoWCenp6sX79+7Pr16wbH8PcrPhWJuak9TPnXv/7FoqKiDLZZmlbHmnuVdloda65ZfIoGxhj79ttvWa1atYQpHfRfi0eOHGHR0dHMy8uLubi4sNq1a7MRI0awc+fOWXw8+Lqb++GnqypPXRjTvec7dOjA3NzcmJubG2vQoAEbP348u3XrlsFxbdq0YUOHDjUqp7XT6vAyMzPZvHnzWGRkJHN3d2cymYyFhoay119/3Wiqrvz8fPaf//yHVatWjSkUCta+fXt2+vRpk++bhIQE1q1bNyaXy1lQUBD7+OOPWVxcnMHz8ddff7G3336b1a5dm7m4uDBfX1/WtWtXdvDgQeE6ZX2v/PPPP2zAgAHM29ubeXl5sTfeeIM9fPiw3M9Pcfxr+ty5c6xdu3bMxcWFhYWFsTVr1hgda81jwpjxtDo///wz69GjBwsMDGQymYzVrFmTvffee+zRo0cG13/69CmbMWMGq1OnDpPJZMzf35+99NJL7PPPPxem9zHH3Oc5/zicPXvW6JyMjAw2cuRI5u/vz9zd3Vl0dDS7efOmyfckY7qpavj3S3x8vMlypKSksPHjx7PQ0FAmlUpZcHAwi4qKYt98841wTGmm1Sn+2c2Y6c+MQ4cOscjISCaTyVjt2rXZ+vXr2X/+8x/m4uJi5hGzzNRnd0nS0tLY+PHjWYMGDZibmxvz8vJibdq0Ydu3bzcqf58+fdiBAwdYs2bNmFwuZw0aNDCansrSc8eYdZ+F1r6PGGPs2LFjrGXLlkwmk7FatWqxmJgYk8+LuWl1ipfTVCyhVqvZzJkzWXBwMFMoFOzll19mN27cYH5+fmzMmDElPcQGOMbs1DuSkCrmxIkT6NKlC27evGnTZntSfhcvXkSLFi3w559/WuxnTOyvS5cuSEtLM9mMShxb//79ce3aNbv1fS2r8PBwNGnSxGCFnKosMzMTPj4+WLBggdHYDUsqfjVrQpxEx44d0aNHDyxbtqyii0KKWbJkCV5//XUKFgmxkeKDKO/cuYO9e/cKSySSysHUYFe+T2Vpn6vKs/I4IU7geXf6JtbZunVrRReBEKdSq1YtYc3ke/fuYe3atZDJZFbPIECej23btmHjxo3Ckrzx8fH48ccf0aNHD6sHvfIoYCSEEEJIqfTs2RM//vgjkpOTIZfL0a5dOyxatIi641QyzZo1g0QiwbJly5CdnS0MhOGn4CoN6sNICCGEEEIsoj6MhBBCCCHEIgoYCSGEEEKIRdSHsQy0Wi0ePnwIDw+PMi0PRQghhJDnjzGGp0+fIiQkxGgidGIZBYxl8PDhw3KtUEEIIYSQivP333+jRo0aFV0Mh0IBYxl4eHgA0L3gLK2FXRYqlQqxsbHo0aOHsESWM6H6OT5nryPVz/E5ex2dvX6A/eqYnZ2N0NBQ4XucWI8CxjLgm6E9PT3tEjC6urrC09PTKT8IqH6Oz9nrSPVzfM5eR2evH2D/OlJ3stKjBnxCCCGEEGIRBYyEEEIIIcQiChgJIYQQQohF1IeREOLUNBoNVCqV1cerVCpIJBLk5+dDo9HYsWQVw9nrBzh/HZ29fkDZ6yiVSiEWi+1YsqqLAkZCiFNijCE5ORmZmZmlPi84OBh///23U3aMd/b6Ac5fR2evH1C+Onp7eyM4ONhpH5uKQgEjIcQp8cFiYGAgXF1drf7y0Gq1yMnJgbu7u1NO7Ovs9QOcv47OXj+gbHVkjCE3NxepqakAgGrVqtmziFUOBYyEEKej0WiEYNHPz69U52q1WiiVSri4uDjll7Gz1w9w/jo6e/2AstdRoVAAAFJTUxEYGEjN0zbknK80QkiVxvdZdHV1reCSEEKeN/59X5q+y6RkFDASQpwW9WEipOqh9719UMBICCGEEEIsooCREEJIhbp16xaCg4Px9OnTii4KqeTatm2LHTt2VHQxqiQKGAkhpJLo0qULJk+ebPf7MMYwe/ZsVKtWDQqFAt26dcOdO3dKPO+rr75CeHg4XFxc0KZNG/zxxx8G+7t06QKO4wx+xowZU+J1Z8yYgffffx8eHh5lrlNpzZkzB82bN39u93seNm7cCG9v7+dyr6NHj6JFixaQy+WoU6cONm7cWOI5ly9fRseOHeHi4oLQ0FAsW7bMYP/GjRuF141YLIaPj49RP+RPP/0U06dPh1artWV1iBUoYCTEThhjUGnoQ41UPitXrsTq1asRExODM2fOwM3NDdHR0cjPzzd7zrZt2/Dhhx9i9uzZ+PPPP/HCCy8gOjpamMKEN3r0aDx69Ej4KR4UFHf//n3s3r0bI0aMsEXVnjulUlnRRXjuEhMT0adPH3Tt2hUXL17E5MmT8c477+DAgQNmz8nOzkaPHj0QFhaG8+fP47PPPsOcOXPwzTffGBzn6emJR48e4cGDB7h58yYSExMN9vfq1QtPnz7Fvn377FI3YgEjpZaVlcUAsKysLJtfW6lUsl27djGlUmnza1cGVal+Q779nb20+BDLfOZcdXWE5zAvL49dv36d5eXllfpcjUbDMjIymEajsUPJzBs+fDgDYPCTmJho8/uo1WoWFBTEli1bJmzLzMxkcrmc/fjjj2bPe/HFF9n48eOF3zUaDQsJCWGLFy8WtnXu3JlNmjSpVOX57LPPWKtWrYy2x8fHs86dOzOFQsG8vb1Zjx49WHp6unDvRYsWsfDwcObi4sKaNWvGfvrpJ+HcQ4cOMQAsNjaWtWzZkikUCtauXTt28+ZNxhhjGzZsMHqsN2zYwBhjLCMjg40aNYr5+/szDw8P1rVrV3bx4kXh2rNnz2YvvPAC+/bbb1l4eDjjOK5U9bVWWloaGzRoEAsJCWEKhYI1adKEbdmyRah/8dfokSNHjOo0e/Zsu5Rt6tSprHHjxgbbBg4cyKKjo82e8/XXXzMfHx9WUFAgbJs2bRqrX7++8PuGDRuYl5cXY8zy+3DkyJFs6NChZu9l6f1vz+9vZ0cZRkLsoECtRfzdNDzIzMNvlx9WdHGqPMYYcpVqq3/ylJpSHW/phzFmVRlXrlyJdu3aGWToQkNDTR47ZswYuLu7W/wxJzExESkpKYiKihK2eXl5oU2bNjh9+rTJc5RKJc6fP49u3boJ20QiEbp162Z0zubNm+Hv748mTZpgxowZyM3NtVjvEydOoFWrVgbbLl68iKioKDRq1AinT59GfHw8+vXrJywRt3jxYnz//feIiYnBtWvX8MEHH2Do0KE4duyYwXVmzpyJ5cuX49y5c5BIJHj77bcBAAMHDsR//vMfNG7cWHisBw4cCAB44403kJqain379uH8+fNo0aIFoqKikJ6eLlz37t272LFjB3755RdcvHjRZL3u379f4nO0aNEis49Lfn4+WrZsiT179uDq1at499138dZbbxl1A+C99NJL+PLLL4UM3aNHjzBlyhSzj3lJZdu8ebPZsp0+fdrgtQAA0dHRZl8//DmdOnWCTCYzOOfWrVvIyMgQtuXk5CAsLAxhYWH497//jWvXrhld68UXX8SJEyfM3ovYB03cTYgdpGQXNe2pqVm6wuWpNGg0y3xzmT1dnxcNV1nJH7VeXl6QyWRwdXVFcHCwxWPnzZtnNhgoSXJyMgAgKCjIYHtQUJCwr7i0tDRoNBqT59y8eVP4/d///jfCwsIQEhKCy5cvY9q0abh16xZ++eUXs+W5d++eUcC4bNkytGrVCl9//bWwrXHjxgCAgoICLFq0CAcPHkS7du0AALVq1UJ8fDzWrVuHzp07C+fMnz9f+H369Ono06cP8vPzoVAo4O7uDolEYvBYx8fH448//kBqairkcjkA4PPPP8euXbvw888/49133wWgC6C///57BAQEmK1XSEiI2WCS5+vra3Zf9erVDZ7j999/HwcOHMD27duNHi8AkMlk8PLyAsdxJb5+WrVqVWLZij/X+pKTk02+FrKzs5GXlydMnl38nIiICJP3SE5Oho+PD+rXr4///ve/aNasGTIyMrB06VJ06NAB165dQ40aNYTzQkJC8Pfff0Or1TrtxOWVEQWMhNjB03y18P+sPJo8lthWYGAgAgMDK7oYRviACgCaNm2KatWqISoqCgkJCahdu7bJc/Ly8uDi4mKw7eLFi3jjjTdMHn/37l3k5uaie/fuBtuVSiUiIyMNtjVr1kz4P79MXGpqKmrWrGny2pcuXUJOTo7R6kB5eXlISEgQfg8LC7MYLAKARCJBnTp1LB5jiUajwaJFi7B9+3Y8ePAASqUSBQUFNpmMXqFQlKts9tKuXTvhjwCtVosmTZqgXbt2WLduHebPny8cp1AooNVqUVBQYDI4JfZBASMhdpCn0gj/p4Cx4imkYlyfF23VsVqtFk+zn8LD08Mm2QuF1PZLk40ZMwabNm2yeExOTo7J7Xz2KSUlBdWrVxe2p6SkmB017O/vD7FYjJSUFIPtKSkpFrNZbdq0AaAL8swFjP7+/gZNkgAsBgF8vfbs2WNQfgBCVpAnlUqF//OTOVsaXZuTk4Nq1arh6NGjRvv0Rx+7ubmZvQbv/v37aNSokcVjPv74Y3z88ccm93322WdYuXIlvvzySzRt2hRubm6YPHmyTQbZnDhxAr169bJ4zLp16zBkyBCT+4KDg02+Fjw9Pc0+d+bO4feZIpVK0bx5c9y9e9dge3p6Otzc3ChYfM4oYCTEDvQDxjylxsKR5HngOM6qZmFAF1CoZWK4yiTPvblLJpMJ/fQsKU+TdEREBIKCgnD48GG0aNECgG4E65kzZzB27Fiz5WrZsiUOHTqE/v37A9A9TocOHcKECRPM3otv9uSze6ZERkbi+vXrBtuaNWuGQ4cOYe7cuUbHN2rUCHK5HPfv3zdofi4tU491ixYtkJycDIlEgvDw8DJfGyh/k/TJkyfxyiuvYOjQoQB0j/ft27ctBqHWvn7K2yTdrl077N2712BbXFyckB00d84nn3wClUolBPJxcXGoX78+fHx8TJ6j0Whw9epV9O7d22D71atXjbLJxP4oYCTEDgpURVmMAjX1YSTWCQ8Px5kzZ5CUlAR3d3f4+vqaDFrL0yTNz424cOFC1KtXDxEREZg5cyZCQkKEYBAAoqKiMGDAACEg/PDDDzF8+HC0atUKL774Ir788ks8e/YMI0eOBAAkJCRgy5Yt6N27N/z8/HD58mV88MEH6NSpk0HTcHHR0dF45513oNFoIBbrsrEzZsxA06ZNMW7cOIwZMwYymQxHjhzBG2+8AX9/f0yZMgUffPABtFotOnTogKysLJw8eRKenp4YPny4VY9DeHg4EhMTcfHiRdSoUQMeHh7o1q0b2rVrh/79+2PZsmWoV68eHj58iD179mDAgAEm+w6aU94m6bp16+Lnn3/GqVOn4OPjgy+++AIpKSkWA8bw8HDk5OTg0KFDeOGFF+Dq6mqyCbu8TdJjxozBmjVrMHXqVLz99ts4fPgwtm/fjj179gjHrFmzBjt37sShQ4cA6Pq3zp07F6NGjcK0adNw9epVrFy5EitWrBDOmTdvHtq2bYs6deogPT0dixcvxr179/DOO+8Y3P/EiRPo0aNHmctPyqiih2k7IppWp+yqSv12nLvHwqbtZmHTdrOxm85VdLFsyhGeQ0ecVocxxm7dusXatm3LFAqF3abV0Wg0LD09nX366acsKCiIyeVyFhUVxW7dumVwXFhYmNG0LKtXr2Y1a9ZkMpmMvfjii+z3338X9t2/f5916tSJ+fr6MrlczurUqcM++uijEj8nVSoVCwkJYfv37zfYfvToUfbSSy8xuVzOvL29WXR0NMvIyGCMMabVatmXX37J6tevz6RSKQsICGDR0dHs2LFjjLGiaXWePHkiXO/ChQsGj2l+fj577bXXmLe3t8G0OtnZ2ez9999nISEhTCqVstDQUDZkyBB2//59xljRtDr29uTJE/bKK68wd3d3FhgYyD799FM2bNgw9sorr1h8jY4ZM4b5+fnZdVodxnTT+DRv3pzJZDJWq1Yt4fHjzZ49m4WFhRlsu3TpEuvQoQOTy+WsevXqbMmSJQb7J0+eLLy+goKCWPfu3dm5c4afn//88w+TSqXs77//Nls2mlbHPjjGrJzzgQiys7Ph5eWFrKwseHp62vTaKpUKe/fuRe/evQ363ziLqlK/Z0HN8PEuXTNbVINA/N+I1hVcMttxhOcwPz8fiYmJiIiIMBpQURKtVovs7Gx4eno65QjMyli/r776Cr/99pvFiZ9LozLW0ZacvX6A+TpOmzYNGRkZRhN+67P0/rfn97ezoyZpQuwgT69JOl9NfRgJseS9995DZmYmnj59+lyXBySOJzAwEB9++GFFF6NKooCREDvQH+ii35+REGJMIpHgk08+qehiEAfwn//8p6KLUGU5Zy6bkApWoJdVpEEvhBBCHB0FjITYQZ7BKGlqkiaEEOLYKGAkxA7yVZRhJIQQ4jwoYCTEDvQn7qY+jIQQQhwdBYyE2IFKXTRbFTVJE0IIcXQUMBJiByoNrfRCCCHEeVDASIgdqLX6GUYKGAkhhDg2ChgJsQOlXoZRo2VQayhoJFVXp06dsGXLloouBqlAaWlpCAwMxD///FPRRSFlRAEjIXag1hiuuElZRmKNLl26YPLkyXa/D2MMs2fPRrVq1aBQKNCtWzfcuXPH4jnHjx9Hv379EBISAo7jsGvXLqvu9dtvvyElJQWDBg2yQcmtk5SUBB8fH1y8ePG53fN5KM3jXh7p6ekYMmQIPD094e3tjVGjRiEnJ8fiOd988w26dOkCT09PcByHzMxMg/3+/v4YNmwYZs+ebceSE3uigJEQO1BrDQPE4gEkIRVp5cqVWL16NWJiYnDmzBm4ubkhOjoa+fn5Zs959uwZXnjhBXz11VeluteqVaswcuRIh13zWKVSVXQRnrshQ4bg2rVriIuLw+7du3H8+HG8++67Fs/Jzc1Fz5498fHHH5s9ZuTIkdi8eTPS09NtXWTyHDjmO5iQSk5VLEBUaSnDSCwbMWIEjh07hpUrV4LjOHAch6SkJJvfhzGGmJgYfPLJJ3jllVfQrFkzfP/993j48KHF7FWvXr2wYMECDBgwwOp7PX78GIcPH0a/fv0MtmdmZuK9995DUFAQXFxc0KRJE+zevVvYHx8fj44dO0KhUCA0NBQTJ07Es2fPhP3h4eFYtGgR3n77bXh4eKBmzZr45ptvhP21a9cGALRs2RIcx6FLly7CvvXr16Nhw4ZwcXFBgwYN8PXXXwv7kpKSwHEctm3bhs6dO8PFxQWbN2+2ur6l8cUXX6Bp06Zwc3NDaGgoxo0bZzGLFx4eDgAYMGAAxGIxmjVrZpdy3bhxA/v378f69evRpk0bdOjQAatXr8bWrVvx8OFDs+dNnjwZ06dPR9u2bc0e07hxY4SEhGDnzp32KDqxMwoYCbGD4n0WKcNYwRgDlM+s/1Hllu54Sz/Muud+5cqVaNeuHUaPHo1Hjx7h0aNHCA0NNXnsmDFj4O7ubvHHnMTERKSkpCAqKkrY5uXlhTZt2uD06dOle1xLEB8fD1dXVzRs2FDYptVq0atXL5w8eRKbNm3C9evXsWTJEojFYgBAQkICevbsiddeew2XL1/Gtm3bEB8fjwkTJhhce/ny5WjVqhUuXLiAcePGYezYsbh16xYA4PfffwcAxMbG4tGjR/jll18AAJs3b8asWbOwcOFC3LhxA4sWLcLMmTPx3XffGVx7+vTpmDRpEm7cuIHo6GiTdevVq5fFx79x48YWHxuRSIRVq1bh2rVr+O6773D48GFMnTrV7PFnz54FAGzYsAEPHjzA4cOHzR7buHFji2Xr1auX2XNPnz4Nb29vtGrVStjWrVs3iEQinDlzxmKdrPHiiy/ixIkT5b4Oef4kFV0AQpyRsniGkQa9VCxVLrAoxKpDRQC8bXnvjx8CMrcSD/Py8oJMJoOrqyuCg4MtHjtv3jxMmTKlTMVJTk4GAAQFBRlsDwoKEvbZyr179xAUFGTQHH3w4EH88ccfuHHjBurVqwcAqFWrlrB/8eLFGDJkiNCXs27duli1ahU6d+6MtWvXwsXFBQDQu3dvjBs3DgAwbdo0rFixAkeOHEH9+vUREBAAAPDz8zN4LGfPno3ly5fj1VdfBQBERETg+vXrWLduHYYPHy4cN3nyZOEYc9avX4+8vDyz+6VSqcXz9fuqhoeHY8GCBRgzZoxBxlMfXydvb28EBwcjOzvb7LX37t1rsSldoVCY3ZecnIzAwECDbRKJBL6+vjZ5fYSEhODChQvlvg55/ihgJMQOjDKMWsowEtsJDAw0+lKvjPLy8oQAj3fx4kXUqFFDCBaLu3TpEi5fvmzQFMwYg1arRWJiopCt1G+S5TgOwcHBSE1NNVuWZ8+eISEhAaNGjcLo0aOF7Wq1Gl5eXgbH6mfXzKlevXqJx1hy8OBBLF68GDdv3kR2djbUajXy8/ORm5sLV1fXcl07LCysXOfbk0KhQG5ubkUXg5QBBYyE2EHxPow0rU4Fk7rqMn1W0Gq1yH76FJ4eHrYZqCEt35e/KWPGjMGmTZssHmOuPxyfcUtJSTEIelJSUtC8eXOblRHQjYzNyMgw2GYpuwXoyv3ee+9h4sSJRvtq1qwp/L94Bo/jOGgt9BXmH49vv/0Wbdq0MdjHN4fz3NxKzgj36tXLYtNqWFgYrl27ZnJfUlIS+vbti7Fjx2LhwoXw9fVFfHw8Ro0aBaVSWe6AsXHjxrh3757Z/R07dsS+fftM7jMVeKvVaqSnp5eY+bZGenq6kC0ljoUCRkLsoPgo6eIBJHnOOM6qZmEAgFYLSDW645/zyF6ZTAaNpuSlJMvTJB0REYGgoCAcPnwYLVq0AABkZ2fjzJkzGDt2bJmuaU5kZCSSk5ORkZEBHx8fALrM4D///IPbt2+bzDK2aNEC169fR506dcp8X5lMBgAGj2VQUBBCQkLw119/YciQIWW+Nq88TdLnz5+HVqvF8uXLhT9Ktm/fXuI9pVKpVa+P8jRJt2vXDpmZmTh//jxatmwJADh8+DC0Wq1RoF0WV69eNRiERBwHBYyE2EHxQS7FA0hCTAkPD8eZM2eQlJQEd3d3+Pr6msxylqdJmuM4jBkzBgsXLkS9evUQERGBmTNnIiQkBP379xeOi4qKwoABA4TBJjk5Obh7966wPzExERcvXoSvr69B5k9fZGQk/P39cfLkSfTt2xcA0LlzZ3Tq1AmvvfYavvjiC9SpUwc3b94Ex3Ho2bMnpk2bhrZt22LChAl455134ObmhuvXryMuLg5r1qyxqo6BgYFQKBQ4cOAAatasCRcXF3h5eWHu3LmYOHEivLy80LNnTxQUFODcuXPIyMjAhx9+WKrHsTxN0nXq1IFKpcLq1avRr18/nDx5EjExMSWeFx4ejkOHDqFdu3ZQKpXw9PQ0eVx5mqQbNmyInj17YvTo0YiJiYFKpcKECRMwaNAghITo+gE/ePAAUVFR+P777/Hiiy8C0PV9TE5OFl4jV65cEUaw+/r6AtBNvXP+/HksWrSozOUjFYdGSRNiB0rqw0jKYMqUKRCLxWjUqBECAgJw//59u9xn0qRJmDBhAt599120bt0aOTk52L9/v0F/w4SEBKSlpQm/nzt3DpGRkYiMjAQAfPjhh4iMjMSsWbPM3kcsFgtz7+nbsWMHWrdujcGDB6NRo0aYOnWqkDlr1qwZjh07htu3b6Njx47CPfhgxRoSiQRLlizBN998g5CQELzyyisAgHfeeQfr16/Hhg0b0LRpU3Tu3BkbN25ERESE1de2hRdeeAFffPEFli5diiZNmmDz5s1YvHhxiectX74ccXFxCAsLQ6dOnexWvs2bN6NBgwaIiopC79690aFDB4Npi1QqFW7dumXQFzEmJgaRkZFC/9BOnTohMjISv/32m3DMr7/+ipo1a6Jjx452KzuxH44xK+d8IILs7Gx4eXkhKyvL7F94ZaVSqbB371707t27xFF2jqiq1O/TCy54mq8Gx+lmVdn+Xju8GOFb0cWzCUd4DvPz85GYmIiIiAijQRcl0Wq1yM7Ohqenp8NONm3J865fcnIyGjdujD///PO5Dcag57Byatu2LSZOnIh///vfJR5bnjpaev/b8/vb2TnOK40QB8JPo6OQ6jrT06AXUlUFBwfj//7v/+yWLSWOIS0tDa+++ioGDx5c0UUhZVTlAkaNRoOZM2ciIiICCoUCtWvXxvz580GJVmJLfB9GV5kuYFRRkzSpwvr370/NkFWcv78/pk6dCo7jKroopIyq3KCXpUuXYu3atfjuu+/QuHFjnDt3DiNHjoSXl5fJaRwIKS3GivosulCGkRBCiBOocgHjqVOn8Morr6BPnz4AdKPOfvzxR/zxxx8VXDLiLPQHSAsZRppWhxBCiAOrck3SL730Eg4dOoTbt28D0K0qEB8fb3FtTUJKQz82FPow0rQ6hBBCHFiVyzBOnz4d2dnZaNCgAcRiMTQaDRYuXGhxIteCggIUFBQIv/NreKpUKouTo5YFfz1bX7eyqAr10w8Y5RLd32T5SrXT1NkRnkOVSiUsJ2dp9Q9T+P7M/PnOxtnrBzh/HZ29fkD56qjVasEYg0qlMlrFpzJ/blV2VS5g3L59OzZv3owtW7agcePGuHjxIiZPnoyQkBCDxef1LV68GHPnzjXaHhsbW+4lnMyJi4uzy3UrC2eun/74lqeZTwCI8OeFi5A+uFBhZbKHyvwcSiQSBAcHIycnB0qlskzXePr0qY1LVbk4e/0A56+js9cPKFsdlUol8vLycPz4cajVaoN9tI512VW5eRhDQ0Mxffp0jB8/Xti2YMECbNq0CTdv3jR5jqkMY2hoKNLS0uwyD2NcXBy6d+9eaee4K4+qUL8de+Iw87wEIg7oWj8Ah24+xoJXGmFgqxoVXTybcITnMD8/H3///TfCw8NLPQ8jYwxPnz6Fh4eHU47odPb6Ac5fR2evH1C+Oubn5yMpKQmhoaEm52H09/eneRjLoMplGHNzc40mARWLxRZT3nK5HHK53Gi7VCq12xemPa9dGThz/fgMo1jEQSbRNYcwcE5X38r8HGo0GnAcB5FIVOpJf/nPAv58Z+Ps9QOcv47OXj+gfHUUiUTgOM7kZ1Rl/cxyBM75SrOgX79+WLhwIfbs2YOkpCTs3LkTX3zxBQYMGFDRRSNOgv/TQyziIBHr3mI0SppUVUqlEnXq1MGpU6cquiikAu3fvx/Nmzd32j6XVUGVCxhXr16N119/HePGjUPDhg0xZcoUvPfee5g/f35FF404CSHDyHGQinRNKTRKmlijS5cumDx5st3vwxjD7NmzUa1aNSgUCnTr1g137tyxeM7ixYvRunVreHh4IDAwEP3798etW7dKvFdMTAwiIiLw0ksv2ar4JTp69Ch8fHyQmZn53O5pb0lJSeA4DhcvXrT7ve7fv48+ffrA1dUVgYGB+Oijj4z6AhYv26hRowwWxJg9e7ZB/+GePXtCKpUarStOHEeVCxg9PDzw5Zdf4t69e8jLy0NCQgIWLFgAmUxW0UUjToIPGEUiDhKxLmCkDCOpTFauXInVq1cjJiYGZ86cgZubG6Kjo5Gfn2/2nGPHjmH8+PH4/fffERcXB5VKhR49euDZs2dmz2GMYc2aNRg1apQ9qmF3jDGLgZIz0mg06NOnD5RKJU6dOoXvvvsOGzduxKxZs8yec/PmTWi1Wqxbtw7Xrl3DihUrEBMTg48//tjguBEjRmDVqlX2rgKxF0ZKLSsriwFgWVlZNr+2Uqlku3btYkql0ubXrgyqQv1ituxiYdN2s+ZzD7DpOy6zsGm72Zdxtyu6aDbjCM9hXl4eu379OsvLyyv1uRqNhmVkZDCNRmOHkpk3fPhwBsDgJzEx0eb3UavVLCgoiC1btkzYlpmZyeRyOfvxxx+tvk5qaioDwI4dO2b2mLNnzzKRSMSys7MNtv/9999s0KBBzMfHh7m6urKWLVuy33//Xdi/a9cuFhkZyeRyOYuIiGBz5sxhKpVK2A+Affvtt6x///5MoVCwOnXqsF9//ZUxxlhiYqLR4zh8+HDGmO65XbRoEQsPD2cuLi6sWbNm7KeffhKue+TIEQaA7d27l7Vo0YJJpVJ25MgRqx+T0pg6dSqrW7cuUygULCIign366acW31PF69S+fXu7vEb37t3LRCIRS05OFratXbuWeXp6soKCAquvs2zZMhYREWGw7d69ewwAu3v3bonnl+d9aOn9b8/vb2dX5Qa9EGJv+oNepIUZRk3Vmoyg0mGMIU+dZ9WxWq0Weeo8SFQSmwwoUEgUVo3yXLlyJW7fvo0mTZpg3rx5AICAgACTx44ZMwabNm2yeL2cnByT2xMTE5GSkoKoqChhm5eXF9q0aYPTp09j0KBBJZYVALKysgAAvr6+Zo85ceIE6tWrBw8PD4Nyde7cGdWrV8dvv/2G4OBg/Pnnn0LfthMnTmDYsGFYtWoVOnbsiISEBLz77rsAgNmzZwvXmTt3LpYtW4bPPvsMq1evxpAhQ3Dv3j2Ehobip59+whtvvIEbN27A29sbCoUCgK5ZfdOmTYiJiUHdunVx/PhxDB06FAEBAejcubNw7enTp+Pzzz9HrVq14OPjY7JujRs3xr1798zWvWPHjti3b5/Z/R4eHti4cSNCQkJw5coVjB49Gh4eHpg6darJ4//44w+8+OKLOHjwIBo2bGgwc0dx7u7uZvcBwNChQxETE2Ny3+nTp9G0aVMEBQUJ26KjozF27Fhcu3YNkZGRFq/Ny8rKMnpt1KxZE0FBQThx4gRq165t1XVI5UEBIyE2pj/oRVQYKGioD2OFylPnoc2WNhVy7zP/PgNXacnztXp5eUEmk8HV1RXBwcEWj503bx6mTJlSpvIkJycDgEFAwP/O7yuJVqvF5MmT0b59ezRp0sTscffu3UNISIjBti1btuDx48c4e/asEFDUqVNH2D937lxMnz5dmBe3Vq1amD9/PqZOnWoQMI4YMQKDBw8GACxatAirVq3CH3/8gZ49ewrXDQwMFP5fUFCARYsW4eDBg2jXrp1w7fj4eKxbt84gYJw3bx66d+9u8THYu3evxUmg+SDVnE8//VT4f3h4OKZMmYKtW7eaDRj5Px78/PwQHBwsLCBhSkn9HC1NJ5OcnGzytcHvs8bdu3exevVqfP7550b7QkJCLAbapPKigJEQG9Mf9CIR8QFjBRaIOJ3AwEAEBgZW2P3Hjx+Pq1evIj4+3uJxeXl5RvPgXbx4EZGRkWYzk5cuXcLJkyexcOFCYZtGo0F+fj5yc3OFxRKaNWsm7Hdzc4OnpydSU1PNluXu3bvIzc01CgSVSqVR1qxVq1YW6wUAYWFhJR5jybZt27Bq1SokJCQgJycHarXaZvMC6gfgz9uDBw/Qs2dPvPHGGxg9erTRfoVCQZNnOygKGAmxMSFgFHMQiynDWBkoJAqc+fcZq47VarXChMG2apK2tfI0SfPZy5SUFFSvXl3YnpKSgubNm5d47wkTJmD37t04fvw4atSwPBm9v78/rly5YrCtpMxbTk4O5s6di1dffdVon37wWXw+PY7jLE7Zwj8ee/bsMag3AKN5dt3c3CyWEShfk/Tp06cxZMgQzJ07F9HR0fDy8sLWrVuxfPnyEu9rjfI0SQcHB+OPP/4w2JaSkiLss+Thw4fo2rUrXnrpJXzzzTcmj0lPTzfb1YJUbhQwEmJj+hlGMcdPq0N9GCsSx3FWNQsDuoBRLVHDVer63CdFlslk0Gg0JR5XnibpiIgIBAUF4fDhw2jRogUA3eoXZ86cwdixY82exxjD+++/j507d+Lo0aOIiIgo8V6RkZFYu3YtGGNCP85mzZph/fr1SE9PN5llbNGiBW7dulWuLBk/64X+Y9moUSPI5XLcv3/foPm5rMrTJH3q1CmEhYXhk08+EbaV1Exrqk7mlKdJul27dli4cCFSU1OFLHZcXBw8PT3RqFEjs+c9ePAAXbt2RcuWLbFhwwaT7538/HwkJCRY3Q+SVC4UMBJiY3yOQyTSb5KmgJGULDw8HGfOnEFSUhLc3d3h6+tr8ou3PE3SHMdhzJgxWLhwIerVq4eIiAjMnDkTISEh6N+/v3BcVFQUBgwYgAkTJgDQNUNv2bIFv/76Kzw8PIT+bF5eXmaDo65duyInJwfXrl0T+joOHjwYixYtQv/+/bF48WJUq1YNFy5cQEhICNq1a4dZs2ahb9++qFmzJl5//XWIRCJcunQJV69exYIFC6yqY1hYGDiOw+7du9G3b18oFAp4eHhgypQp+OCDD6DVatGhQwdkZWXh5MmT8PT0FPpMWqs8TdJ169bF/fv3sXXrVrRu3Rp79uzBzp07LZ4TGBgIhUKB/fv3IyQkBEql0mzgV55gu0ePHmjUqBHeeustLFu2DMnJyfj0008xfvx4IRP7xx9/YNiwYTh06BCqV6+OBw8eoEuXLggLC8Pnn3+Ox48fC9fTz0r+/vvvkMvlQh9S4liq3DyMhNgbY7ogUSLiIC78sqeAkVhjypQpEIvFaNSoEQICAnD//n273GfSpEmYMGEC3n33XbRu3Ro5OTnYv3+/QZNvQkIC0tLShN/Xrl2LrKwsdOnSBdWqVRN+tm3bZvY+fn5+GDBggMFkzTKZDLGxsQgMDETv3r3RtGlTLFmyBGKxbhnN6Oho7N69G7GxsWjdujXatm2LFStWlCpAq169OmbMmIGPP/4YQUFBQtA7f/58zJw5E4sXL0bDhg3Rs2dP7Nmzx6psqS3961//wgcffIAJEyagefPmOHXqFGbOnGnxHIlEglWrVmHdunWoUaMGhgwZYpeyicVi7N69G2KxGO3atcPQoUMxbNgwYeQ+oFti99atW0KGNS4uDnfv3sWhQ4dQo0YNg9eHvh9//BFDhgwR+qESx8IxRvN9lFZ2dja8vLzssni5SqXC3r170bt3b6dc87Iq1O+LLfuw9oYYDYI90