Reducing Numerical Artifacts by Sacrificing Well-Balance for Rotating Shallow-Water Flow
DOI10.1007/978-3-031-40860-1_19MaRDI QIDQ6151392
Unnamed Author, Unnamed Author
Publication date: 12 February 2024
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
oceanographyrotating shallow-water equationsnumerical artifactshigh-resolution finite-volume schemes
PDEs in connection with fluid mechanics (35Q35) Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08) Geophysical flows (76U60)
Cites Work
- Well-balanced schemes for the shallow water equations with Coriolis forces
- A second-order well-balanced positivity preserving central-upwind scheme for the Saint-Venant system
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Total variation diminishing Runge-Kutta schemes
- On the Artificial Compression Method for Second-Order Nonoscillatory Central Difference Schemes for Systems of Conservation Laws
- Evaluation of Selected Finite-Difference and Finite-Volume Approaches to Rotational Shallow-Water Flow
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