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Subgrid Modeling for Convection-Diffusion-Reaction in Two Space Dimensions Using a Haar Multiresolution Analysis
KTH, Skolan för datavetenskap och kommunikation (CSC), Numerisk analys, NA.ORCID-id: 0000-0003-4256-0463
2003 (engelsk)Inngår i: Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, Vol. 13, nr 10, s. 1515-1536Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2003. Vol. 13, nr 10, s. 1515-1536
Emneord [en]
Dynamic subgrid modeling; Haar multiresolution analysis; convection-diffusion-reaction; scale extrapolation
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-40886DOI: 10.1142/S021820250300301XISI: 000186423800007OAI: oai:DiVA.org:kth-40886DiVA, id: diva2:442637
Merknad
QC 20110930Tilgjengelig fra: 2011-09-22 Laget: 2011-09-22 Sist oppdatert: 2017-12-08bibliografisk kontrollert

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