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Dynamic subgrid modelling for time dependent convection-diffusion-reaction equations with fractal solutions
Chalmers, Mathematics.ORCID iD: 0000-0003-4256-0463
2002 (English)In: International Journal for Numerical Methods in Fluids, ISSN 0271-2091, E-ISSN 1097-0363, Vol. 40, no 3-4, 583-592 p.Article in journal (Refereed) Published
Abstract [en]

A dynamic scale similarity model is proposed. The subgrid model is tested for model problems related to time dependent non-linear convection-diffusion-reaction systems with fractal solutions. The error of an approximate solution with subgrid model on a scale h is typically smaller than that of a solution without subgrid model on the scale h/2. We also consider the problem of a posteriori error estimation for fractal solutions, splitting the total computational error into a numerical error, related to the discretization of the continuous equations, and a modelling error, taking into account the quality of the subgrid model.

Place, publisher, year, edition, pages
2002. Vol. 40, no 3-4, 583-592 p.
Keyword [en]
wavelets, dynamic subgrid modelling, a posteriori error estimation, scale
National Category
URN: urn:nbn:se:kth:diva-21938DOI: 10.1002/fld.304ISI: 000178366500026OAI: diva2:340636
QC 20100525 QC 20111117Available from: 2010-08-10 Created: 2010-08-10 Last updated: 2011-11-17Bibliographically approved

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Hoffman, Johan
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