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Dynamic subgrid modeling for time dependent convection-diffusion-reaction equations with fractal solutions
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA (closed 2012-06-30).ORCID iD: 0000-0003-4256-0463
2001 (English)Conference paper (Refereed)
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
Keyword [en]
wavelets; dynamic subgrid modelling; a posteriori error estimation
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-58727OAI: diva2:473853
Conference Proceedings of ICFD 2001: International Conference for NUmercial Methods in Fluids

NR 20140805

Available from: 2012-01-08 Created: 2012-01-08 Last updated: 2016-05-30Bibliographically approved

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Hoffman, Johan
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Numerical Analysis, NA (closed 2012-06-30)
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