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Subgrid Modeling for Convection-Diffusion-Reaction in Two Space Dimensions Using a Haar Multiresolution Analysis
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
2003 (English)In: Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, Vol. 13, no 10, 1515-1536 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we study a subgrid model based on extrapolation of a modeling residual, in the case of a linear convection-diffusion-reaction problem Lu=f in two dimensions. The solution u to the exact problem satisfies an equation Lhu=[f]h+Fh(u), where Lh is the operator used in the computation on the finest computational scale h, [f]h is the approximation of f on the scale h, and Fh(u) is a modeling residual, which needs to be modeled. The subgrid modeling problem is to compute approximations of Fh(u) without using finer scales than h. In this study we model Fh(u) by extrapolation from coarser scales than h, where Fh(u) is directly computed with the finest scale h 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 mesh of size less than h/4.

Place, publisher, year, edition, pages
2003. Vol. 13, no 10, 1515-1536 p.
Keyword [en]
Dynamic subgrid modeling; Haar multiresolution analysis; convection-diffusion-reaction; scale extrapolation
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-40886DOI: 10.1142/S021820250300301XISI: 000186423800007OAI: diva2:442637
QC 20110930Available from: 2011-09-22 Created: 2011-09-22 Last updated: 2011-09-30Bibliographically approved

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Hoffman, Johan
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Numerical Analysis, NA
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