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Subgrid modeling for convection-diffusion-reaction in one space dimension using a Haar Multiresolution analysis
Mathematics, Chalmers.ORCID iD: 0000-0003-4256-0463
(Department of Computational Mathematics, Chalmers University)
2005 (English)In: Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, E-ISSN 1879-2138, Vol. 194, no 1, 19-44 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we propose and study a subgrid model for linear convection-diffusion-reaction equations with fractal rough coefficients. The subgrid model is based on scale extrapolation of a modeling residual from coarser scales using a computed solution on a finest scale as reference. We show in experiments that a solution with subgrid model on a scale h in most cases corresponds to a solution without subgrid model on a scale less than h/4. We also present error estimates for the modeling error in terms of modeling residuals.

Place, publisher, year, edition, pages
2005. Vol. 194, no 1, 19-44 p.
Keyword [en]
convection-diffusion-reaction, dynamic subgrid modeling, Haar Multiresolution analysis, modeling errors
National Category
URN: urn:nbn:se:kth:diva-14426DOI: 10.1016/j.cma.2003.08.016ISI: 000225633700002OAI: diva2:332467
QC 20100525 QC 20111117Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2011-11-17Bibliographically approved

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Hoffman, JohanJohnson, Claes
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