|
|
| |
| A Variational Finite Element Model for Large-Eddy Simulations of Turbulent Flows |
| |
Citation： |
Tomas Chacon REBOLLO,Roger LEWANDOWSKI.A Variational Finite Element Model for Large-Eddy Simulations of Turbulent Flows[J].Chinese Annals of Mathematics B,2013,34(5):667~682 |
| Page view： 1655
Net amount： 1303 |
Authors： |
Tomas Chacon REBOLLO; Roger LEWANDOWSKI; |
Foundation： |
Spanish Government and European Union FEDER Grant (No.MTM2009-07719). |
|
|
| Abstract： |
The authors 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 (or BC for short) is replaced by a Navier (BC)
at the computational wall. Considering the steady state case, the authors show that the
variational finite element model they have introduced, has a solution (vh, ph)h>0 that
converges to a solution of the steady state Navier-Stokes equation with Navier BC. |
Keywords： |
Navier-Stokes equations, Turbulence modeling, Finite elements |
Classification： |
76D05, 76F65, 65M60 |
|
|
Download PDF Full-Text
|
|
|
|
