Document Type

Article

Publication Date

1998

DOI

10.1103/PhysRevLett.80.3960

Publication Title

Physical Review Letters

Volume

80

Issue

18

Pages

3960-3963

Abstract

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

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