New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations

Carine Lucas 1 Antoine Rousseau 1
1 MOISE - Modelling, Observations, Identification for Environmental Sciences
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann, INPG - Institut National Polytechnique de Grenoble
Abstract : The viscous Shallow Water Equations and Quasi-Geostrophic Equations are considered in this paper. Some new terms, related to the Coriolis force, are revealed thanks to a rigorous asymptotic analysis. After providing well-posedness arguments for the new models, the authors perform some numerical computations that confirm the role played by the cosine effect in various physical configurations.
Document type :
Reports
Complete list of metadatas

Cited literature [25 references]  Display  Hide  Download

https://hal.inria.fr/inria-00180921
Contributor : Antoine Rousseau <>
Submitted on : Friday, December 12, 2008 - 1:53:30 PM
Last modification on : Wednesday, April 11, 2018 - 1:59:40 AM
Long-term archiving on : Saturday, November 26, 2016 - 3:23:35 AM

File

RR-6330.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00180921, version 4

Citation

Carine Lucas, Antoine Rousseau. New Developments and Cosine Effect in the Viscous Shallow Water and Quasi-Geostrophic Equations. [Research Report] RR-6330, INRIA. 2007. ⟨inria-00180921v4⟩

Share

Metrics

Record views

412

Files downloads

283