Well-balanced schemes for the shallow water equations with Coriolis forces

DOI10.1007/s00211-017-0928-0zbMath1448.65097OpenAlexW2774510271MaRDI QIDQ1742492

Michael Dudzinski, Alexander Kurganov, Mária Lukáčová-Medvid'ová, Alina E. Chertock

Publication date: 11 April 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-017-0928-0

zbMATH Keywords

shallow water equationsCoriolis forcescentral-upwind schemesfinite-volume evolution Galerkin schemes

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Numerical solutions to equations with linear operators (65J10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for first-order hyperbolic systems (35L45) PDEs in connection with geophysics (35Q86) Finite volume methods for boundary value problems involving PDEs (65N08) Geophysical flows (76U60) Rossby waves (76U65)

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Uses Software

• HE-E1GODF

Cites Work

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