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Numerical Time Schemes for an Ocean Related System of PDEs

Madalina Petcu 1 Antoine Rousseau 2
2 OMEGA - Probabilistic numerical methods
CRISAM - Inria Sophia Antipolis - Méditerranée , UHP - Université Henri Poincaré - Nancy 1, Université Nancy 2, CNRS - Centre National de la Recherche Scientifique : UMR7502
Abstract : In this article we consider a system of equations related to the delta–Primitive Equations of the ocean and the atmosphere, linearized around a stratified flow, and we supplement the equations with transparent boundary conditions. We study the stability of different numerical schemes and we show that for each case, letting the vertical viscosity delta go to 0, the stability conditions are the same as the classical CFL conditions for the transport equation.
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Submitted on : Monday, September 17, 2007 - 2:02:04 PM
Last modification on : Friday, February 4, 2022 - 3:14:59 AM
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  • HAL Id : inria-00172506, version 1


Madalina Petcu, Antoine Rousseau. Numerical Time Schemes for an Ocean Related System of PDEs. Numerical Methods for Partial Differential Equations, Wiley, 2006, 22 (1), pp.32--47. ⟨inria-00172506⟩



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