| Author | A.E. Tejada-Martinez & K.E. Jansen |
|---|---|
| Title | On the interaction between dynamic model dissipation and numerical dissipation due to streamline upwind/Petrov-Galerkin stabilization |
| Year | 2005 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 194 |
| Pages | 1225-1248 |
| Abstract | Abstract Here we investigate the roles of physical and numerical subgrid-scale modeling. The subgrid-scales are represented by a physical large-eddy simulation model, namely the popular dynamic Smagorinsky model (or simply dynamic model), as well as by a numerical model in the form of the well-known streamline upwind/Petrov–Galerkin stabilization for finite element discretizations of advection–diffusion systems. The latter is not a physical model, as its purpose is to provide sufficient algorithmic dissipation for a stable, consistent, and convergent numerical method. We study the interaction between the physical and numerical models by analyzing energy dissipation associated to the two. Based on this study, a modification to the dynamic model is proposed as a way to discount the numerical method_s algorithmic dissipation from the total subgrid-scale dissipation. The modified dynamic model is shown to be successful in simulations of turbulent channel flow. _ 2004 Elsevier B.V. All rights reserved. |
| PDF File |  Download |