LdZNXweexuDWodiyWvNSr6AA3CE5zA/Px+JiYmIiIgwGnRREq1Wi+zsbHh6ejrlOr3Pu36XL19G9+7dkZCQUGLfOluh57DySUtLQ/369XHu3DmrAvTy1NHS+9+e39/OzjFeaYQ4EP5PMIm4KMNIfRhJVdWsWTMsXboUiYmJFV0UUoGSkpLw9ddfP/dsLrEd6sNIiI3xXdL1p9XRUsBIqrARI0ZUdBFIBWvVqpVV0xWRyosyjITYGJ9hFIk4iEQ0SpoQQojjo4CREBvT8E3SNEqaEEKIk6CAkRAbEzKMHAcxBYyEEEKcAAWMhNgYPw+jbtALNUkTQghxfBQwEmJjWpMZRloakBBCiOOigJEQG9Oa6sNICUZCCCEOjAJGQmxMWEtaRBlGQgghzoECRkJsTFhLWq9JWk0pRlJFKZVK1KlTB6dOnaroopAKtH//fjRv3hxa+uPZYVHASIiNafVWeqFpdUhpdOnSBZMnT7b7fRhjmD17NqpVqwaFQoFu3brhzp07Vp+/ZMkScBxnVVljYmIQERGBl156qRwlLp2jR4/Cx8cHmZmZz+2e9paUlASO43Dx4kW73+v+/fvo06cPXF1dERgYiI8++ghqtdqqcwsKCtC8eXOjsvbs2RNSqdRgXXHiWChgJMTG9Ae9iDi+DyMFjKTyWLlyJVavXo2YmBicOXMGbm5uiI6ORn5+fonnnj17FuvWrUOzZiWvjc4Yw5o1azBq1ChbFPu5Y4xZHSg5C41Ggz59+kCpVOLUqVP47rvvsHHjRsyaNcuq86dOnYqQkBCT+0aMGIFVq1bZsrjkOaKAkRAbMxj0IqYMI7HOiBEjcOzYMaxcuRIcx4HjOCQlJdn8PowxxMTE4JNPPsErr7yCZs2a4fvvv8fDhw+xa9cui+fm5ORgyJAh+Pbbb+Hj41Pivc6fP4+EhAT06dPHYPs///yDwYMHw9fXF25ubmjVqhXOnDkj7P/111/RokULuLi4oFatWpg7d65B4MZxHNavX48BAwbA1dUVdevWxW+//QZAl4mLiooCAPj5+YHjOGFpQq1Wi8WLFyMiIgIKhQIvvPACfv75Z+G6R48eBcdx2LdvH1q2bAm5XI74+PgS61kW06ZNQ7169eDq6opatWph5syZUKlUZo/n12COjIyEWCxG37597VKu2NhYXL9+HZs2bULz5s3Rq1cvzJ8/H1999RWUSqXFc/ft24fY2Fh8/vnnJvf369cP586dQ0JCgj2KTuyMAkZCbEyrtzSgWKR7i1EfxorFGIM2N9f6n7y80h1v4YdZmV1euXIl2rVrh9GjR+PRo0d49OgRQkNDTR47ZswYuLu7W/wxJzExESkpKUJQBQBeXl5o06YNTp8+bbGM48ePR58+fdCtWzer6nTixAnUq1cPHh4ewracnBx07twZDx48wG+//YZLly5h6tSpQt+2EydOYNiwYZg0aRKuX7+OdevWYePGjVi4cKHBtefOnYs333wTly9fRu/evTFkyBCkp6cjNDQUP/30EwDgxo0bePToEVauXAkAWLx4Mb7//nvExMTg2rVr+OCDDzB06FAcO3bM4NrTp0/HkiVLcOPGDbOZ1MaNG1t8/Hv16mXxsfHw8MDGjRtx/fp1rFy5Et9++y1WrFhh9vg//vgDAHDw4EE8ePAAP/zwg9ljS3ptjBkzxuy5p0+fRtOmTREUFCRsi46ORnZ2Nq5du2b2vJSUFIwePRo//PADXF1dTR5Ts2ZNBAUF4cSJE2avQyovSUUXgBBnI0zcLeIgLmyS1lKTdIVieXm41aJlqc5JsdG96/95HpyZL1B9Xl5ekMlkcHV1RXBwsMVj582bhylTppSpPMnJyQBgEBDwv/P7TNm6dSv+/PNPnD171up73bt3z6h5csuWLXj8+DHOnj0LX19fAECdOnWE/XPnzsX06dMxfPhwAECtWrUwf/58TJ06FbNnzxaOGzFiBAYPHgwAWLRoEVatWoU//vgDPXv2FK4bGBgo/L+goACLFi3CwYMH0a5dO+Ha8fHxWLduHTp37ixce968eejevbvFuu3du9diRlChUFg8/9NPPxX+Hx4ejilTpmDr1q2YOnWqyeMDAgIA6LKmwcHByM7ONnvtkvo5enp6mt2XnJxs8rXB7zOFMYYRI0ZgzJgxaNWqlcXMeEhICO7du2exfKRyooCREBszNa0OrfRCbCkwMBCBgYHP7X5///03Jk2ahLi4OLi4uFh9Xl5entHxFy9eRGRkpBDIFXfp0iWcPHnSIKOo0WiQn5+P3NxcIXuln/lzc3ODp6cnUlNTzZbl7t27yM3NNQoElUolIiMjDba1atWqxLqFhYWVeIwl27Ztw6pVq5CQkICcnByo1WqLgVxp6Afgz8Pq1avx9OlTzJgxo8RjFQoFcnNzn0OpiK1RwEiIjekPeqE+jJUDp1Cg/p/nrTpWq9Ui++lTeHp4QCQqf68droRMU1mMGTMGmzZtsnhMTk6Oye189jIlJQXVq1cXtqekpKB58+Ymzzl//jxSU1PRokULYZtGo8Hx48exZs0aFBQUQCwWG53n7++PK1euGGwrKfOWk5ODuXPn4tVXXzXapx98SqVSg30cx1mcsoV/PPbs2WNQbwCQy+UGv7u5uVksI6BrkraUKevYsSP27dtnct/p06cxZMgQzJ07F9HR0fDy8sLWrVuxfPnyEu9rDUtdEgBg6NChiImJMbkvODhYaP7mpaSkCPtMOXz4ME6fPm30OLZq1QpDhgzBd999J2xLT08XsqXEsVDASIiNaZkuSJSI9EZJU8BYoTiOs6pZGACg1UKkVkPk6mqTgLE0ZDIZNBpNiceVp0k6IiICQUFBOHz4sBAAZmdn48yZMxg7dqzJc6KioowCv5EjR6JBgwaYNm2ayWAR0A3QWLt2LRhj4ArfC82aNcP69euRnp5uMsvYokUL3Lp1q1xZMplMBgAGj2WjRo0gl8tx//59g+bnsipPk/SpU6cQFhaGTz75RNhWUjOtqTqZU54m6Xbt2mHhwoVITU0VsthxcXHw9PREo0aNTJ6zatUqLFiwQPj94cOHiI6OxrZt29CmTRthe35+PhISEowyusQxUMBIiI0JE3eLaB5GUjrh4eE4c+YMkpKS4O7uDl9fX5NBa3mapDmOw5gxY7Bw4ULUq1cPERERmDlzJkJCQtC/f3/huKioKAwYMAATJkyAh4cHmjRpYnAdNzc3+Pn5GW3X17VrV+Tk5ODatWvCcYMHD8aiRYvQv39/LF68GNWqVcOFCxcQEhKCdu3aYdasWejbty9q1qyJ119/HSKRCJcuXcLVq1cNghJLwsLCwHEcdu/ejb59+0KhUMDDwwNTpkzBBx98AK1Wiw4dOiArKwsnT56Ep6en0GfSWuVpkq5bty7u37+PrVu3onXr1tizZw927txp8ZzAwEAoFArs378fISEhUCqVZgO/8gTbPXr0QKNGjfDWW29h2bJlSE5Oxqefforx48cLGcQ//vgDw4YNw6FDh1C9enXUrFnT4Bp8hrN27dqoUaOGsP3333+HXC4X+pASx0KjpAmxMaY3rU5RH0Za3YCUbMqUKRCLxWjUqBECAgJw//59u9xn0qRJmDBhAt599120bt0aOTk52L9/v0GTb0JCAtLS0sp1Hz8/PwwYMMBgsmaZTIbY2FgEBgaid+/eaNq0KZYsWSJkKaOjo7F7927ExsaidevWaNu2LVasWFGqAK169eqYMWMGPv74YwQFBWHChAkAgPnz52PmzJlYvHgxGjZsiJ49e2LPnj3ClDXPy7/+9S988MEHmDBhApo3b45Tp05h5syZFs+RSCRYtWoV1q1bhxo1amDIkCF2KZtYLMbu3bshFovRrl07DB06FMOGDcO8efOEY3Jzc3Hr1i2LGVZTfvzxRwwZMsTsKGpSuXHM2jkfiCA7OxteXl7IysqyWSdlnkqlwt69e9G7d2+jPjrOoCrUb/TX+3H0kQjvda6F/s2ro9fKE/B3l+Hcp5ZHXToKR3gO8/PzkZiYiIiIiFIN0gAK+zBmZ8PT0/O5N0k/D8+7fpcvX0b37t2RkJBQYt86W6HnsPJJS0tD/fr1ce7cOasC9PLU0dL7357f387OMV5phDgQ/QwjNUmTqq5Zs2ZYunQpEhMTK7oopAIlJSXh66+/fu7ZXGI71IeREBsTptXhaFodQgAIK62QqqtVq1ZWTVdEKi/KMBJiY/qDXsSUYSSEEOIEKGAkxMa0Jga9UMBICCHEkVHASIiN6a8lLSnsrE0BIyGEEEdGASMhNmawljT1YSSEEOIEKGAkxMb0lwbkA0YA0FLQSAghxEFRwEiIjQmjpEWGASNlGQkhhDgqChgJsTGtiXkYAerHSAghxHFRwEiIjekPetHPMGpoUSVSRXXq1Albtmyp6GKQCpSWlobAwED8888/FV0UUkYUMBJiY3xYKCkeMGooYCSWdenSBZMnT7b7fRhjmD17NqpVqwaFQoFu3brhzp07Fs/RaDSYOXMmIiIioFAoULt2bcyfPx8lrS7722+/ISUlBYMGDbJlFSxKSkqCj48PLl68+Nzu+TxwHIddu3bZ/T7p6ekYMmQIPD094e3tjVGjRiEnJ8fiOcnJyXjrrbcQHBwMNzc3tGjRAjt27BD2+/v7Y9iwYZg9e7a9i0/shAJGQmxMoz/ohdPvw6g1cwYhz9fKlSuxevVqxMTE4MyZM3Bzc0N0dDTy8/PNnrN06VKsXbsWa9aswY0bN7B06VIsW7YMq1evtnivVatWYeTIkQ6z5nFxKpWqoovw3A0ZMgTXrl1DXFwcdu/ejePHj+Pdd9+1eM6wYcNw69Yt/Pbbb7hy5QpeffVVvPnmm7hw4YJwzMiRI7F582akp6fbuwrEDhzzHUxIJSasJS3mIBJx4GNG6sNILBkxYgSOHTuGlStXguM4cByHpKQkm9+HMYaYmBh88skneOWVV9CsWTN8//33ePjwocXs1alTp/DKK6+gT58+CA8Px+uvv44ePXrgjz/+MHvO48ePcfjwYfTr189ge2ZmJt577z0EBQXBxcUFTZo0we7du4X98fHx6NixIxQKBUJDQzFx4kQ8e/ZM2B8eHo5Fixbh7bffhoeHB2rWrIlvvvlG2F+7dm0AQMuWLcFxHLp06SLsW79+PRo2bAgXFxc0aNAAX3/9tbAvKSkJHMdh27Zt6Ny5M1xcXLB58+YSH9Oy+OKLL9C0aVO4ubkhNDQU48aNs5jFCw8PBwAMGDAAYrEYzZo1s0u5bty4gf3792P9+vVo06YNOnTogNWrV2Pr1q14+PCh2fNOnTqF999/Hy+++CJq1aqFTz/9FN7e3jh//rxwTOPGjRESEoKdO3fapezEvihgJMTG9DOMAISBL9SHseIwxqAq0Fj9o1Zaf2xJPyU12fJWrlyJdu3aYfTo0Xj06BEePXqE0NBQk8eOGTMG7u7uFn/MSUxMREpKCqKiooRtXl5eaNOmDU6fPm32vJdeegmHDh3C7du3AQCXLl1CfHw8evXqZfac+Ph4uLq6omHDhsI2rVaLXr164eTJk9i0aROuX7+OJUuWQCwWAwASEhLQs2dPvPbaa7h8+TK2bduG+Ph4TJgwweDay5cvR6tWrXDhwgWMGzcOY8eOxa1btwAAv//+OwAgNjYWjx49wi+//AIA2Lx5M2bNmoWFCxfixo0bWLRoEWbOnInvvvvO4NrTp0/HpEmTcOPGDURHR5usW69evSw+/o0bNzb7uACASCTCqlWrcO3aNXz33Xc4fPgwpk6davb4s2fPAgA2bNiABw8e4PDhw2aPbdy4scWyWXrOTp8+DW9vb4N1n7t16waRSIQzZ86YPe+ll17Ctm3bkJ6eDq1Wi61btyI/P98gWAeAF198ESdOnDB7HVJ5SSq6AIQ4GwZdgMj3XxSLOKg0DGrqw1hh1Eotvpl0rELu/e7KzpDKxSUe5+XlBZlMBldXVwQHB1s8dt68eZgyZUqZypOcnAwACAoKMtgeFBQk7DNl+vTpyM7ORoMGDSAWi6HRaLBw4UIMGTLE7Dn37t1DUFCQQXP0wYMH8ccff+DGjRuoV68eAKBWrVrC/sWLF2PIkCFCX866deti1apV6Ny5M9auXQsXFxcAQO/evTFu3DgAwLRp07BixQocOXIE9evXR0BAAADAz8/P4LGcPXs2li9fjldffRUAEBERgevXr2PdunUYPny4cNzkyZOFY8xZv3498vLyzO6XSqUWz9fvqxoeHo4FCxZgzJgxBhlPfXydvL29ERwcjOzsbLPX3rt3r8WmdIVCYXZfcnIyAgMDDbZJJBL4+vpafH1s374dAwcOhJ+fHyQSCVxdXbFz507UqVPH4LiQkBCDZmriOChgJMTGNHrT6gAQ+jFSkzSxlcDAQKMvdXvbvn07Nm/ejC1btqBx48a4ePEiJk+ejJCQEINgS19eXp4Q4PEuXryIGjVqCMFicZcuXcLly5cNmoIZY9BqtUhMTBSylfpNshzHITg4GKmpqWbL/+zZMyQkJGDUqFEYPXq0sF2tVsPLy8vgWP3smjnVq1cv8RhLDh48iMWLF+PmzZvIzs6GWq1Gfn4+cnNz4erqWq5rh4WFlev8spg5cyYyMzNx8OBB+Pv7Y9euXXjzzTdx4sQJNG3aVDhOoVAgNzf3uZePlB8FjITYGCvWJC2mJukKJ5GJ8O7KzlYdq9Vq8fRpNjw8PG0yUEMis33PnzFjxmDTpk0WjzHXH47PuKWkpBgEPSkpKWjevLnZ63300UeYPn26MNq5adOmuHfvHhYvXmw2YPT390dGRobBNkvZLb7c7733HiZOnGi0r2bNmsL/i2fwOI6D1sLAMv7x+Pbbb9GmTRuDfXxzOM/Nzc1iGQFdk7SlptWwsDBcu3bN5L6kpCT07dsXY8eOxcKFC+Hr64v4+HiMGjUKSqWy3AFj48aNce/ePbP7O3bsiH379pncZyrwVqvVSE9PN5v5TkhIwJo1a3D16lWhKf6FF17AiRMn8NVXXyEmJkY4Nj09XciWEsdCASMhNqbVG/Si+1cXMFCTdMXhOM6qZmEA0Go5SArEkMrFz31kr0wmg0ajKfG48jRJR0REICgoCIcPH0aLFi0AANnZ2Thz5gzGjh1r9rzc3Fyjx0MsFlsM0iIjI5GcnIyMjAz4+PgA0GUG//nnH9y+fdtklrFFixa4fv26UVNmachkMgAweCyDgoIQEhKCv/76y2IzurXK0yR9/vx5aLVaLF++XHhMt2/fXuI9pVKpVa+P8jRJt2vXDpmZmTh//jxatmwJADh8+DC0Wq1RoM3jM4bWvD6uXr1q1K+ROAYKGAmxMf7jkc8wiqhJmlgpPDwcZ86cQVJSEtzd3eHr62syaC1PkzTHcRgzZgwWLlyIevXqISIiAjNnzkRISAj69+8vHBcVFYUBAwYIg0369euHhQsXombNmmjcuDEuXLiAL774Am+//bbZe0VGRsLf3x8nT55E3759AQCdO3dGp06d8Nprr+GLL75AnTp1cPPmTXAch549e2LatGlo27YtJkyYgHfeeQdubm64fv064uLisGbNGqvqGBgYCIVCgQMHDqBmzZpwcXGBl5cX5s6di4kTJ8LLyws9e/ZEQUEBzp07h4yMDHz44YelehzL0yRdp04dqFQqrF69Gv369cPJkycNsnDmhIeH49ChQ2jXrh2USiU8PT1NHleeJumGDRuiZ8+eGD16NGJiYqBSqTBhwgQMGjQIISEhAIAHDx4gKioK33//PV588UU0aNAAderUwXvvvYfPP/8cfn5+2LVrlzAtDy83Nxfnz5/HokWLylw+UnFolDQhNla0NKDu7VWYYISWmqRJCaZMmQKxWIxGjRohICAA9+/ft8t9Jk2ahAkTJuDdd99F69atkZOTg/379xv0N0xISEBaWprw++rVq/H6669j3LhxaNiwIaZMmYL33nsP8+fPN3sfsVgszL2nb8eOHWjdujUGDx6MRo0aYerUqULmrFmzZjh27Bhu376Njh07IjIyErNmzRKCFWtIJBIsWbIE33zzDUJCQvDKK68AAN555x2sX78eGzZsQNOmTdG5c2ds3LgRERERVl/bFl544QV88cUXWLp0KZo0aYLNmzdj8eLFJZ63fPlyxMXFISwsDJ06dbJb+TZv3owGDRogKioKvXv3RocOHQymLVKpVLh165aQWZRKpdi7dy8CAgLQr18/Yaqm7777Dr179xbO+/XXX1GzZk107NjRbmUn9sMxa+d8IILs7Gx4eXkhKyvL7F94ZaVSqbB371707t27xFF2jqgq1K/jogNIzuOwZXQbvFTbH+2XHMaDzDz8Or49Xgj1rugilpsjPIf5+flITExERESE0aCLkmi1WmRnZ8PT0zZ9GCub512/5ORkNG7cGH/++edzG4xBz2Hl1LZtW0ycOBH//ve/Szy2PHW09P635/e3s3OcVxohDoLPMPKjo/nPOjU1SZMqKDg4GP/3f/9nt2wpcQxpaWl49dVXMXjw4IouCikj6sNIiI0ZDXopjBipSZpUVfp9I0nV5O/vb3FiclL5UYaREBszHvSi+51GSRNCCHFUFDASYmPGg164wu0UMBJCCHFMFDASYmN8wMj3XRQX/of6MD5/NKaPkKqH3vf2QQEjITbGN0kLGUaOYbLkZ9S89GXRMjDErvjR27QEGSFVj/50P8R2aNALITYmjJIu/HOsifYmJkt+Aa4B6PRvIKhxhZWtqhCLxfD29haWOHN1dQVX2Ke0JFqtFkqlEvn5+Q41ZYm1nL1+gPPX0dnrB5Stjowx5ObmIjU1Fd7e3kZLPpLyoYCREBsrvpZ0XfWdop2PLlHA+Jzw694WXxe3JIwx5OXlQaFQWB1kOhJnrx/g/HV09voB5aujt7e32XWvSdlRwEiIjWmKDXrxZ+lFOzOSnn+BqiiO41CtWjUEBgZaXFe3OJVKhePHj6NTp05O2aTl7PUDnL+Ozl4/oOx1lEqllFm0EwoYCbExVmzQi7c2s2jnszSj44l9icXiUn2BiMViqNVquLi4OOWXsbPXD3D+Ojp7/YCqUUdH45ydHwipQMUHvRgEjHnpRscTQgghlR0FjITYWPFpdTy1WUU7cylgJIQQ4ngoYCTEhrRaBgbDJQG9tBlFB1CGkRBCiAOigJEQG9LozbMoLhzZ56rNKTogN6P4KYQQQkilVyUDxgcPHmDo0KHw8/ODQqFA06ZNce7cuYouFnECWr3VXEQiAFoNXFh+0QGUYSSEEOKAqtwo6YyMDLRv3x5du3bFvn37EBAQgDt37sDHx6eii0acgH6GUSISAcocwwNUuYBWA4ho2gdCCCGOo8oFjEuXLkVoaCg2bNggbIuIiKjAEhFnoimeYczLMT5ImQO4eD2/QhFCCCHlVOUCxt9++w3R0dF44403cOzYMVSvXh3jxo3D6NGjzZ5TUFCAgoIC4ffs7GwAuolFSzMhsDX469n6upWFs9cvX1lUL6bRQPUsA1IAmcwNHqJ8iJkGqmdZgNi14gpZTs7+HFL9HJ+z19HZ6wfYr47O/JjZG8eYXhtaFeDi4gIA+PDDD/HGG2/g7NmzmDRpEmJiYjB8+HCT58yZMwdz58412r5lyxa4ujruFz+xvacq4NNzur/Dvmyrhm9uAjrdnot/mD98RblwZbk41HApclyqVXBJCSGk6snNzcW///1vZGVlwdPTs6KL41CqXMAok8nQqlUrnDp1Stg2ceJEnD17FqdPnzZ5jqkMY2hoKNLS0mz+glOpVIiLi0P37t2dcnZ7Z6/fw/QcdF5xCiIOuDWvB7jEY5BseQ03tKGo4VIAD2UqVG8fBKo1r+iilpmzP4dUP8fn7HV09voB9qtjdnY2/P39KWAsgyrXJF2tWjU0atTIYFvDhg2xY8cOs+fI5XLI5XKj7VKp1G5vVnteuzJw1vpxYt1bSizidPVT5wIAnkEBVeE+qSYfcIK6O+tzyKP6OT5nr6Oz1w+wfR2d/fGypyoXMLZv3x63bt0y2Hb79m2EhYVVUImIM+EHvYhFujkYoXwGAMhlcigLA0Z+GyGEEOIoqtw8jB988AF+//13LFq0CHfv3sWWLVvwzTffYPz48RVdNOIE+Gl1hIBRpcsw5sIFSpFCt634VDuEEEJIJVflAsbWrVtj586d+PHHH9GkSRPMnz8fX375JYYMGVLRRSNOQKMpDBg5PmDMAwDkQ4oCfmQ0ZRgJIYQ4mCrXJA0Affv2Rd++fSu6GMQJGWUY1YUBI5NByRX2naGAkRBCiIOpkgEjIfZi1IdRpVsWMA9yqLjCt1thEEkIIYQ4CgoYCbEhIWAs1iRdAL0Mo7rA1KmEEEJIpVXl+jASYk9GGUZ1UR9GJVc4NZOKMoyEEEIcCwWMhNgQ34dRVLxJmsmh5GS6ber8iigaIYQQUmYUMBJiQ9rCDKOk2LQ6+ZBBicKAkTKMhBBCHAwFjITYkLowYBTxfRgLs4n5kFGGkRBCiMOigJEQG9Ky4hlGXTYxj8lQwFGGkRBCiGOigJEQGxIyjCLjUdIFfJM0jZImhBDiYChgJMSGtMIo6cINhaOk86CXYaQmaUIIIQ6GAkZCbEhtZuLufCZDAaMmaUIIIY6JAkZCbEir1f1rvJa0DPmgDCMhhBDHRCu9EGJD5taSzoMcBShc6YUyjIQQQhwMZRgJsSFza0nnQ4p8xi8NSBlGQgghjoUyjITYkEHAyFjRxN1MhnzKMBJCCHFQFDASYkNCwMhxgEYJQPd7AWR6GUaaVocQQohjoSZpQmzIYC1pvabnfMiQx2cY1Xm67CMhhBDiIChgJMSGDNaS1qiE7SqIkcdPq8O0BvsIIYSQyo4CRkJsyGAt6cKmZ61ICgZRUZM0IIyeJoQQQhwBBYyE2JDBWtIaPmDUZRbztRIAhqOnCSGEEEdAASMhNmSwlnRhszMT6TKLGgZAItcdqKGBL4QQQhwHBYyE2JBWf5Q03yQt1mUYtYwB4sKAUa2skPIRQgghZUEBIyE2JKwlLean1QFYYZO0WssASeHAF8owEkIIcSAUMBJiQ6YyjEwsLdon5teTpoCREEKI46CAkRAb0hROrygW6WUYxXoZRj5g1FCTNCGEEMdBASMhNqTRagEAYhGKgsLCfosaLSsa9EIZRkIIIQ6EAkZCbEijixchFon0mqT1B73wGUaauJsQQojjoICREBsqWksaehlG/UEvNK0OIYQQx0MBIyE2xK8lbaoPo27QCzVJE0IIcTwUMBJiQ0KGUVQ0SprPKhpOq0ODXgghhDgOChgJsSGN/rQ6fD9FyjASQghxcBQwEmJDWoMmaV1QyBUGjBpGGUZCCCGOiQJGQmzIYC1pU03SNHE3IYQQB0QBIyE2xK/0ItEb9MKZapKmUdKEEEIcCAWMhNiQkGHkigJGvhnacNALzcNICCHEcVDASIgNaQ1GSRdmGPm5F1E0xQ41SRNCCHEkFDASYkNqrYlBL3oBo1ZEg14IIYQ4HklFF6A0EhMTceLECdy7dw+5ubkICAhAZGQk2rVrBxcXl4ouHiHFRknzGUaZsJ8yjIQQQhyRQwSMmzdvxsqVK3Hu3DkEBQUhJCQECoUC6enpSEhIgIuLC4YMGYJp06YhLCysootLqjCNiSZpkckMIwWMhBBCHEelDxgjIyMhk8kwYsQI7NixA6GhoQb7CwoKcPr0aWzduhWtWrXC119/jTfeeKOCSkuqOsOJuwubpKVF2W8NHzCqqUmaEEKI46j0AeOSJUsQHR1tdr9cLkeXLl3QpUsXLFy4EElJSc+vcIQUY7iWtG4ktEi/SVokLTyQMoyEEEIcR6UPGC0Fi8X5+fnBz8/PjqUhxLKiJmkI/RT1+zBShpEQQogjcqhR0mKxGKmpqUbbnzx5ArFYXAElIsSQRqv716BJWuKiyzgC0IpplDQhhBDH41ABIyts7iuuoKAAMpnM5D5CnieDUdJ8FlEs1QWQALQcDXohhBDieCp9kzQArFq1CgDAcRzWr18Pd3d3YZ9Go8Hx48fRoEGDiioeIQLDeRj5gFGua6LWABq+DyM1SRNCCHEgDhEwrlixAoAuwxgTE2PQ/CyTyRAeHo6YmJiKKh4hAq2pgFEig1ikGwCjoWl1CCGEOCCHCBgTExMBAF27dsUvv/wCHx+fCi4RIaap9afV4SfnFssh4nQBo5qjDCMhhBDH4xABI+/IkSMVXQRCLBL6MIr1m6RlkIh13YVp4m5CCCGOyKEGvVgyb948nDhxoqKLQao4tUZ/4u6iJmlR4aAXNfVhJIQQ4oCcJmDcsGEDoqOj0a9fv4ouCqnC+AyjSGTYJC0pnFZHw9HE3YQQQhyPQzVJW5KYmIi8vDxqtiYVip+4W6K30gvEUmEexqI+jLqAMT0/Hd5yb4g4p/nbjRBCiBNyqm8phUKB3r17V3QxSBXGB4wivYm7IZELAaNKmIdRhR9v/ojO2zpj+onpFVFUQgghxGoOFTDOmTMHWq3WaHtWVhYGDx5cASUixBC/lrSEQ7F5GA2bpJmmAOsvrwcA7Evch0c5j557WQkhhBBrOVTA+H//93/o0KED/vrrL2Hb0aNH0bRpUyQkJFRgyQjREdaShqpoo1iKwngRKugCxn9EDKl5RctcXnp86bmVkRBCCCkthwoYL1++jBo1aqB58+b49ttv8dFHH6FHjx546623cOrUqYouHiFFfRiZumijRA6JSPdW41d6uV5sKcuraVefTwEJIYSQMnCoQS8+Pj7Yvn07Pv74Y7z33nuQSCTYt28foqKiKrpohADQDxj1M4wy3ahpFGUY70ulBuclZSc9l/IRQgghZeFQGUYAWL16NVauXInBgwejVq1amDhxIi5douY8UjkIfRhZYf9FTgyIxMK0OurCv9HuSXX/tghsAQB4kPPgOZeUEEIIsZ5DBYw9e/bE3Llz8d1332Hz5s24cOECOnXqhLZt22LZsmUVXTxCwI/JEpqkJXIAEDKMGgZALMM/El3A2LZaWwC6gJEVBpuEEEJIZeNQAaNGo8Hly5fx+uuvA9BNo7N27Vr8/PPPWLFiRQWXjhC9taRZ0bKAACDm9PaL5UiTiAEALwS+AADIU+choyDj+RaWEEIIsZJDBYxxcXEICQkx2t6nTx9cuXKlAkpEiCEtK9aHsTDDyA960TIGSGR4LNYFjCFuIfCWewMAnuQ9eb6FJYQQQqxU6QNGa5vp/P397VwSQkomZBi1/CovugxjYbwIjZYhVyxHbuGGANcA+Ln4AQCe5FPASAghpHKq9AFj48aNsXXrViiVSovH3blzB2PHjsWSJUueU8kIMablV3phhgGjMK2OluGxTDdCWiGWw03qBn+F7o+dtLy051xaQgghxDqVflqd1atXY9q0aRg3bhy6d++OVq1aISQkBC4uLsjIyMD169cRHx+Pa9euYcKECRg7dmxFF5lUYXyGUaIt/AOn+KAXLcNjiRSAEgFSTwCAr8IXADVJE0IIqbwqfcAYFRWFc+fOIT4+Htu2bcPmzZtx79495OXlwd/fH5GRkRg2bBiGDBkCHx+fii4uqcL47CIAiLSFo6TFumyiRC9g5Ae8+Ms8dP8WZhgpYCSEEFJZVfqAkdehQwd06NChootBiFkavf62RaOkCzOMHCcc80SkCxj9JG66f6kPIyGEkErOYQJGAJg3b57F/bNmzSr1NZcsWYIZM2Zg0qRJ+PLLL8tYMkKKVnkBAFGxJmmx3qCXp4X9Gb3FLgAAP4UuYKQ+jIQQQiorhwoYd+7cafC7SqVCYmIiJBIJateuXeqA8ezZs1i3bh2aNWtmy2KSKko/YCwaJc03SRcNeskqDB69RLoBMT5yXVeKrIKs51RSQgghpHQcKmC8cOGC0bbs7GyMGDECAwYMKNW1cnJyMGTIEHz77bdYsGCBrYpIqjC1QYaRDxiNB71kcQAY4CXSBZOect3gFwoYCSGEVFYOFTCa4unpiblz56Jfv3546623rD5v/Pjx6NOnD7p161ZiwFhQUICCggLh9+zsbAC6DKdKpSpbwc3gr2fr61YWzly/Ar2pn5gqDwCgFUmhUakggi6YVKrVyCr8vwcTQ6VSwVXkCgDIVmY7xOPizM8hQPVzBs5eR2evH2C/OjrzY2ZvDh8wAkBWVhaysqzPzmzduhV//vknzp49a9Xxixcvxty5c422x8bGwtXV1er7lkZcXJxdrltZOGP9spUA/5a6c+MqmgJ4kJKGP/fuxaOHIgAiXL9+A4/l+YAEyPr7Ifbu3Yun2qcAgKfKp9i9ZzdEXKWfHhWAcz6H+qh+js/Z6+js9QNsX8fc3FybXq8qcaiAcdWqVQa/M8bw6NEj/PDDD+jVq5dV1/j7778xadIkxMXFwcXFxapzZsyYgQ8//FD4PTs7G6GhoejRowc8PT2tr4AVVCoV4uLi0L17d0ilUpteuzJw5vqlZOcD549DBIb6dSKAh0D10HAE9+6NEzuv4Y/HD1CnXn389VAMMBWahIYj8uXeUGqUWLptKRgYOnXvBE+ZbV9TtubMzyFA9XMGzl5HZ68fYL868i2EpPQcKmBcsWKFwe8ikQgBAQEYPnw4ZsyYYdU1zp8/j9TUVLRo0ULYptFocPz4caxZswYFBQUQF67zy5PL5ZDL5UbXkkqldnuz2vPalYEz1k8k1s29KOIAMSv8v8wFIqkU0sK5F8GJkA0NAMBXJBUeB4VEgTx1HnK1ufCT+lVI+UvLGZ9DfVQ/x+fsdXT2+gG2r6OzP1725FABY2JiYrmvERUVhStXrhhsGzlyJBo0aIBp06YZBYuEWIsfJS3iAGgM52Hkp9VRazTIKlw20EvvXA+ZB/LUechW0l+/hBBCKh+HChhtwcPDA02aNDHY5ubmBj8/P6PthJQGP0pabBAwGk6rk6/JhbbweM+iQdXwknshNTeVRkoTQgiplByjdz0hDkCj1YWCBhlGieFKL3mFA1wUWi3kGo1wLt9vkTKMhBBCKqMql2E05ejRoxVdBOIE+AwjxwGcunAapsImaYm4MGBU5wAAPLVaQFM0VZMQMBZQwEgIIaTyoQwjITai1hQ2SQNGTdJChlGjyzB6abSAumjeRi+5rkcjZRgJIYRURhQwEmIjWmZi0EuxtaQLtM8AAO5MW3QMKMNICCGkcqOAkRAbUZscJa1bL1pcOOhFqdVNGuuuZSabpLOUNOiFEEJI5UMBIyE2otEfJc33YeQzjIVN0kqtbslAN61hkzS/nvRT5dPnVFpCCCHEehQwEmIjfB9GEQdAW7heaWGGkR/0YhAw6jVJu0vdAQDPVM+eU2kJIYQQ61HASIiNaPRGSQsZxsKAkR/0omKFASNjBgGjm9QNAJCjynlOpSWEEEKsRwEjITaiYSYm7i5skpaIigWMWm1RUAm9DKOSMoyEEEIqHwoYCbERYeJuAJyGb5IunFanMGBUCwFjsQyjjDKMhBBCKi8KGAmxEYM+jBrDibsLuzAaZhipDyMhhBAHQQEjITZiOEq62DyMhRMxqvX7MOo1SfN9GJ+pnkHLtCCEEEIqEwoYCbGRoqUB9eZYLGyS5qfV0SAfAJ9hVAnn8hlGBoY8dd7zKjIhhBBiFQoYCbERjcHE3XwfRsNBL2rGB4yGE3fLxXJION3S7jlK6sdICCGkcqGAkRAbMWiS1hhO3M0PetHA9ChpjuOEgS/Uj5EQQkhlQwEjITZikGFUF18aUPerlm+SLraWNFDULE0jpQkhhFQ2koouACHOQlhLWn9SboO1pLXQcrrtbloGwDBgpMm7CSGEVFaUYSTERvh5GGWcBhx0wSMkhQEjxwEivVHRWi2gVQPaohHRNLUOIYSQyooCRkJshM8wyjh10UZ+HkYRB64wYJSKpJDx+zXGU+vQoBdCCCGVDQWMhNiIxmTAyDdJFwWMblJXvZNo8m5CCCGVHwWMhNgIHzDKUTilDicCxLpuwhJRUZO0W2FgCKBocAwAdxkNeiGEEFI5UcBIiI3wTdJyPsNY2BwN6KbV4cR8wOgGiHQTeus3SVOGkRBCSGVFASMhNiI0SfMZRrHQUxFijgMnKpxSR+omzM+o3yRNo6QJIYRUVhQwEmIjfIZRCo1ug0QvYDRoknYrCiZNNEk/U1KGkRBCSOVCASMhNsJPqyP0YdRrkjYc9KIXMJoaJU0ZRkIIIZUMBYyE2IimcEpFKd+HsViG0SBg5Pfxa06DVnohhBBSeVHASIiNCBN3gx/0YqlJujD7qLeetGvhdDumBr3kXbmCv/r1w/13RkP95Ik9ik8IIYSYRQEjITaiLnHQi3VN0sUDRqZS4cEHH6Lgzl08i49HyuIl9qoCIYQQYhIFjITYSNEoab5JulgfRn5aHYlek7S65Im7c07EQ/XPP8Lv2fv2UZaREELIc0UBIyE2UjRK2vSgF6FJWqbXJG1iWp3iAePTQwcBAD5Dh8KlaVNAo8HTw4ftUgdCCCHEFAoYCbERbfEmaXODXiRugJifuLsoYOT7MKq0KigLtzPGkHP8OADAI+pluHfsAADI/eOs/SpCCCGEFEMBIyE2oi7eJG1mWh13mXtRc7XeoBc3iZvwfz7LqHrwEJrHaYBEAkVkJFxffBEAkHvmDBhjdqsLIYQQoo8CRkJsRFO8SVovw6i/lrSrxNVkk7RYJIZCogBQFDDmX74EAHCpXx8iFxcomjcHxGKoU1OhTk21Z3UIIYQQAQWMhNhIUR9GM2tJG4ySNm6SFvahKGDMu3wFAKB4oZnuOi4ukNeKAADk37hhh1oQQgghxihgJMRG+HkYTWUY9deSdpeabpIGjAPGgrt3AQDyBg2EY+QNGur23bxl4xoQQgghplHASIiNqDWFGUZmPEqa4xg4sS6b6Cp11ZuH0TDD6CoxnLy7ICEBACCvXVs4xqVBfQBA/s2bNq4BIYQQYhoFjITYiJYVa5LWm4dRpc0X/q8Qmw8Y3WVFczFqnz2D+tEjAICsVi3hGFlh8KhMTLRtBQghhBAzKGAkxEaEPozMeKWXfE0uAIAxESQimfkmaUlRk3TBX7qAUOznB4mPj3CMPDwcAKC8fx+ssBmcEEIIsScKGAmxEX6UtMREhjFfqwsYoZVDy6CXYVQZXEN/PemChML+i3rN0QAgrV4dkEjA8vJopDQhhJDnggJGQmxE6MNoYi3pfLWuTyLTynWBpYm1pAHD5QGVSUkAAFlEhMExnFQKWfXqACAcQwghhNgTBYyE2IiQYWQmMoyaPAAA08h1TdfCWtLmR0mr/nkAAJCF1jC6l4xvlk66Z7PyE0IIIeZQwEiIjWgY3yRtPEo6T63XJK1lJifuBoqapHNUOVD98w8AQFrDVMAYBoAyjIQQQp4PChgJsRG1hQxjrjoHQGGTNGPmR0kXNknnqnKhfFAYMFY3DhilNUIBAKrCYwghhBB7ooCREBvhJ+42HTAWjpLWuuiaroUmadMrveTnZuvWkAYgrVHd6F7S6iEAdGtNE0IIIfZGASMhNsIPepGYGPTCT8QNraxw0AvfJG3Yh5FvkhanpAMARG5uEHt7G91LGlIYMD6kgJEQQoj9UcBIiI1YGvTCB4zGo6RNN0krHmcD0E2hw3Gc0b34gFGTmQltbq7tKkEIIYSYQAEjITZSFDAWBoFiUwGjdU3Sro91fR5NDXgBALGnJ0TuuuBSVbgaDCGEEGIvFDASYiP8KGmxkGE00STNT6tjpkmaDxg90nTT8Jjqv8ijZmlCCCHPCwWMhNhIUR/GwoDRZIZRrltzWizV7Si20gsfMHpm6gJJPig0RQgYaeALIYQQO6OAkRAb4Zukxfxa0iYyjEIfRnNrSRcGjN7ZGgCANDjY7P0ow0gIIeR5oYCREBtRa4s1SetlGHNV/LQ6cqtGSfs+1f0uCQwyez9hah0KGAkhhNgZBYyE2Ag/D2NRhrEoYMxR6QaxQFtsacBiTdJSkRQuIpkQMEqDAs3eT1qtGgBAlUyDXgghhNgXBYyE2IjGKMNouklardEW7SvWJA0AQUpXSLQAOA6SgACz95ME6bKP6pRUG5SeEEIIMY8CRkJsRBcwMr1R0qabpFUa8/MwAkC1PN0+5uMJTiYz2s8rChhTwApHaBNCCCH2QAEjITai1jLI+BHSgBAUMsbwTM1Pq+MCtVZrdtALAAQ+k+gO9fOyeD8++8iUSmizsspZekIIIcQ8ChgJsRGNlkEGvT6JhUFhnjoPWqbr36hrktbLMGpVQLHsoP9T3dtS6edp8X4iuVxYNlBFzdKEEELsiAJGQmyAMWYiw6gLGHPVhUv3MQ5gUqj0+zACRs3SfoXjYwp83Eq8r9AsnZpS9sITQgghJaCAkRAbKBzvAnlhhpGJJIBI9/bKUeoiQBFcAHCFo6SL+jcWb5b2KpyDMdfHpcT7SgpHUatTKGAkhBBiPxQwEmIDKo2uyVnGGU+pw/dfFMOl6FiDDKPh1DqeWbqM41Nv8wNeeJJAXcCoooCREEKIHVHASIgNCAGjiWUB+RHSfMCo1jBAJAY4se6A4utJFy4LmO0pLfG+0kC+Sfpx2QtPCCGElIACRkJsgF9HWhj0opdB5JukxVDoji2c4NvcSGlFhi7AzPDgSryv/tQ6ZaXVMjzLLADT0tQ8hBBCTJNUdAEIcQaqwiBQbqJJml/lRcLxAWNhYCaWAioYNElrnz2DJFfXJP3Yo+QAju/DqCrjoJcHtzNwcMN15GQUwCfYFb3GNIVPcMmDbQghhFQtlGEkxAb4DKNCpBuwYmqVFykfMGr4gNF4PWl+epxcGZAtNp7UuzhpID/opfTT6mSm5GL3mkvIydDdPyM5F79+eRH5z1QlnEkIIaSqoYCREBvgg0BXkXEfRj5g5DOMfH/HoibposCQnx4n3UNv/WkL+CZpzZMnYMqSA0x9R7fcglqpRfV63nhrQTt4BSrwLLMAv//6V6muQwghxPlRwEiIDfBN0nyGkUmMM4wyU03SgME8jHxfxHQPTjjPErGPDyDVXUedlmZ1eR8lZOHBrQyIxBxeHtYQnv4KdB3aAABwI/4hnqbnW30tQgghzo8CRkJsgM8auggZRr1BL4WZQpnIFQCg5jOMfBZSXRSc8U3SGe56E35bwIlEkBYuEViaqXUuHbwPAKjfNhie/rpAtno9H1Sv5w2tluF6/EOrr0UIIcT5VcmAcfHixWjdujU8PDwQGBiI/v3749atWxVdLOLAhD6MXGHAKDFukpaJ+SbpwgyjtHBibr1R0urHuulx0j2KRleXRFLKfoz5z1RIvKLLRjbrWsNgX+NO1QEAN049gpYPbAkhhFR5VTJgPHbsGMaPH4/ff/8dcXFxUKlU6NGjB549K7kJkBBT+AyjgjOeVocPGOV8hlGYVocPGIsyjOpUPsPIWZVhBPSXB7QuYPzrwmNo1Qy+IW7wr+FhsK/WCwFwcZPiWWYBHt7Nsup6hBBCnF+VnFZn//79Br9v3LgRgYGBOH/+PDp16lRBpSKOjO+X6CKMkjaeVkcIGPkMo8WAEchT50Gj1UAsElu8t5BhfGxdwHj7rK7put6LQUb7xFIRwl/wx81Tj5B48TFq1Pex6pqEEEKcW5XMMBaXlaXLpPj6+lZwSYijEvowmloaUKnLMLpIXAuP5ZukFYUn5wnHCk3S7rpJu/llBS2RBlm/PKAyT41HdzIBAHVaBpo8ptYL/gCAvy49BmM0mTchhJAqmmHUp9VqMXnyZLRv3x5NmjQxeUxBQQEKCor6mWVnZwMAVCoVVCrbzlnHX8/W160snLV++UpdfVwKV3rRiuTQFNZRGPRSOEpaqVZDpVJBLJJCBECjzIVWpQJjTMgw5nhKAGiQlZsFReF55nC+fgB0AWNJj2vS1TRotQxegQq4ektNHh9cxwNiqQg56QVITsyEf6i7wX5nfQ55VD/H5+x1dPb6AfarozM/ZvZW5QPG8ePH4+rVq4iPjzd7zOLFizF37lyj7bGxsXB1dbVLueLi4uxy3crC2ep3NYMDIAanfAoAuP8oFVf27gUAPHn6BADw+MFjAKH4K/Ee9u5NRGTKE9QEcPPqRdx9vBei3FzUKZxL8ZmbDEAe9h/ej0Cx6UwgT5H4F0IBZP6ViEuF9zQn44ocgAwaRRb2WjhW6q2A5rEEh349DY9apj9gne05LI7q5/icvY7OXj/A9nXMzbWubzgxVqUDxgkTJmD37t04fvw4atSoYfa4GTNm4MMPPxR+z87ORmhoKHr06AFPT0+blkmlUiEuLg7du3eHtHB+PWfirPWTXE8Bbl6Ct5wD8oHQWvUQ2r03AGDR9kWAGqgX0QDH7z1DtRo10Lt3E4j2HQbS49GgdjjqdeqNgjt38DcAkbc3PDy9kP3sAVq0a4Fm/s0s3luZmIj7366HS24uevfubfY4xhi2nP4DgBId+7RAaEPz/RMvuzzA7zv/gqe4Gnr1Nsy8O+tzyKP6OT5nr6Oz1w+wXx35FkJSelUyYGSM4f3338fOnTtx9OhRREREWDxeLpdDLpcbbZdKpXZ7s9rz2pWBs9WPcbruwHwfRpHMFWKpFFqmFUY7u8s9ADwDY5yu7jJddlqsVUIslaIgIwMAIA0IgJtMCjwDClhBiY+TKEQ3FQ579gyiAiXE7qbXgs56nIdnmUqIxBxCG/hBKjU/mKZmIz/8vvMvPErIhkgkhlhs3N3Z2Z7D4qh+js/Z6+js9QNsX0dnf7zsqUoOehk/fjw2bdqELVu2wMPDA8nJyUhOTkZeXl7JJxNiAj/y2YUrXLWlcEBLrqqo+cNVrOsLqNKaHiWtTtUNeJEEBsJNqgv6rFrtxd0NIjfd8ZZGSj+6mwkACAzzgFRmeeS1f3V3yN0kUBdo8Pje0xLLQAghxLlVyYBx7dq1yMrKQpcuXVCtWjXhZ9u2bRVdNOKg+FHSclYYMBYGg/yAFwkngUvhcoHCSi/8KGkhYNQFe6UNGPlzAMuTdz8sDBir1fEu8XqciEP1erom639uZlhVBkIIIc6ryjZJE2JL/DyMcugCRlYYMPIBn5vMDVKJLqsnTKvDT72jKgwYH+tnGJUG55dEEhgIZWJiCRlG3fRR1gSMgG6pwL8uPBYyk4QQQqquKplhJMTW+AyjDIZN0nzA5y51h0Skm1uxaKUXMxnGgIDSZxgL52I0t9pLbrYSmSm65vFqtb2suiZ/XHJiNpiW/sgihJCqjAJGQmyAzxoWNUnrsod8k7Sb1A3SwoEjaqO1pIs3SZc+YJQGWp68+1FCJgDAN8QNLm7Wdfr2re4GiVQEZZ4aGSk0FQUhhFRlFDASYgPq4hnG4k3SUjdIxLoMI5+NNB70ogsYpeXpw1g4cKa4Rwmla44GALFYhMBw3bRRyX/RutKEEFKVUcBIiA3wfRhlQoZR19ycoyzKMEpEIoNjhYBRla9b5YXvwxgQADdJaQNG3brQ5pqk+ZHOwRGlmzc0uJbu+BQKGAkhpEqjgJEQG+CzhlJWuIRkYXOzMAej1B3Swgyj8SjpPGgyM8EKl6wSBwTATVbWUdLGTdJaLcPj+7qAMSDMozTVQlBEUT9GQgghVRcFjITYAN8vUarVBYz8KGmDDGNhH0ajUdLqAqEpWezjA5FMJmQY9edxtKSoSTrVaBaAzJRcqAo0kMhE8Ak2Pam3OcG1dAFj+qNnKMhTl+pcQgghzoMCRkJsoCjDaNgkbdCH0dwoaVWewRyMAOAu003yzQ+aKYkkMAAAwFQqaDIzDfY9vqfLDgbU9ICosAzWcvWUwcPPBWBA6j3KMhJCSFVFASMhNsBnDSVawyZp/VHSRQFj8VHSBQb9FwHAVaJbNtDaJmmRTAaxj26i7eL9GFML+y8G1izbuueBYbrzaMUXQgipuihgJMQGdFlDppdh1AWDT5W6IMtT5ik0SQvT6gijpI0zjKUdJa1/rrmAsbT9F3mBheelUsBICCFVFgWMhNiASsMgh6poQ7GA0UPmAZnQh7HYtDqqfIM5GAHdIBmglAFjkPHAF61Gi7S/CzOMZQwYA2rqznt8n5qkCSGkqqKAkRAbUGu0cOHnYASEEdAGAaNE93ZTqouNktYUGCwLCACuUl2TdK46F1qmtaoM/LkqvQxj+qNcqFVayFzE8A50LUPNigLG7LR85D9TlXA0IYQQZ0QBIyE2oNYyIWDUQgyIdMu0Zyt1WTmTASM/ShqAOiVZt6mwDyPfJA1YP1JaamIuRn6gSkCYB7hSDnjhubhJ4emvy4by0/MQQgipWihgJMQGlBotXDhdwKgRFS29p9+HkQ8YCzTFRkmjKCvIL/EnF8sh4XRBZ+nnYiwKGB+Xc8ALTxj4QgEjIYRUSRQwEmID+k3SGpEMAMAYEzKMnjJPoQ+jUq3VzZUolgAiCRgD1GlPABQFfRzHlX3ybjMZxvLgm6Vpah1CCKmaKGAkxAaUaq0w6EVbGDAWaAqg0uq26TdJA/qTd7tAoxQBat2k2BI/P+EYD2lh30GldUGaMOilMGDUqLVIe6Cb1ofPEJYVH3BShpEQQqomChgJsQGlfoaR0zVJ883RIk4EV6kr5HoBo1JveUB1rm672M8PnEwmHOMl162yYm3AyDdnq588AVOrkf7wGbRqBrmrROiDWFYBoTTwhRBCqjIKGAmxAaXauA8jHzC6S90h4kRCkzQAFKg0uv9IXaHKFev+GxxscE1PmS4rmFWQZVUZxL6+gFgMaLVQP3kiNB8HhnmA48o24IXn4iaFZ4Cuz2Xa39atPkMIIcR5UMBIiA0UqIsyjHyTtH7/RQAQiThhtRchwyhzFwJGSbViAaPc0+A6JeHEYmGUtTo1VW/C7vI1R/P4eRzT7lPASAghVQ0FjITYgFKt3yRtGDB6yIoGnBhNrSNzhZrPMAaZzjBmF1g/0KRopHSKQYbRFoQJvP+mfoyEEFLVUMBIiA0UqLVw4/IBAGqx8bKAPOOA0a2oSbpYhpHvw5iltK5JGihaKSY/ORXpD3Sjq8s74IUXWJMyjIQQUlVRwEiIDSjVWriiAACgFhkvC8jj+zEWCKu9uAkZRklwNYNrliXDyE/enfb3U2i1DAoPKdx95CWcZR0+w/g0vQAaZfn6RBJCCHEsFDASYgMFag1cocswakS6AE3IMMpNZBg1ehnGPH7QS5DBNYWA0co+jEBRk/STVN2gmsAwz3IPeOHJXaXwCtQNfFFl0UcHIYRUJfSpT4gNFKi1cOX4DKOuD6OQYZSa78PIpAqzGUahSdrKUdJAUcCY/kw3UpvPCtoK37ytzBLb9LqEEEIqNwoYCbGBArW2KMNY2IfR5KAXsWHAqFFKwbQcwAHSwv6HvDJlGAsn787Q6ILNwHDb9F/k8QNolJRhJISQKoU+9QkpJ8ZYsT6MuiZpUwGjvFiGUZWjW/FF7C43mLQbKP20OgAgDQqCWixHjsQXgO1GSPP4AJQyjIQQUrVQwEhIOfHL/LlyfB9GCxnGYn0Y1U91/0q9DINFwHDibsaYVWWRVquGp+6hACeCm5cUbl62GfDCCwj1AMcB2gIRnmUV2PTahBBCKi8KGAkppwK1boBJ8QxjZn4mAMDXxVc4tngfRlW2bu5GqafE6Lp8H0aVVoV8Tb5VZRG5ueFZYH0AgH+A7bOAUrkY3sGuAIDH92h6HUIIqSooYCSknPjgr2jQiy5gzCjIAAB4y72FY4v3YVRn6gJBibvxSGZXiSvEnC7oK83UOk/96gAAfF2sCzJLK6CwmfvxfZrAmxBCqgoKGAkpJ35ORXeuaFodxpgwutnbxVs4ls8wFhQ2SasycwEAUlfjJmeO44qapUsxeXe2SwgAwIs9KU01rBZY0x0A8Jgm8CaEkCqDAkZCyknIMPJN0mIX5GvyUaDR/e4j9xGOlUnEBueo0nSZQ6mr2uS1+WZpazOM+c9UeAZdQOf59H6p6mEtf36JwHtPre5bSQghxLFRwEhIOfEZRrfCJmmNSC40R8tEMigkCuHY4k3SqpR0AIDUTWny2vxI6cyCTKvKwq8frchNBZfyd2mqYTW/EDeAYyjIVSM7zT7N3oQQQioXChgJKSc++FMUzsOoFsmFAM/bxdtgpRX9QS/avDyo03VNzTIX0yOO+QEz6fnpVpUl9V7hZOFP70P14EEpa2IdsVQEqae28H7W960khBDiuChgJKScdKOkmcHSgPwIaf3maEBvHkaNRgjoRFItRNwzk9fmA8aM/AyrypKapAvgPJ/eg+rhw1LVozRkXrqR4XyASgghxLlRwEhIOSnVWsihghiFI5/FCoMMoz79DKPyn38AAFI3DTj1M8BEf8DSZBgZY0jRCxg16enQ5uaWqU4lkXkWBoxJlGEkhJCqgAJGQsqpQK2FJ3SBGQNn2CStN6UOALhIdYNe8lVaqP7WBYwydzWgVQMa436MfIbSmgzj0yf5yM1SQiTm4MV0Aabq0aMy1akkMu/CJun7T6EpHPFNCCHEeVHASEg5/X97dx4dZX3vD/z9zD5JJpONJITsLAkIhCVCAb2IUqj1euAulNotYn/a8gtUS+11Oeea9ndPwdPTWrxKEfQc7M/Wiy09VGtVpFFAtMhmlEUCYUtIyEaWmWSSzGSe7/3jmUwyZBgymRmeZPJ+naZJZp5nns8XHPLOd3t6emVYJE9PntECSJobBsYYgxIYHU43XFeURSn6OLfnhQZvU5NkHnoP49XzynzIcdkWmDLSAAAuTy9muOniZBjMOvT2uHHtCrfXISKKdgyMRCFyumVY0BcYfVc1J5p85zCaPT2MXa5eOK8ocxj18Z47svQM3mvROyTdc/PAWO8JjOn5Vhiys5XaLl8OoiVDJ0lAWp6yvc7VqqHvEUlERKMTAyNRiLqdblikLuUbkxIYr3Urm2YPvC0gAJgH9jDWKD2MhmTPtjvdAQJj19B7GMdPtMKQmwsAcF66NPSGBCk9P97nukREFL0YGIlC5HD2ensYhaeHsbmrGQAwzjzO51jvkHRPb/+ilxSlpy5QYGzraYMsbjxX0NnVi2t1ytBw+i0KjGmewFh/vo0beBMRRTkGRqIQOVxu3zmMAJq7lcCYYk7xObYvMGrbWiEcDkCjgT4lQXmye/CK475FL27hDni3l/qL7YAA4lNMiLUavYGxJ4KBMTXHAo1GQme7E/Zr3MCbiCiaMTAShajL6faZwyiE6O9hjPHtYTTrdQAAa5Nn/mJmJjRxCcqTfnoY9Vo9LAYlhPYNc/vTNyycPlG5laAhNwcA0Ft3FXJ3ZMKczqD13iaQw9JERNGNgZEoRA6nG/GeOYzCGI8u0QWX7AJw4x7GpGvKdjfGvDzApIQ8f4ER6B/WbupqumENV8+1AQDGT0wAAGgTE6GJV4aMnZcjc09p5XpK7Ver2iJ2DSIiUh8DI1GIHAN7GE3xsAvl7ifxhngYtUafY/sWvYxrUe7CYsjPv2lgTI1JBQA0Ohr9Pu9yunH1gnJuZoEyhC1JUv88xsuXgm/UEGVMTgAA1J5ti9g1iIhIfQyMRCHqGrDoBcZ42GUlMF6/4AXo31Ynrb1BOXzizQNjWoyyp2JDZ4Pf5+ur2iH3CsQlGmFNNXsfN+Qow9LOS5HZWgcAJhQkQpKAtgYH7C2cx0hEFK0YGIlC5Bi4rY7R4u1hTIlJGXRs35B0hk0Jf0oPozJ0fMPAGOsJjA7/gfFKpbLlTmZBIiRJ8j7eN4/ReeFCMM0JitGsQ2quUn/Nlzff+oeIiEYnBkaiEHW53EiUlJAoYpLRISvb2/jrYYwx6GDq7UFaVxsAwDCEOYzeHsYbBcYzym0DMwt9Nwk3Tp4MAOg5ezaI1gQva2qSTx1ERBR9GBiJQuRwupEMz5Y35iTYZOXr61dIA4BJr0F2hzIXUUpMhC4xETAlKE92+Q9cfYHR3xzG7k4XGquVsJpZ6LtJuKmwEADQU1UF0dsbXKOC0BdUr5xpgZC5HyMRUTRiYCQKkcPpRpKkhEQRk4JW2dPjF5c56FhJklBoV1ZIS5OmKA/GeoKlo9nv6/ctevE3h7HmyxZAAInpMYhN8F1go8/MhCYmBsLphPPixeAbNkTp+VboDBp02V1oruV9pYmIohEDI1GIHN3dSECn8k1MsjcwZsRl+D1+sk3Zg1G+PjB2+t82p28OY0t3C1xul89zl75QQmbuzMHzJSWNBsYpyjW6KyM3LK3Vaby9m331EBFRdGFgJAqR1NUGjaQMxQpTgjcwToib4Pf4/DYlMPbkKnMMEesJe93tQK9z0PGJxkQYtUYICNR31nsfd7tlXD6pbOad5ycwAoCxsEC5VuWZIFsVnLwi5foXKm68VyQREY1eDIxEIRBCwOhUAqJsTEBbbyecUEKfvx5G0duLrBYlMNqy8pUHTQmARrkDjL9haUmSkGXJAgBctvdvkXO1qh09jl6Y4vRIy7f6rc9UoATG7i8jHBhnpkCSgOaaDtiudUX0WkREdOsxMBKFwOF0wyo8C15ik1HXqWzInWJOGbRpNwA4L16E3u2CQ2dEi1WZmwiNBohJVr6+wbB0tiUbAFBt679rS19vXu6MZGg0kt/zTNNnAAC6TpyAkOXgGhcEs8WA8ZMSAAAXKzgsTUQUbRgYiUJg63YhybOljhSb4g2ME2L9D0d3ffEFAOCCNQNt3QNWLt9kHmNOvLKnYrVdCYyyW0bVUWURzMTZqTesz1RYAMlkgtzeHtH9GIH+Yenzn/m/Iw0REY1eDIxEIbB39yJNUoakpbhU1NhrANx4wYvj6DEAwKmkPLQ6Bixg6ZvH2Om/dy4r3jMkbVOGpK+caUWX3QVTnB5ZtyX5PQcAJL0e5hlKL6Pjs8+G2KrhmTgnFZCUoXJbM4eliYiiCQMjUQjs3S5kSJ6QZ83C+fbzAIB8a77f4x3HPIExOQ/tXQMCY5yyEhq2Or/n5ViUHsa+QFp5WFn8MnluKrTawG9j85w5AICuzyoCNyZEliST917WZw7V3+RoIiIaTRgYiULQ5nAhQ1JWKsOaiYvtyn6HE60TBx3ramyEq7oaQpJwOikXbY4BK6ITlDmKaK/xe53seOX5Wnst7HYHLnymDF1PmZ9+0xrNs2cBABzHjg6lSSEpXDAeAFB56Co38SYiiiIMjEQhaO7o8QZGt2U8LtqUwJgfP7iHsfPjTwAA3TkT0Wkw+w5JW5UhZ7T5D4xpMWmwGq3oFb04WH4SvU4ZyRPikJYXf9MaY4qLAZ0OrsvVcF6+fNPjQ5E/exwMJi1szd2oPs17SxMRRQsGRqIQNHc4Md4TGKv1BvS4e6CDzu8ejB379wMAXMULAABtA4ek+3oY26qvPw2AsrXO1KSpkIQGlz5R7jk98+5MSJL/1dEDaePilNA4oIZI0Ru0mHqHMn/zs72RDadERHTrMDAShaDV7kAalEUvJ1yeO7xoM6DVaH2OEy4XOj/+GACgW3QHAKD9RkPSwv9Q7rTkaZh4bRZkmxamWD2m3J425DrjFi8GAHTs2zfkc4ar6O4saDQSaivb0HjZFvHrERFR5DEwEoVA03oeWknAqY3BF55NtbN0WYOO6zh4ELLdDm1yMqyziwAATfYeiL5waM0EIAEuxw231ilMmIrba74OQOld1Bm0fo/zpy8wdh45it7W1iGfNxyWJBMme8Lsp29GdisfIiK6NRgYiUJgblXu0dwRPwkVTRUAgExt5qDj2t96CwBg/ef7MCEpDgDQ6XTD1uXZi1FnBJLylK8bTvm9lqUqC9bucejS2THxzsSg6jTm58E4dSrgcsH29t+COnc4iu/LhUYrofp0i/f2hURENHoxMBKFIN5eBQBoSpmIytZKSJCQr/Nd8NLb3IyO8g8AANYVK2A2aJEcawAAXGlz9B+YruyXiPoTg67T0dqD0+8q2/cczXoPx1qPBF1rwr/8CwCgbdeu/p7NCElIjcHMJUpw/uiNs3AO3KSciIhGHQZGomHq6XUj06kMuX5mjQUATE2ailhNrM9xLf//NQinE6aimUovH4CMBDMAoLZ1wAbXaZ7A2HDS53zZLePvr56Cq9sN97gOnE77GAdrDwZdb/z9/wzJbEZPZSU6P/oo6PODVfz1XMQlGtHe1IWDfzoX8esREVHkMDASDVPNtU4UayoBAO+7ldv0LZ6w2OcYV0MDWn//ewBAyiOPeFc156YoobKqqaP/4IxZyufqf3gXvgghcHBXFWor26A3ajH935IgJIEPqj9Aj7snqHp1iYlI/OY3AQBNm5+HcLuDOj9Yxhg9lj44DZCALz++is/L/W8ZREREIx8DI9Ew1Zz+FMmSHV/qY3CkTRmOvi//Pu/zQgjU/7//guxwwFxUhLglS7zPTRuv7J94um7AKuKchYDWoGyt03wOsizw8Z+qcOLDKwCAu783Ff808ytIi0lDW08b9lzaE3TNyd9/CBqLBd2nT6Pl1d8Ns+VDN6EgEV9ZoQzRH/zTOXz+QU3Eh8OJiCj8xmxg3LJlC3Jzc2EymTB//nwcPnxY7ZJolDF8+WcIAL9MVbbEuSvrLmTEKnsQCiHQ9Nxv0FFeDuj1SP9ZGSRN/9vttgwlMB6/3NofoAyxQK5ny51P/4a//ncFPv9A6ZVb/MAUTJqbCp1Gh28WKr2Ev634Lbp6g7tnsy4lBak/fRwA0Pjcc7CXlw+v8UGYszwHRfcoK8cP/vEcyl/9El12503OIiKikWRMBsY33ngDGzZsQFlZGY4fP46ioiIsX74cjY2NapdGo0RvSzWKGv+CV6zxOGpwQCfpsH72egCArrUN9T95HNdefhkAkP7Mf8LkmbvYZ15eEkx6Derau/HFFWUjblkWqE//Hj5o/7/4n79Nw5UzrdAZNFj2f27D9MX9K6+/VfgtpMakorajFk9/9HTQQ9MJq1bBunIl4HbjyvofofH55yF3dobwpxGYJElY9O+TsPBfJ0GSgMpP6/H7Zw7h413ncK22gz2ORESjgCTG4L/W8+fPx+23344XX3wRACDLMrKysrB+/Xo8+eSTNz3fZrPBarWivb0d8fE3vzXbUFWfPY0rZytRefYsCqZMgaSRgIF/OwL9c9ugfC0g4Pkf+g8Wvp9k5TjJe5TwnN93uMDACwkB7+sCwmcfaUkMOFLIg37YCyF8ahaQfb6X3TJqrtQgM1PZ3NlbSN81B1YiAGlAe32v5WmFLPUf7PNJ7n9cSANbB5/Gi772Sd7HfK4z6N0h4O5qgr2pAmd1vbii08PQK7A8cQFuc49HV2Uluk+dUv6sNVokPViC+GXLfF5BlgWcjl688kEVTl9uw6QYE2bEx8JR70BvV/+8wgmx5zDrqxaYc3Mh9LGApIXQ6ABJwuetJ/HkF/8Ft3Ajw5SOpemLMTEuD0mGBBg0eug1emglLSTc4E4wvb3Qbfsf6PYqi1+EyQh5zm2QJ+VCpKYA1jgIsxnQaQGtFtBqlM8A3LKMkydPYvr06dBqh74XJADYmrS4cNSEztb+8wxmGbGJbsRYZRhjZOiMAjqjgFYHSBrlQ6MBJI2Av+YMeujmN78JSHa7ve9BTZDtGw2ivX1A9Lcx2tsHKG28UHcVq9c8DL1eH7bXjdTP77FgzAVGp9OJmJgY7Nq1CytXrvQ+XlJSgra2Nrz55puDzunp6UFPT38vjs1mQ1ZWFpqbm8P6H9zvHy2DQ14attej0acbAk0GO0pi/xuFhmMIdOe/QyYjnkhNQctwf2AIga+cEXhgv4zxkd3L2/eykHAtaRpqM+5Ea2IBZK3h1l2ciEYNY/cBfOu3/xH2wJiSksLAOAw6tQu41Zqbm+F2u5GW5ntbtbS0NJw5c8bvOZs2bcLPf/7zQY+///77iImJCVttLrcTGtnf3K6hZHrfY6Qh/R4wzGOue23/mSZM1x90LTHorMHXH267rntBv3+GwnOI5P1/SBKg0UBoNBA6LYReD3HdrQEHFikBkPQCGp2AUyNwyQlUyzIaJIE6rQxZ0mE/HsL35AlYIJ1CutQCE5zQwQ0tZG9P8awuGburm7AnzoTDZiNq9Vpc02rRC8AlSXANoaetogComCJhYh0wtRrIbgQSOgQsDsDkArQyoHV7Pg/3V0s/vbQW2ykU2k5BlnSwx+fBYU5HV0w6nAYrXLpY9OpjIWv0EJIWQtJC1mghpOv/uepvoLjpPbVD7HYkoltPkrF3796wvqTD4bj5QeTXmAuMw/HUU09hw4YN3u/7ehiXLVsW3t9Qvv51uFwu7N27F1/96lfD+lvVSMH2BWP1TY+wAPh3z8etwr/D0S3a2wdEfxujvX1AXxt7wt5Gm433tx+uMRcYU1JSoNVq0dDQ4PN4Q0MD0tPT/Z5jNBphNBoHPa7X6yP2Zo3ka48EbN/oF+1tZPtGv2hvY7S3Dwh/G6P9zyuSxtwqaYPBgLlz56J8wHYisiyjvLwcCxYsULEyIiIiopFpzPUwAsCGDRtQUlKC4uJizJs3D5s3b0ZnZyfWrFmjdmlEREREI86YDIyrV69GU1MTnnnmGdTX12PWrFl47733Bi2EISIiIqIxGhgBYN26dVi3bp3aZRARERGNeGNuDiMRERERBYeBkYiIiIgCYmAkIiIiooAYGImIiIgoIAZGIiIiIgqIgZGIiIiIAmJgJCIiIqKAGBiJiIiIKCAGRiIiIiIKaMze6SUUQggAgM1mC/tru1wuOBwO2Gw26PX6sL++2ti+0S/a28j2jX7R3sZobx8QuTb2/dzu+zlOQ8fAOAx2ux0AkJWVpXIlREREFCy73Q6r1ap2GaOKJBizgybLMurq6mCxWCBJUlhf22azISsrCzU1NYiPjw/ra48EbN/oF+1tZPtGv2hvY7S3D4hcG4UQsNvtyMjIgEbDWXnBYA/jMGg0GmRmZkb0GvHx8VH7DwHA9kWDaG8j2zf6RXsbo719QGTayJ7F4WG8JiIiIqKAGBiJiIiIKCAGxhHGaDSirKwMRqNR7VIigu0b/aK9jWzf6BftbYz29gFjo42jDRe9EBEREVFA7GEkIiIiooAYGImIiIgoIAZGIiIiIgqIgZGIiIiIAmJgHKEuXbqE73//+8jLy4PZbMbEiRNRVlYGp9Opdmlh84tf/AILFy5ETEwMEhIS1C4nLLZs2YLc3FyYTCbMnz8fhw8fVruksDlw4ADuv/9+ZGRkQJIk/OUvf1G7pLDatGkTbr/9dlgsFqSmpmLlypWorKxUu6yw2bp1K2bOnOndCHnBggV499131S4rYp599llIkoTHHntM7VLC5mc/+xkkSfL5KCwsVLussKqtrcV3vvMdJCcnw2w2Y8aMGTh69KjaZREYGEesM2fOQJZlbNu2DadOncJvfvMbvPTSS3j66afVLi1snE4nVq1ahbVr16pdSli88cYb2LBhA8rKynD8+HEUFRVh+fLlaGxsVLu0sOjs7ERRURG2bNmidikRsX//fpSWluLQoUPYu3cvXC4Xli1bhs7OTrVLC4vMzEw8++yzOHbsGI4ePYq7774bK1aswKlTp9QuLeyOHDmCbdu2YebMmWqXEna33XYbrl696v04ePCg2iWFTWtrKxYtWgS9Xo93330Xp0+fxq9//WskJiaqXRoBgKBR45e//KXIy8tTu4yw27Fjh7BarWqXEbJ58+aJ0tJS7/dut1tkZGSITZs2qVhVZAAQu3fvVruMiGpsbBQAxP79+9UuJWISExPFK6+8onYZYWW328XkyZPF3r17xeLFi8Wjjz6qdklhU1ZWJoqKitQuI2KeeOIJcccdd6hdBt0AexhHkfb2diQlJaldBvnhdDpx7NgxLF261PuYRqPB0qVL8Y9//EPFymi42tvbASAq33Nutxs7d+5EZ2cnFixYoHY5YVVaWor77rvP570YTc6dO4eMjAzk5+fj29/+Nqqrq9UuKWzeeustFBcXY9WqVUhNTcXs2bPx8ssvq10WeTAwjhJVVVV44YUX8IMf/EDtUsiP5uZmuN1upKWl+TyelpaG+vp6laqi4ZJlGY899hgWLVqE6dOnq11O2Jw4cQJxcXEwGo344Q9/iN27d2PatGlqlxU2O3fuxPHjx7Fp0ya1S4mI+fPn49VXX8V7772HrVu34uLFi7jzzjtht9vVLi0sLly4gK1bt2Ly5MnYs2cP1q5dix/96Ef43e9+p3ZpBAbGW+7JJ58cNGn5+o8zZ874nFNbW4uvfe1rWLVqFR5++GGVKh+a4bSPaKQpLS3FyZMnsXPnTrVLCauCggJUVFTg008/xdq1a1FSUoLTp0+rXVZY1NTU4NFHH8Uf/vAHmEwmtcuJiHvvvRerVq3CzJkzsXz5crzzzjtoa2vDH//4R7VLCwtZljFnzhxs3LgRs2fPxiOPPIKHH34YL730ktqlEQCd2gWMNT/5yU/w4IMPBjwmPz/f+3VdXR2WLFmChQsXYvv27RGuLnTBti9apKSkQKvVoqGhwefxhoYGpKenq1QVDce6devw9ttv48CBA8jMzFS7nLAyGAyYNGkSAGDu3Lk4cuQInn/+eWzbtk3lykJ37NgxNDY2Ys6cOd7H3G43Dhw4gBdffBE9PT3QarUqVhh+CQkJmDJlCqqqqtQuJSzGjx8/qMd76tSp+POf/6xSRTQQA+MtNm7cOIwbN25Ix9bW1mLJkiWYO3cuduzYAY1m5HcIB9O+aGIwGDB37lyUl5dj5cqVAJTflsvLy7Fu3Tp1i6MhEUJg/fr12L17N/bt24e8vDy1S4o4WZbR09Ojdhlhcc899+DEiRM+j61ZswaFhYV44oknoi4sAkBHRwfOnz+P7373u2qXEhaLFi0atJXV2bNnkZOTo1JFNBAD4whVW1uLu+66Czk5OfjVr36FpqYm73PR0mNVXV2NlpYWVFdXw+12o6KiAgAwadIkxMXFqVvcMGzYsAElJSUoLi7GvHnzsHnzZnR2dmLNmjVqlxYWHR0dPj0ZFy9eREVFBZKSkpCdna1iZeFRWlqK119/HW+++SYsFot37qnVaoXZbFa5utA99dRTuPfee5GdnQ273Y7XX38d+/btw549e9QuLSwsFsug+aaxsbFITk6Omnmojz/+OO6//37k5OSgrq4OZWVl0Gq1eOCBB9QuLSx+/OMfY+HChdi4cSO+8Y1v4PDhw9i+ffuoGF0bE9Repk3+7dixQwDw+xEtSkpK/Lbvww8/VLu0YXvhhRdEdna2MBgMYt68eeLQoUNqlxQ2H374od+/r5KSErVLC4sbvd927Nihdmlh8dBDD4mcnBxhMBjEuHHjxD333CPef/99tcuKqGjbVmf16tVi/PjxwmAwiAkTJojVq1eLqqoqtcsKq7/+9a9i+vTpwmg0isLCQrF9+3a1SyIPSQghbmVAJSIiIqLRZeRPiiMiIiIiVTEwEhEREVFADIxEREREFBADIxEREREFxMBIRERERAExMBIRERFRQAyMRERERBQQAyMRERERBcTASEREREQBMTASERERUUAMjEQ05jU1NSE9PR0bN270PvbJJ5/AYDCgvLxcxcqIiEYG3kuaiAjAO++8g5UrV+KTTz5BQUEBZs2ahRUrVuC5555TuzQiItUxMBIReZSWluLvf/87iouLceLECRw5cgRGo1HtsoiIVMfASETk0dXVhenTp6OmpgbHjh3DjBkz1C6JiGhE4BxGIiKP8+fPo66uDrIs49KlS2qXQ0Q0YrCHkYgIgNPpxLx58zBr1iwUFBRg8+bNOHHiBFJTU9UujYhIdQyMREQAfvrTn2LXrl34/PPPERcXh8WLF8NqteLtt99WuzQiItVxSJqIxrx9+/Zh8+bNeO211xAfHw+NRoPXXnsNH330EbZu3ap2eUREqmMPIxEREREFxB5GIiIiIgqIgZGIiIiIAmJgJCIiIqKAGBiJiIiIKCAGRiIiIiIKiIGRiIiIiAJiYCQiIiKigBgYiYiIiCggBkYiIiIiCoiBkYiIiIgCYmAkIiIiooAYGImIiIgooP8FK+AAY9FIgXgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "def u_gaussian_advdiff(x, t, a=1.0, nu=0.02):\n", " \"\"\"\n", " Fundamental solution of 1D advection-diffusion on R:\n", " u_t + a u_x = nu u_xx\n", " with initial condition u(x,0) = delta(x).\n", " \"\"\"\n", " t = np.asarray(t, dtype=float)\n", " if np.any(t <= 0):\n", " raise ValueError(\"All t must be > 0 for the fundamental (Gaussian) solution.\")\n", " return (1.0 / np.sqrt(4.0 * np.pi * nu * t)) * np.exp(-((x - a * t) ** 2) / (4.0 * nu * t))\n", "\n", "# ----------------- parameters -----------------\n", "a = 1.0 # advection speed\n", "nu = 0.02 # diffusivity\n", "\n", "# Spatial domain for plotting (infinite line approximated by a large interval)\n", "x = np.linspace(-2.0, 6.0, 2000)\n", "\n", "# Times to plot (must be > 0)\n", "times = [0.05, 0.10, 0.20, 0.40, 0.80]\n", "\n", "# ----------------- plot -----------------\n", "plt.figure()\n", "for t in times:\n", " u = u_gaussian_advdiff(x, t, a=a, nu=nu)\n", " plt.plot(x, u, label=f\"t = {t:g} (center = a t = {a*t:g})\")\n", "\n", "plt.xlabel(\"x\")\n", "plt.ylabel(\"u(x,t)\")\n", "plt.title(\"1D Advection–Diffusion (Infinite Line): Gaussian pulse traveling + spreading\")\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "8bcbc759-29d3-41b7-ac41-66657080c312", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "# -----------------------------\n", "# Analytical solution (delta IC)\n", "# -----------------------------\n", "def u_analytic_gaussian(x, t, a, nu):\n", " if t <= 0:\n", " # not defined for t=0 in classical sense (delta); handle separately if needed\n", " return np.zeros_like(x)\n", " return (1.0 / np.sqrt(4.0 * np.pi * nu * t)) * np.exp(-((x - a * t) ** 2) / (4.0 * nu * t))\n", "\n", "\n", "# -----------------------------\n", "# Finite-difference solver\n", "# -----------------------------\n", "def solve_advdiff_fd(a=1.0, nu=0.02, x_min=-2.0, x_max=6.0, Nx=2001, t_end=0.8, cfl=0.5, rdiff=0.45, x0=0.0, sigma0=0.03,):\n", " \"\"\"\n", " Solve u_t + a u_x = nu u_xx on a large interval [x_min, x_max]\n", " using:\n", " - upwind for advection\n", " - centered difference for diffusion\n", " - forward Euler in time\n", "\n", " \"Whole line\" is approximated by large domain + far-field BC u=0 at both ends.\n", "\n", " IC: a narrow Gaussian (approx delta)\n", " u(x,0) = 1/(sqrt(2*pi)*sigma0) * exp(-(x-x0)^2/(2*sigma0^2))\n", " (mass ~ 1)\n", " \"\"\"\n", " # grid\n", " x = np.linspace(x_min, x_max, Nx)\n", " dx = x[1] - x[0]\n", "\n", " # time step from both constraints:\n", " # advection CFL: |a| dt/dx <= cfl\n", " # diffusion: nu dt/dx^2 <= rdiff (explicit stability)\n", " dt_adv = np.inf if a == 0 else cfl * dx / abs(a)\n", " dt_dif = np.inf if nu == 0 else rdiff * dx * dx / nu\n", " dt = min(dt_adv, dt_dif)\n", "\n", " Nt = int(np.ceil(t_end / dt))\n", " dt = t_end / Nt # adjust so we land exactly at t_end\n", "\n", " # initial condition: narrow Gaussian with unit mass\n", " u = (1.0 / (np.sqrt(2.0 * np.pi) * sigma0)) * np.exp(-0.5 * ((x - x0) / sigma0) ** 2)\n", "\n", " # precompute coefficients\n", " # diffusion number\n", " mu = nu * dt / (dx * dx)\n", "\n", " # time-march\n", " for n in range(Nt):\n", " # enforce far-field Dirichlet BCs ~ \"goes to 0 at infinity\"\n", " u[0] = 0.0\n", " u[-1] = 0.0\n", "\n", " # copy for update\n", " un = u.copy()\n", "\n", " # -----------------\n", " # Advection (upwind)\n", " # -----------------\n", " if a >= 0:\n", " # u_x ≈ (u_i - u_{i-1})/dx\n", " adv = a * (un[1:-1] - un[0:-2]) / dx\n", " else:\n", " # u_x ≈ (u_{i+1} - u_i)/dx\n", " adv = a * (un[2:] - un[1:-1]) / dx\n", "\n", " # -----------------\n", " # Diffusion (centered)\n", " # -----------------\n", " dif = nu * (un[2:] - 2.0 * un[1:-1] + un[0:-2]) / (dx * dx)\n", "\n", " # Forward Euler update\n", " u[1:-1] = un[1:-1] - dt * adv + dt * dif\n", "\n", " return x, u, dt, Nt\n", "# -----------------------------\n", "# Run + plot comparison\n", "# -----------------------------\n", "if __name__ == \"__main__\":\n", " a = 1.0\n", " nu = 0.02\n", " t_end = 0.8\n", "\n", " # FD solve\n", " x, u_num, dt, Nt = solve_advdiff_fd(\n", " a=a, nu=nu,\n", " x_min=-2.0, x_max=6.0, Nx=2001,\n", " t_end=t_end,\n", " cfl=0.5, rdiff=0.45,\n", " x0=0.0, sigma0=0.03, # narrow Gaussian ~ delta\n", " )\n", "\n", " # Analytic (delta) at t_end\n", " u_exact = u_analytic_gaussian(x, t_end, a, nu)\n", "\n", " # Plot\n", " plt.figure()\n", " plt.plot(x, u_num, label=f\"FD (dt={dt:.2e}, Nt={Nt})\")\n", " plt.plot(x, u_exact, \"--\", label=\"Analytical (delta Gaussian)\")\n", " plt.xlabel(\"x\")\n", " plt.ylabel(\"u(x,t)\")\n", " plt.title(f\"1D Advection–Diffusion on large domain (t={t_end})\")\n", " plt.grid(True)\n", " plt.legend()\n", " plt.show()\n", "\n", " # Optional: check mass (should be ~1 if boundaries far enough)\n", " mass = np.trapz(u_num, x)" ] }, { "cell_type": "code", "execution_count": 5, "id": "cb782cf4-6459-4715-919e-4f4184b4a6a8", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib\n", "matplotlib.rcParams['mathtext.fontset'] = 'cm'\n", "def analytic_delta_solution(x, t, a, nu):\n", " \"\"\"Fundamental solution on R: delta IC -> moving Gaussian.\"\"\"\n", " t = float(t)\n", " if t <= 0:\n", " return np.zeros_like(x)\n", " return (1.0 / np.sqrt(4.0 * np.pi * nu * t)) * np.exp(-((x - a * t) ** 2) / (4.0 * nu * t))\n", "\n", "def lbm_advdiff_1d_d1q3(\n", " Nx=2000,\n", " x_min=-200.0,\n", " x_max=200.0,\n", " a=0.10, # advection speed in lattice units (dx=dt=1)\n", " nu=1.0, # diffusion in lattice units\n", " t_end=400.0, # total time in lattice timesteps\n", " sigma0=2.0, # initial Gaussian width (lattice units)\n", " x0=0.0, # initial center (physical x)\n", " bc_value=0.0 # far-field Dirichlet ~ 0 at ends\n", "):\n", " \"\"\"\n", " D1Q3 BGK LBM for passive scalar advection-diffusion with constant velocity a.\n", " Domain is a large finite interval approximating the whole line.\n", "\n", " Uses non-periodic streaming (manual shift) + Dirichlet far-field BCs on f.\n", " \"\"\"\n", "\n", " # Grid\n", " x = np.linspace(x_min, x_max, Nx)\n", " dx = x[1] - x[0]\n", "\n", " # Lattice units assumption: we want dx=1, dt=1 ideally.\n", " # Here x is \"physical-like\" for plotting; internally we treat lattice index spacing as 1.\n", " # So just interpret a, nu, sigma0, t_end in *lattice units*.\n", " # (If you want physical mapping, set x = np.arange(Nx) and then scale externally.)\n", "\n", " # D1Q3 model\n", " c = np.array([0, 1, -1], dtype=int)\n", " w = np.array([2/3, 1/6, 1/6], dtype=float)\n", " cs2 = 1.0 / 3.0\n", "\n", " # Relaxation time from diffusion\n", " tau = nu / cs2 + 0.5 # tau = 3*nu + 0.5\n", " omega = 1.0 / tau\n", "\n", " if abs(a) >= 1.0:\n", " raise ValueError(\"For D1Q3 with dx=dt=1, keep |a| < 1 (preferably much smaller).\")\n", " if tau <= 0.5:\n", " raise ValueError(\"Need tau > 0.5 (i.e., nu > 0).\")\n", "\n", " # Initial condition: narrow Gaussian with unit mass (approx delta)\n", " # In lattice units, mass ~ sum(phi) * dx_lattice; here dx_lattice=1.\n", " # We'll build phi on the index grid for correctness.\n", " xi = np.arange(Nx, dtype=float)\n", " # Map x0 (physical) to index approximately:\n", " # If you want exact lattice alignment, set x = np.arange(Nx) and choose x0 in index units.\n", " # Here we map by linear interpolation:\n", " x0_idx = (x0 - x_min) / (x_max - x_min) * (Nx - 1)\n", "\n", " phi0 = (1.0 / (np.sqrt(2.0 * np.pi) * sigma0)) * np.exp(-0.5 * ((xi - x0_idx) / sigma0) ** 2)\n", "\n", " # Distributions f_i\n", " # Equilibrium for scalar advection-diffusion (linear in velocity):\n", " # f_i^eq = w_i * phi * (1 + (c_i * a)/cs2)\n", " f = np.zeros((3, Nx), dtype=float)\n", " for i in range(3):\n", " f[i, :] = w[i] * phi0 * (1.0 + (c[i] * a) / cs2)\n", "\n", " # Time stepping\n", " nsteps = int(round(t_end))\n", " for _ in range(nsteps):\n", " # macroscopic scalar\n", " phi = f.sum(axis=0)\n", "\n", " # collision\n", " feq = np.zeros_like(f)\n", " for i in range(3):\n", " feq[i, :] = w[i] * phi * (1.0 + (c[i] * a) / cs2)\n", " f = (1.0 - omega) * f + omega * feq\n", "\n", " # streaming (non-periodic)\n", " f_stream = np.zeros_like(f)\n", "\n", " # c=0 stays\n", " f_stream[0, :] = f[0, :]\n", "\n", " # c=+1 shifts right: f1(x+1) = f1(x) -> new[j] = old[j-1]\n", " f_stream[1, 1:] = f[1, :-1]\n", " f_stream[1, 0] = 0.0 # will set BC below\n", "\n", " # c=-1 shifts left: f2(x-1) = f2(x) -> new[j] = old[j+1]\n", " f_stream[2, :-1] = f[2, 1:]\n", " f_stream[2, -1] = 0.0 # will set BC below\n", "\n", " f = f_stream\n", "\n", " # Far-field Dirichlet BC for phi ~ bc_value:\n", " # simplest: overwrite distributions at boundaries with equilibrium of bc_value.\n", " # Left boundary j=0\n", " phiL = bc_value\n", " f[:, 0] = np.array([\n", " w[0] * phiL * (1.0 + (c[0] * a) / cs2),\n", " w[1] * phiL * (1.0 + (c[1] * a) / cs2),\n", " w[2] * phiL * (1.0 + (c[2] * a) / cs2),\n", " ])\n", "\n", " # Right boundary j=Nx-1\n", " phiR = bc_value\n", " f[:, -1] = np.array([\n", " w[0] * phiR * (1.0 + (c[0] * a) / cs2),\n", " w[1] * phiR * (1.0 + (c[1] * a) / cs2),\n", " w[2] * phiR * (1.0 + (c[2] * a) / cs2),\n", " ])\n", "\n", " phi_num = f.sum(axis=0)\n", " return x, phi_num, tau\n", "\n", "if __name__ == \"__main__\":\n", " # Pick parameters that are safe and visually clear\n", " a = 0.10 # lattice advection speed\n", " nu = 1.00 # lattice diffusion\n", " t_end = 400 # steps\n", "\n", " x, phi_num, tau = lbm_advdiff_1d_d1q3(\n", " Nx=2200,\n", " x_min=-200.0,\n", " x_max=200.0,\n", " a=a,\n", " nu=nu,\n", " t_end=t_end,\n", " sigma0=2.0,\n", " x0=0.0,\n", " bc_value=0.0\n", " )\n", "\n", " # Analytic solution comparison:\n", " # IMPORTANT: The analytic \"delta IC\" solution matches best if the initial condition is a delta.\n", " # Here we used a narrow Gaussian (approx delta), so comparison is still good after some time.\n", " # Also note: in this script, x is for plotting; the true lattice coordinate is index i.\n", " # For a consistent analytic comparison, use lattice coordinate s = (i - i0).\n", " Nx = len(x)\n", " i = np.arange(Nx, dtype=float)\n", " i0 = (0.0 - (-200.0)) / (200.0 - (-200.0)) * (Nx - 1) # same mapping used above\n", " s = i - i0 # lattice coordinate centered at 0\n", "\n", " phi_exact = analytic_delta_solution(s, t_end, a, nu)\n", "\n", " plt.figure()\n", " plt.plot(s, phi_num, label=f\"LBM D1Q3 (tau={tau:.3f})\")\n", " plt.plot(s, phi_exact, \"--\", label=\"Analytical (delta Gaussian)\")\n", " plt.xlabel(\"lattice coordinate s\")\n", " plt.ylabel(r\"$\\phi(s,t)$\")\n", " plt.title(f\"1D Advection–Diffusion: LBM vs Analytical at t={t_end}\")\n", " plt.grid(True)\n", " plt.legend()\n", " plt.show()\n", "\n", " # Mass check (should be ~1 if boundaries are far and bc_value=0):\n", " mass = np.sum(phi_num) # dx_lattice=1" ] }, { "cell_type": "code", "execution_count": null, "id": "5da14503-6896-4ef9-863b-2873ccf2dbdd", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }