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

Tomas Chacón RebolloStéphane Del PinoDriss Yakoubi — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

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 Sobolev norms for large enough. Under the same assumptions,...

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