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An iterative procedure to solve a coupled two-fluids turbulence model

Published online by Cambridge University Press:  23 February 2010

Tomas Chacón Rebollo ,
Stéphane Del Pino  and
Driss Yakoubi
Tomas Chacón Rebollo
Affiliation:
Departamento de Ecuaciones Diferenciales y Analisis Numerico, Universidad de Sevilla, Spain.
Stéphane Del Pino
Affiliation:
CEA, DAM, DIF, 91297 Arpajon, France.
Driss Yakoubi
Affiliation:
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, 4 place Jussieu, 75005 Paris Cedex, France.
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Abstract

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 W 1,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.

Keywords

Ocean-atmosphere couplingturbulent flowsconvergence analysisiterative methodspectral method
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 4 , July 2010 , pp. 693 - 713
Copyright
© EDP Sciences, SMAI, 2010

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