Analysis of Apparent Topography Scheme for the Linear Wave Equation with Coriolis Force

DOI10.1007/978-3-319-57394-6_23zbMath1365.76329OpenAlexW2619817499MaRDI QIDQ5271121

Emmanuel Audusse, Yohan Penel, Minh Hieu Do, Pascal Omnes

Publication date: 4 July 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_23

zbMATH Keywords

Coriolis forcefinite volume methodshallow water flowswell-balanced schemes

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) General theory of rotating fluids (76U05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (1)

Analysis of modified Godunov type schemes for the two-dimensional linear wave equation with Coriolis source term on Cartesian meshes

Cites Work

• Analysis of Godunov type schemes applied to the compressible Euler system at low Mach number
• Godunov type scheme for the linear wave equation with Coriolis source term
• A Fast and Stable Well-Balanced Scheme with Hydrostatic Reconstruction for Shallow Water Flows
• Frontal geostrophic adjustment and nonlinear wave phenomena in one-dimensional rotating shallow water. Part 2. High-resolution numerical simulations
• Finite Volume Simulation of the Geostrophic Adjustment in a Rotating Shallow-Water System

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