Streamline Design of Stability Parameters for Advection-Diffusion Problems

Isaac Harari; Leopold P. Franca; Saulo P. Oliveira

doi:10.1006/jcph.2001.6777

Streamline Design of Stability Parameters for Advection-Diffusion Problems

Isaac Harari^*, Leopold P. Franca, Saulo P. Oliveira

^*Corresponding author for this work

School of Mechanical Engineering

University of Colorado Denver

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

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 convection-dominated 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.

Original language	English
Pages (from-to)	115-131
Number of pages	17
Journal	Journal of Computational Physics
Volume	171
Issue number	1
DOIs	https://doi.org/10.1006/jcph.2001.6777
State	Published - 20 Jul 2001

Keywords

Advection-diffusion
Stability parameter
Stabilized method

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10.1006/jcph.2001.6777

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KW - Stabilized method

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Streamline Design of Stability Parameters for Advection-Diffusion Problems

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Keywords

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