Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates (Q1360396)

A linear analysis of the shallow water equations in spherical coordinates for the Turkel-Zwas (T-Z) explicit large time-step scheme is presented. This coordinate system is more realistic in meteorology and more complicated to analyze, since the coefficients are no longer constant. The analysis suggests that the T-Z scheme must be staggered in a certain way in order to get eigenvalues and eigenfunctions approaching those of the continuous case. Numerical experiments comparing the original (unstaggered) and staggered versions of the T-Z scheme are presented.