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Numerical Methods for Flows pp 131–143Cite as

On the Sensitivity to Model Parameters in a Filter Stabilization Technique for Advection Dominated Advection-Diffusion-Reaction Problems

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Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 132))

Abstract

We consider a filter stabilization technique with a deconvolution-based indicator function for the simulation of advection dominated advection-diffusion-reaction (ADR) problems with under-refined meshes. The proposed technique has been previously applied to the incompressible Navier-Stokes equations and has been successfully validated against experimental data. However, it was found that some key parameters in this approach have a strong impact on the solution. To better understand the role of these parameters, we consider ADR problems, which are simpler than incompressible flow problems. For the implementation of the filter stabilization technique to ADR problems we adopt a three-step algorithm that requires (1) the solution of the given problem on an under-refined mesh, (2) the application of a filter to the computed solution, and (3) a relaxation step. We compare our deconvolution-based approach to classical stabilization methods and test its sensitivity to model parameters on a 2D benchmark problem.

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Acknowledgement

This research has been supported in part by the NSF under grants DMS-1620384.

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Authors and Affiliations

  1. University of Houston, Houston, TX, USA

    Kayla Bicol & Annalisa Quaini

Authors
  1. Kayla Bicol
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  2. Annalisa Quaini
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Corresponding author

Correspondence to Annalisa Quaini .

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Editors and Affiliations

  1. Department of Mechanical Engineering, Eindhoven University of Technology, Eindhoven, Noord-Brabant, The Netherlands

    Harald van Brummelen

  2. Department of Mechanical and Aerospace Engineering, Sapienza University of Rome, Roma, Italy

    Alessandro Corsini

  3. MOX - Department of Mathematics, Politecnico di Milano, Milano, Italy

    Simona Perotto

  4. SISSA mathLab, Mathematics Area, International School for Advanced Studies, Trieste, Italy

    Gianluigi Rozza

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Bicol, K., Quaini, A. (2020). On the Sensitivity to Model Parameters in a Filter Stabilization Technique for Advection Dominated Advection-Diffusion-Reaction Problems. In: van Brummelen, H., Corsini, A., Perotto, S., Rozza, G. (eds) Numerical Methods for Flows. Lecture Notes in Computational Science and Engineering, vol 132. Springer, Cham. https://doi.org/10.1007/978-3-030-30705-9_12

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