An iterative procedure to solve a coupled two-fluids turbulence model
ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 4, pp. 693-713.

This paper introduces a scheme for the numerical approximation of a model for two turbulent flows with coupling at an interface. We consider the variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. We prove the convergence of the approximation to this formulation for 3D flows for large turbulent viscosities and smooth enough flows, whenever bounded in W1,p Sobolev norms for p large enough. Under the same assumptions, we show that the limit is a solution of the initial problem. Finally, we give some numerical experiments to enlighten the theoretical work.

DOI : 10.1051/m2an/2010015
Classification : 63N30, 76M10
Mots clés : ocean-atmosphere coupling, turbulent flows, convergence analysis, iterative method, spectral method
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Chacón Rebollo, Tomas; Del Pino, Stéphane; Yakoubi, Driss. An iterative procedure to solve a coupled two-fluids turbulence model. ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 4, pp. 693-713. doi : 10.1051/m2an/2010015. http://archive.numdam.org/articles/10.1051/m2an/2010015/

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