A theoretical study of a simplified air-sea coupling problem including turbulent parameterizations

Charles Pelletier 1 Florian Lemarié 1 Eric Blayo 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 : In this paper we study a simplified mathematical model representative of air-sea coupling. This model incorporates parameterizations of the turbulent boundary layers as used in realistic models. We show that even if simple equations like the one-dimensional stationary heat equation are considered the presence of parameterizations renders the problem extremly complex to study and the unicity of solutions is no longer guaranteed. We motivate and describe a coupling algorithm which ensures that a unique physically sound solution is obtained.
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Charles Pelletier, Florian Lemarié, Eric Blayo. A theoretical study of a simplified air-sea coupling problem including turbulent parameterizations. COUPLED PROBLEMS 2017 - VII International Conference on Computational Methods for Coupled Problems in Science and Engineering, Jun 2017, Rhodes, Greece. pp.38-49. ⟨hal-01659443⟩

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