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Reducing Numerical Artifacts by Sacrificing Well-Balance for Rotating Shallow-Water Flow

Abstract

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.

Category

Academic lecture

Client

  • Research Council of Norway (RCN) / 310515

Language

English

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics
  • Norwegian University of Science and Technology

Presented at

Finite Volumes for Complex Applications 10 (FVCA 10)

Place

Strasbourg

Date

30.10.2023 - 03.11.2023

Organizer

Université de Strasbourg

Year

2023

View this publication at Cristin