Article
An iterative procedure to solve a coupled two-fluids turbulence model
Author/s | Chacón Rebollo, Tomás
Pino, Stéphane del Yakoubi, Driss |
Department | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Publication Date | 2010 |
Deposit Date | 2016-05-17 |
Published in |
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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 ... 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. |
Funding agencies | Ministerio de Ciencia y Tecnología (MCYT). España Junta de Andalucía |
Project ID. | MTM2006- 01275
P07-FQM-02538 |
Citation | Chacón Rebollo, T., Del Pino, S. y Yakoubi, D. (2010). An iterative procedure to solve a coupled two-fluids turbulence model. |
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