Artículo
A variational finite element model for Large-Eddy simulations of turbulent flows
Autor/es | Chacón Rebollo, Tomás
Lewandowski, Roger |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2013-09 |
Fecha de depósito | 2016-07-07 |
Publicado en |
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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 ... 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. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2012-36124-C02-01 |
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. |
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