Residual Based VMS Subgrid Modeling for Vortex Flows
Artikel i vetenskaplig tidskrift, 2009

This paper presents a residual based subgrid modeling approach for Large Eddy Simulations (LES) based on the variational multiscale method as a cure for the problem of preservation of vortices in numerical flow simulation. This approach combines a splitting of the non-linear term in the Navier–Stokes equations into strain and vorticity with a residual based modeling of the subgrid problems. The benefit is that certain driving phenomena, normally not present in subgrid modeling, e.g. vortex stretching, can be seen in the equations. Here, we focus on two of the subgrid terms arising from the subgrid scale problem. The effect of the two terms are illustrated in an LES of a three dimensional flow around a wing where the main feature is the formation and preservation of a tip vortex, an important phenomenon in many aerodynamic and hydrodynamical applications. We see that the addition of the new subgrid terms correctly counteracts the dissipative effect, arising from numerics and turbulence modeling, on the vortex and thus strongly improves prediction of the tip vortex.

Subgrid modeling

Finite element

Navier–Stokes equations

Residual based turbulence modeling

Variational multiscale

Författare

Rickard Bensow

Hydromekanik

Mats G Larson

Umea universitet

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 199 802-809

Ämneskategorier

Beräkningsmatematik

Strömningsmekanik och akustik

DOI

10.1016/j.cma.2009.08.004