Variational subgrid scale formulations for the advection–diffusion-reaction equation

✍ Scribed by Guillermo Hauke; Antonio Garcı́a-Olivares

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 730 KB
• Volume: 190
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00262-6

✦ Synopsis

The exact variational multiscale (VMS) and the subgrid scale (SGS) methods have been developed for the advection-reaction and the advection±diusion-reaction equations. From the element Green's function, approximate intrinsic time scale parameters have been derived for these cases and are shown to be similar to other expressions obtained in the literature out of the maximum principle and convergence/error analysis. The methods have been compared with typical stabilized ®nite element methods. As expected, the VMS is nodally exact for the one-dimensional case.