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Porous Media - Multiphase Flow in Porous Continuous Porous Media:

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

Lattice Boltzmann Method - Application to Different Partial differential Equation:

  • Diffusive Equation
  • Poisson Equation (Steady-State Diffusive Equation)
  • Convective Equation (Transport Equation)
  • Convective-Diffusive Equation
  • Difference Finite Scheme of Diffusive Equation derived from Lattice Boltzmann
  • Difference Finite Scheme derived from MRT Lattice Boltzmann for Convective-Diffusive Equation
  • Extra::Avoiding Diffusive effect in Convective Equation (Unfinished) - Variable Lattice Sound Sped
  • Conteúdo - Introdução aos Métodos de Lattice Boltzmann e Differenças Finitas

References:

  • Citations

Appendix:

  • 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
  • Introdution for Transport Equations
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