Physical Review Letters
Kinetic lattice methods are a very attractive representation of nonlinear macroscopic systems because of their inherent parallelizability on multiple processors and their avoidance of the nonlinear convective terms. By uncoupling the velocity lattice from the spatial grid, one can employ higher order (non-space-filling) isotropic lattices-lattices which greatly enhance the stable parameter regions, particularly in thermal problems. In particular, the superiority of the octagonal lattice over previous models used in 2D (hexagonal or square) and 3D (projected face-centered hypercube) is shown.
Original Publication Citation
Pavlo, P., Vahala, G., & Vahala, L. (1998). Higher order isotropic velocity grids in lattice methods. Physical Review Letters, 80(18), 3960-3963. doi: 10.1103/PhysRevLett.80.3960
Pavlo, Pavol; Vahala, George; and Vahala, Linda L., "Higher Order Isotropic Velocity Grids in Lattice Methods" (1998). Electrical & Computer Engineering Faculty Publications. 55.