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Compact finite difference schemes for shallow-water ocean model

Christine Kazantsev 1, 2 Eugene Kazantsev 1, 2 Eric Blayo 1, 2
1 IDOPT - System identification and optimization in physics and environment
Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : UMR5527
Abstract : In this paper, we test some high order numerical schemes on simple oceanic models. We first compare fourth-order and sixth-order compact schemes with the classical second-order centered scheme on the system of equations describing the inertia-gravity waves, and then we focus on the performances of the fourth-order compact scheme on oceanic typical processes, such as Munk boundary layer and shallow-water physics. Numerical analysis of the schemes, and many computational results are presented.
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https://hal.inria.fr/inria-00071667
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Submitted on : Tuesday, May 23, 2006 - 6:27:24 PM
Last modification on : Saturday, April 23, 2022 - 3:32:24 AM
Long-term archiving on: : Sunday, April 4, 2010 - 8:18:04 PM

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  • HAL Id : inria-00071667, version 1

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Christine Kazantsev, Eugene Kazantsev, Eric Blayo. Compact finite difference schemes for shallow-water ocean model. [Research Report] RR-4913, INRIA. 2003. ⟨inria-00071667⟩

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