Stability Analysis of an Odd--Even-Line Hopscotch Method for Three-Dimensional Advection--Diffusion Problems
Stability Analysis of an Odd--Even-Line Hopscotch Method for Three-Dimensional Advection--Diffusion Problems
A linear stability analysis is given for an odd--even-line hopscotch (OELH) method, which has been developed for integrating three-space dimensional, shallow water transport problems. Sufficient and necessary conditions are derived for strict von Neumann stability for the case of the general, constant coefficient, linear advection--diffusion model problem. The analysis is …