In this article, we consider the linearized inviscid shallow water equations in space dimension two in a rectangular domain. We implement a finite volume discretization and prove the numerical stability and convergence of the scheme for three cases that depend on the background flow ũ0, ṽ0 and φ0 (sub- or super-critical flow at each part of the boundary). The three cases that we consider are fully hyperbolic modes.
|Original language||English (US)|
|Number of pages||25|
|Journal||International Journal of Numerical Analysis and Modeling|
|State||Published - 2014|
All Science Journal Classification (ASJC) codes
- Numerical Analysis