Numerical Time Schemes for an Ocean Related System of PDEs

Authors :: Petcu, Madalina
Rousseau, Antoine
Laboratoire de Mathématiques d'Orsay (LM-Orsay)
Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)
Probabilistic numerical methods (OMEGA)
Inria Sophia Antipolis - Méditerranée (CRISAM)
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Université Henri Poincaré - Nancy 1 (UHP)-Université Nancy 2-Centre National de la Recherche Scientifique (CNRS)
Source :: Numerical Methods for Partial Differential Equations, Numerical Methods for Partial Differential Equations, 2006, 22 (1), pp.32--47, Numerical Methods for Partial Differential Equations, Wiley, 2006, 22 (1), pp.32--47
Publication Year :: 2006
Publisher :: HAL CCSD, 2006.
Abstract: International audience; 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.

Language :: English
ISSN :: 0749159X and 10982426
Database :: OpenAIRE
Journal :: Numerical Methods for Partial Differential Equations, Numerical Methods for Partial Differential Equations, 2006, 22 (1), pp.32--47, Numerical Methods for Partial Differential Equations, Wiley, 2006, 22 (1), pp.32--47
Accession number :: edsair.dedup.wf.001..4b2c382e4876b816fad8f1a580660017

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