High-Order Well-Balanced Finite Volume Schemes for 1d and 2d Shallow-Water Equations with Variable Bathymetry and Coriolis Forces
摘要
The goal of this work is to develop well-balanced numerical schemes that preserve the geostrophic stationary solutions of the shallow-water equations with variable bathymetry and Coriolis terms, and also to improve the accuracy for initial states that are close to the stationary solution.