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A variational finite element model for Large-Eddy simulations of turbulent flows

Opened Access A variational finite element model for Large-Eddy simulations of turbulent flows

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Autor: Chacón Rebollo, Tomás
Lewandowski, Roger
Departamento: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Fecha: 2013-09
Publicado en: Chinese Annals of Mathematics, Series B, 34 (5), 667-682.
Tipo de documento: Artículo
Resumen: We introduce a new Large Eddy Simulation model in a channel, based on the projection on finite element spaces as filtering operation in its variational form, for a given triangulation {Th}h>0. The eddy viscosity is expressed in terms of the friction velocity in the boundary layer due to the wall, and is of a standard sub grid-model form outside the boundary layer. The mixing length scale is locally equal to the grid size. The computational domain is the channel without the linear sub-layer of the boundary layer. The no slip boundary condition (BC) is replaced by a Navier (BC) at the computational wall. Considering the steady state case, we show that the variational finite element model we have introduced, has a solution (vh, ph)h>0 that converges to a solution of the steady state Navier-Stokes Equation with Navier BC.
Cita: Chacón Rebollo, T. y Lewandowski, R. (2013). A variational finite element model for Large-Eddy simulations of turbulent flows. Chinese Annals of Mathematics, Series B, 34 (5), 667-682.
Tamaño: 207.4Kb
Formato: PDF

URI: http://hdl.handle.net/11441/43292

DOI: 10.1007/s11401-013-0796-6

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