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Subgrid modeling for convection-diffusion-reaction in one space dimension using a Haar Multiresolution analysis

J. Hoffman ; Claes Johnson (Institutionen för matematiska vetenskaper) ; S. Bertoluzza
Computer Methods in Applied Mechanics and Engineering (00457825 ). Vol. 194 (2005), 1, p. 19-44.
[Artikel, refereegranskad vetenskaplig]

In this paper we propose and study a subgrid model for linear convection-diffusion-reaction equations with fractal rough coefficients. The subgrid model is based on scale extrapolation of a modeling residual from coarser scales using a computed solution on a finest scale 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 scale less than h/4. We also present error estimates for the modeling error in terms of modeling residuals.

Denna post skapades 2010-01-27.
CPL Pubid: 111042


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