2013/02/12 by Tomas Chacon Rebello, Rebello, Tomas Chacon, Roger Lewandowski +1
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph)
paper · doi:10.48550/arxiv.1302.2753
openalex publication_date 2013/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 \\cal 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 (\vvh, ph)h>0 that converges to a solution of the steady state Navier-Stokes Equation with Navier BC.