| Autor: |
Chacón Rebollo, Tomás, Domínguez-Delgado, Antonio, Gómez Marmol, Macarena |
| Jazyk: |
English<br />French |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Comptes Rendus. Mécanique, Vol , Iss , Pp 1-13 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
1873-7234 |
| DOI: |
10.5802/crmeca.187 |
| Popis: |
The present work is a continuation of a paper presented by the two first authors in the proceedings of the “Computational Science for the $21^{\rm st}$ century” conference held in Tours in 1997 honouring the $60^{\rm th}$ birthday of Roland Glowinski. It is devoted to the solution of 1D convection-diffusion equations in dominant convection regime situations. In that paper, an “a posteriori” VMS filtering technique was introduced. We present an extension of this technique to nonlinear convection-diffusion equations (a traffic model), providing an efficient method for the resolution of shocks from just the Galerkin solution at targeted times. We also present a residual-based “a posteriori” VMS filtering, that provides quite accurate stable solutions, can be extended to multi-dimensional problems, and can be applied locally. We finally present some numerical tests exhibiting the high accuracy of the obtained solutions. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
|
