A multi-relaxation lattice kinetic method for passive scalar diffusion
A kinetic Lattice-Boltzmann scheme for advectiondiffusion is presented. The scheme is based on a matrix formulation of the lattice Boltzmann method which permits to handle non-isotropic diffusionadvection 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.
lattice boltzmann method advectiondiffusion equation modified lax-wendroff finite-difference scheme non-isotropic diffusion tayloraris dispersion