Journal of Computational Physics
Lattice Boltzmann equation on a two-dimensional rectangular grid
Journal of Computational Physics
Journal of Computational Physics
Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
Journal of Computational Physics
A new scheme for source term in LBGK model for convection-diffusion equation
Computers & Mathematics with Applications
A numerical simulation method for dissolution in porous and fractured media
Journal of Computational Physics
Journal of Computational Physics
Validation of a lattice Boltzmann model for gas-solid reactions with experiments
Journal of Computational Physics
Lattice boltzmann model for nonlinear heat equations
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Short note: Isotropic discrete Laplacian operators from lattice hydrodynamics
Journal of Computational Physics
Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems
Journal of Computational Physics
Hi-index | 31.48 |
A kinetic Lattice-Boltzmann scheme for advection-diffusion is presented. The scheme is based on a matrix formulation of the lattice Boltzmann method which permits to handle non-isotropic diffusion-advection problems. In addition, by adjusting the kinetic eigenvectors defining the collision matrix to the local value of the flow velocity, the scheme is also shown to preserve isotropy under genuinely two-dimensional flow.