Szczegóły publikacji
Opis bibliograficzny
Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems / M. ŁOŚ, I. Muga, J. Muñoz-Matute, M. PASZYŃSKI // Computers and Mathematics with Applications ; ISSN 0898-1221. — 2021 — vol. 95 art. no. 580, s. 200-214. — Bibliogr. s. 214, Abstr. — Publikacja dostępna online od: 2020-12-05
Autorzy (4)
- AGHŁoś Marcin Mateusz
- Muga Ignacio
- Muñoz-Matute Judit
- AGHPaszyński Maciej
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 134668 |
|---|---|
| Data dodania do BaDAP | 2021-06-22 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.camwa.2020.11.013 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Computers & Mathematics with Applications |
Abstract
We show that it is possible to obtain a linear computational cost FEM-based solver for non-stationary Stokes and Navier–Stokes equations. Our method employs a technique developed by Guermond and Minev (2011), which consists of singular perturbation plus a splitting scheme. While the time-integration schemes are implicit, we use finite elements to discretize the spatial counterparts. At each time-step, we solve a PDE having weak-derivatives in one direction only (which allows for the linear computational cost), at the expense of handling strong second-order derivatives of the previous time step solution, on the right-hand side of these PDEs. This motivates the use of smooth functions such as B-splines. For high Reynolds numbers, some of these PDEs become unstable. To deal robustly with these instabilities, we propose to use a residual minimization technique. We test our method on problems having manufactured solutions, as well as on the cavity flow problem.
