A Novel Multiple-Relaxation-Time Lattice-Boltzmann Model for Simulating Anisotropic Advective-Diffusive Transport

We developed a new Lattice-Boltzmann (LB) model to simulate the two-dimensional advection-anisotropic diffusion equation. We approximate the collision term using a multiple-relaxation-time (MRT) method. We validated our model by comparing our simulations to analytical solutions for the cases of pure diffusion and advective-diffusive transport in both isotropic and anisotropic media. Our MRT LB method is more stable than the traditional Bhatnagar-Gross-Krook (BGK) LB model, which uses a single relaxation time.