A variational finite element model for Large-Eddy simulations of turbulent flows
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,...
| Authors: | , |
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| Format: | article |
| Status: | Versión enviada para evaluación y publicación |
| Publication Date: | 2013 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/43292 |
| Online Access: | http://hdl.handle.net/11441/43292 https://doi.org/10.1007/s11401-013-0796-6 |
| Access Level: | Open access |
| Keyword: | Navier-Stokes equations Turbulence modeling Finite elements |
| Summary: | 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. |
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