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Performance of Stabilized Higher-Order Methods for Nonstationary Convection-Diffusion-Reaction Equations

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BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 81))

Abstract

We study the performance properties of a class of stabilized higher-order finite element approximations of convection-diffusion-reaction models with nonlinear reaction mechanisms. Streamline upwind Petrov-Galerkin (SUPG) stabilization together with anisotropic shock-capturing as an additional stabilization in crosswind-direction is used. We show that these techniques reduce spurious oscillations in crosswind-direction and increase the accuracy of simulations.

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References

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Author information

Authors and Affiliations

  1. Department of Mechanical Engineering, Helmut Schmidt University, University of the Federal Armed Forces Hamburg, Holstenhofweg 85, 22043, Hamburg, Germany

    Markus Bause

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  1. Markus Bause
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Correspondence to Markus Bause .

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Editors and Affiliations

  1. , Dept. of Applied Mathematics, University of Zaragoza, María de Luna 3, Zaragoza, 50018, Spain

    Carmelo Clavero

  2. , Dept. of Applied Mathematics, University of Zaragoza, María de Luna 3, Zaragoza, 50018, Spain

    José Luis Gracia

  3. , Dept. of Applied Mathematics, University of Zaragoza, Pedro Cerbuna 12, Zaragoza, 50009, Spain

    Francisco J. Lisbona

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Bause, M. (2011). Performance of Stabilized Higher-Order Methods for Nonstationary Convection-Diffusion-Reaction Equations. In: Clavero, C., Gracia, J., Lisbona, F. (eds) BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods. Lecture Notes in Computational Science and Engineering, vol 81. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19665-2_2

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