Subgrid modeling for convection-diffusion-reaction in one space dimension using a Haar Multiresolution analysis
Artikel i vetenskaplig tidskrift, 2005

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.


J. Hoffman

Courant Institute of Mathematical Sciences

Chalmers University of Technology

Claes Johnson

Chalmers, Matematiska vetenskaper

Göteborgs universitet

S. Bertoluzza

Istituto Di Matematica Applicata E Tecnologie Informatiche, Pavia

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 194 19-44