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Introduction:

Introdution
Mass Balance for two-fluids (Continuous Porous Media)

Convective-Diffusive-Equation (CDE) LBM Approach: Part 1

Diffusive Equation
Poisson Equation (Steady-State Diffusive Equation)
Convective Equation (Transport Equation)
Convective-Diffusive Equation

CDE - Finite Difference Structure of LBM: Part 2

Difference Finite Scheme of Diffusive Equation derived from Lattice Boltzmann
Difference Finite Scheme derived from MRT Lattice Boltzmann for Convective-Diffusive Equation
Conteúdo - Introdução aos Métodos de Lattice Boltzmann e Differenças Finitas

References:

Citations

Appendix:

Introdution for Transport Equations
Boundary Conditions: Deduction for the Lattice D2Q5 - Poisson Equation
Sympy code for FDM expansion of LBM diffusive equation
Sympy code for FDM expansion of LBM diffusive equation up to Fourth-order
Sympy code for FDM expansion of LBM diffusive equation up to Sixth-order

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Index

Index

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