Streamline Design of Stability Parameters for Advection–Diffusion Problems
✍ Scribed by Isaac Harari; Leopold P. Franca; Saulo P. Oliveira
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 271 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0021-9991
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✦ Synopsis
The dependence of the computation of advective-diffusive transport phenomena on the orientation of the mesh with respect to the flow direction is analyzed. Poor performance of the classical Galerkin finite-element method in the convectiondominated regime is alleviated by stabilization. We propose definitions of the stability parameter that rationally incorporate the flow direction. Numerical tests compare the performance of the proposed methods with established techniques.
📜 SIMILAR VOLUMES
In a previous paper a general procedure for deriving stabilized ®nite element schemes for advective type problems based on invoking higher order balance laws over ®nite size domains was presented. This provides an expression for the element stabilization parameter in terms of the solution residual a
A procedure to derive stabilized space-time finite element methods for advective -diffusive problems is presented. The starting point is the stabilized balance equation for the transient case derived by On ˜ate [Comput. Methods Appl. Mech. Eng., 151, 233-267 (1998)] using a finite increment calculus