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Analysis of Apparent Topography scheme for the linear wave equation with Coriolis force
- Source :
- FVCA 2017-Finite Volumes for Complex Applications VIII, FVCA 2017-Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.209-217, ⟨10.1007/978-3-319-57394-6_23⟩, Springer Proceedings in Mathematics & Statistics ISBN: 9783319573939
- Publication Year :
- 2017
- Publisher :
- HAL CCSD, 2017.
-
Abstract
- International audience; The shallow water equations can be used to model many phenomena in geophysical fluid mechanics. For large scales, the Coriolis force plays an important role and the geostrophic equilibrium which corresponds to the balance between the pressure gradient and the Coriolis force is an important feature. In this communication , we investigate the stability condition and the behavior of the so-called Apparent Topography scheme which is capable of capturing a discrete version of the geostrophic equilibrium.
- Subjects :
- Physics
Finite Volume Method
Coriolis Force
Finite volume method
Omega equation
Fluid mechanics
010103 numerical & computational mathematics
Mechanics
Shallow water flows
01 natural sciences
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
010305 fluids & plasmas
Physics::Geophysics
symbols.namesake
0103 physical sciences
Fictitious force
symbols
0101 mathematics
Kelvin wave
Shallow water equations
Pressure gradient
Geostrophic wind
Physics::Atmospheric and Oceanic Physics
Well-balanced Schemes
Subjects
Details
- Language :
- English
- ISBN :
- 978-3-319-57393-9
- ISBNs :
- 9783319573939
- Database :
- OpenAIRE
- Journal :
- FVCA 2017-Finite Volumes for Complex Applications VIII, FVCA 2017-Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.209-217, ⟨10.1007/978-3-319-57394-6_23⟩, Springer Proceedings in Mathematics & Statistics ISBN: 9783319573939
- Accession number :
- edsair.doi.dedup.....9310c3e9c1038c3f56abc850c943aa6d
- Full Text :
- https://doi.org/10.1007/978-3-319-57394-6_23⟩