Numerical Testcases to Study Proudman Resonance Using Shallow Water Models

Authors

Nicole Beisiegel, Technological University Dublin, IrelandFollow
Jorn Behrens, Universitat Hamburg, Germany

Document Type

Conference Paper

Disciplines

1.1 MATHEMATICS

Publication Details

https://www.scipedia.com/public/Beisiegel_Behrens_2022a

DOI: 10.23967/eccomas.2022.205

Abstract

Proudman resonance is the dominant mechanism behind meteotsunamis. We develop a comprehensive set of testcases to validate numerical methods focusing on the performance with respect to represent mentioned resonance. With the test cases we assess the wave amplification in dependence of characteristics of the pressure perturbation, model parameters, model resolution, and bathymetry characteristics. We use the compilation of tests to validate an adaptive discontinuous Galerkin (DG) model for the two-dimensional non-linear shallow water equations. As the tests are highly sensitive to model resolution, we use the adaptive mesh capabilities of the model to locally refine the disturbance and thus gain considerable efficiency.

DOI

https://doi.org/10.23967/eccomas.2022.205

Recommended Citation

Beisiegel, Nicole and Behrens, Jorn, "Numerical Testcases to Study Proudman Resonance Using Shallow Water Models" (2022). Conference papers. 44.
https://arrow.tudublin.ie/scschmatcon/44

Creative Commons License

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