Abstract
The streamline-upwind/Petrov-Galerkin (SUPG) formulation is one of the most widely used stabilized methods in finite element computation of compressible flows. It includes a stabilization parameter that is known as "τ". Typically the SUPG formulation is used in combination with a shock-capturing term that provides additional stability near the shock fronts. The definition of the shock-capturing term includes a shock-capturing parameter. In this paper, we describe, for the finite element formulation of compressible flows based on conservation variables, new ways for determining the τ and the shock-capturing parameter. The new definitions for the shock-capturing parameter are much simpler than the one based on the entropy variables, involve less operations in calculating the shock-capturing term, and yield better shock quality in the test computations.
| Original language | English |
|---|---|
| Pages (from-to) | 1621-1632 |
| Number of pages | 12 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 195 |
| Issue number | 13-16 |
| DOIs | |
| Publication status | Published - 2006 Feb 15 |
| Externally published | Yes |
Keywords
- Compressible flows
- Finite element formulation
- SUPG stabilization
- Shock-capturing parameter
- Stabilization parameters
ASJC Scopus subject areas
- Computational Mechanics
- Mechanics of Materials
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science Applications