Reducing Numerical Artifacts by Sacrificing Well-Balance for Rotating Shallow-Water Flow
Chapter
Accepted version
Permanent lenke
https://hdl.handle.net/11250/3107371Utgivelsesdato
2023Metadata
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Originalversjon
Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems: FVCA10, Strasbourg, France, October 30, 2023–November 03, 2023. 2023, 181-189. 10.1007/978-3-031-40860-1_19Sammendrag
We consider the problem of rotational shallow-water flow for which non-trivial rotating steady-state solutions are of great importance. In particular, we investigate a high-resolution central-upwind scheme that is well-balanced for a subset of these stationary solutions and show that the well-balanced design is the source of numerical artifacts when applied to more general problems. We propose an alternative flux evaluation that sacrifices the well-balanced property and demonstrate that this gives qualitatively better results for relevant test cases and real-world oceanographic simulations.