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 de
Computation of the stabilization parameter for the finite element solution of advective–diffusive problems
✍ Scribed by Eugenio Oñate; Julio García; Sergio Idelsohn
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 873 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0271-2091
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✦ Synopsis
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 and its ®rst derivatives in a kind of iterative or adaptative manner. Details of the application of this procedure to 1D and 2D advective± diffusive problems are given. Some examples of applications showing the potential of the new approach are presented.
📜 SIMILAR VOLUMES
When transport is advection-dominated, classical numerical methods introduce excessive artificial diffusion and spurious oscillations. Special methods are required to overcome these phenomena. To solve the advectiondiffusion equation, a numerical method is developed using a discontinuous finite elem