Analysis of ocean-atmosphere coupling algorithms : consistency and stability

Florian Lemarié 1 Eric Blayo 1 Laurent Debreu 1
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, UGA - Université Grenoble Alpes, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : This paper is focused on the numerical and computational issues associated to ocean-atmosphere coupling. It is shown that usual coupling methods do not provide the solution to the correct problem, but to an approaching one since they are equivalent to performing one single iteration of an iterative coupling method. The stability analysis of these ad-hoc methods is presented, and we motivate and propose the adaptation of a Schwarz domain decomposition method to ocean-atmosphere coupling to obtain a stable and consistent coupling method.
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Florian Lemarié, Eric Blayo, Laurent Debreu. Analysis of ocean-atmosphere coupling algorithms : consistency and stability. Procedia Computer Science, Elsevier, 2015, International Conference On Computational Science, ICCS 2015 — Computational Science at the Gates of Nature, 51, pp.2066-2075. ⟨10.1016/j.procs.2015.05.473⟩. ⟨hal-01174132⟩

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