NUMERICAL SCHEMES OBTAINED FROM LATTICE BOLTZMANN EQUATIONS FOR ADVECTION DIFFUSION EQUATIONS

DOI10.1142/S0129183106010030zbMath1121.82302MaRDI QIDQ3427087

Shinsuke Suga

Publication date: 14 March 2007

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

zbMATH Keywords

advection-diffusionlattice Boltzmann equationaccuracy of the schemestability of the numerical scheme

Mathematics Subject Classification ID

Related Items (13)

Lattice Boltzmann simulations of a time-dependent natural convection problem ⋮ A lattice Boltzmann model for coupled diffusion ⋮ Optimal stability of advection-diffusion lattice Boltzmann models with two relaxation times for positive/negative equilibrium ⋮ Construction and analysis of lattice Boltzmann methods applied to a 1D convection-diffusion equation ⋮ Lattice Boltzmann model for diffusion equation with reduced truncation errors: applications to Gaussian filtering and image processing ⋮ The role of the kinetic parameter in the stability of two-relaxation-time advection-diffusion lattice Boltzmann schemes ⋮ On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection–diffusion equations ⋮ An improved lattice Boltzmann method for simulating advective-diffusive processes in fluids ⋮ Acceleration of lattice Boltzmann models through state extrapolation: a reaction-diffusion example ⋮ Lattice Boltzmann simulation of advection-diffusion of chemicals and applications to blood flow ⋮ Equivalent finite difference and partial differential equations for the lattice Boltzmann method ⋮ Non-negativity and stability analyses of lattice Boltzmann method for advection-diffusion equation ⋮ STABILITY AND ACCURACY OF LATTICE BOLTZMANN SCHEMES FOR ANISOTROPIC ADVECTION-DIFFUSION EQUATIONS

Cites Work

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• A lattice Boltzmann method for a binary miscible fluid mixture and its application to a heat transfer problem
• Fully-Lagrangian and lattice-Boltzmann methods for solving systems of conservation equations
• Lattice Boltzmann computational fluid dynamics in three dimensions
• Convection-diffusion lattice Boltzmann scheme for irregular lattices
• Lattice dependence of reaction-diffusion in lattice Boltzmann modeling
• A lattice Boltzmann equation for diffusion
• Lattice BGK Models for Navier-Stokes Equation
• Matrix Analysis

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