Dynamic subgrid modelling for time dependent convection-diffusion-reaction equations with fractal solutions
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
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.
wavelets, dynamic subgrid modelling, a posteriori error estimation, scale
IdentifiersURN: urn:nbn:se:kth:diva-21938DOI: 10.1002/fld.304ISI: 000178366500026OAI: oai:DiVA.org:kth-21938DiVA: diva2:340636
QC 20100525 QC 201111172010-08-102010-08-102011-11-17Bibliographically approved