Convection-diffusion lattice Boltzmann scheme for irregular lattices
Journal of Computational Physics
Journal of Computational Physics
A lattice Boltzmann method for incompressible two-phase flows with large density differences
Journal of Computational Physics
A multi-relaxation lattice kinetic method for passive scalar diffusion
Journal of Computational Physics
Asymptotic analysis of the lattice Boltzmann equation
Journal of Computational Physics
A lattice Boltzmann model for multiphase flows with large density ratio
Journal of Computational Physics
Three-dimensional multi-relaxation time (MRT) lattice-Boltzmann models for multiphase flow
Journal of Computational Physics
Asymptotic analysis of multiple-relaxation-time lattice Boltzmann schemes for mixture modeling
Computers & Mathematics with Applications
A new scheme for source term in LBGK model for convection-diffusion equation
Computers & Mathematics with Applications
Advection-diffusion lattice Boltzmann scheme for hierarchical grids
Computers & Mathematics with Applications
Comparison of analysis techniques for the lattice Boltzmann method
Computers & Mathematics with Applications
Journal of Computational Physics
IEEE Transactions on Image Processing
LBM-EP: lattice-boltzmann method for fast cardiac electrophysiology simulation from 3d images
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
Boundary conditions for thermal lattice Boltzmann equation method
Journal of Computational Physics
A New Multiple-relaxation-time Lattice Boltzmann Method for Natural Convection
Journal of Scientific Computing
Lattice Boltzmann method for the convection-diffusion equation in curvilinear coordinate systems
Journal of Computational Physics
Direct simulation of the influence of the pore structure on the diffusion process in porous media
Computers & Mathematics with Applications
Hi-index | 31.46 |
A lattice Boltzmann model with a multiple-relaxation-time (MRT) collision operator for the convection-diffusion equation is presented. The model uses seven discrete velocities in three dimensions (D3Q7 model). The off-diagonal components of the relaxation-time matrix, which originate from the rotation of the principal axes, enable us to take into account full anisotropy of diffusion. An asymptotic analysis of the model equation with boundary rules for the Dirichlet and Neumann-type (specified flux) conditions is carried out to show that the model is first- and second-order accurate in time and space, respectively. The results of the analysis are verified by several numerical examples. It is also shown numerically that the error of the MRT model is less sensitive to the variation of the relaxation-time coefficients than that of the classical BGK model. In addition, an alternative treatment for the Neumann-type boundary condition that improves the accuracy on a curved boundary is presented along with a numerical example of a spherical boundary.