This work presents a general framework for approximating advection-diffusion equations based on principles of scale separation. A two-level decomposition of the discrete approximation space is performed and the local problem is modified to capture both local and nonlocal discontinuities. The new fea
Modeling subgrid viscosity for advection–diffusion problems
✍ Scribed by F. Brezzi; P. Houston; D. Marini; E. Süli
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 390 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0045-7825
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✦ Synopsis
We analyse the eect of the subgrid viscosity on a ®nite element discretisation, with piecewise linear elements, of a linear advection± diffusion scalar equation. We point out the importance of a proper tune-up of the viscosity coef®cient, and we propose a heuristic method for obtaining reasonable values for it. The extension to more general problems is then hinted in the last section. Ó 2000 Elsevier Science B.V. All rights reserved. www.elsevier.com/locate/cma Comput. Methods Appl. Mech. Engrg. 190 (2000) 1601±1610 * Corresponding author. 1 Paul Houston and Endre S uli acknowledge the ®nancial support of the EPSRC (Grant GR/K76221).
📜 SIMILAR VOLUMES
The exact variational multiscale (VMS) and the subgrid scale (SGS) methods have been developed for the advection-reaction and the advection±diusion-reaction equations. From the element Green's function, approximate intrinsic time scale parameters have been derived for these cases and are shown to be