Optimum positive linear schemes for advection in two and three dimensions
PL Roe, D Sidilkover - SIAM journal on numerical analysis, 1992 - SIAM
PL Roe, D Sidilkover
SIAM journal on numerical analysis, 1992•SIAMIn this paper the optimal linear, positive schemes for constant-coefficient advection in two or
three dimensions are presented. These are the generalizations of first-order upwinding in
one dimension. By comparison with a dimension-by-dimension treatment the optimum
schemes have much lower numerical diffusion, and permit larger timesteps.
three dimensions are presented. These are the generalizations of first-order upwinding in
one dimension. By comparison with a dimension-by-dimension treatment the optimum
schemes have much lower numerical diffusion, and permit larger timesteps.
In this paper the optimal linear, positive schemes for constant-coefficient advection in two or three dimensions are presented. These are the generalizations of first-order upwinding in one dimension. By comparison with a dimension-by-dimension treatment the optimum schemes have much lower numerical diffusion, and permit larger timesteps.