Improved Semi-Lagrangian Stabilizing Correction Scheme for Shallow Water Equations

摘要

Improved splitting method based on stabilizing correction scheme is used for solving shallow water equations. Recently introduced by Douglas et al. technique is applied to reduce splitting errors. Accuracy and stability analysis showed that the developed scheme allows to chose extended time steps and is more accurate as compared with standard splitting method. The results of numerical experiments confirmed that presented scheme has almost the same computational efficiency as primitive stabilizing correction method and it continues to be accurate and stable for extended time steps up to 1 hour when primitive method fails.