Welkom op het expertplatform!
Dit platform verschaft informatie en kennis omtrent de WL expertisedomeinen 'hydraulica en sediment', 'havens en waterwegen', 'waterbouwkundige constructies', 'waterbeheer' en 'kustbescherming' - gaande van WL medewerkers met hun expertise, het curriculum van deze instelling, tot publicaties, projecten, data (op termijn) en evenementen waarin het WL betrokken is.
Het WL onderschrijft het belang van "open access" voor de ontsluiting van haar onderzoeksresultaten. Lees er meer over in ons openaccessbeleid.
A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines
Rauwoens, P.; Troch, P.; Vierendeels, J. (2015). A geometric multigrid solver for the free-surface equation in environmental models featuring irregular coastlines. Journal of Computational and Applied Mathematics 289: 22-36. https://dx.doi.org/10.1016/j.cam.2015.03.029
In: Journal of Computational and Applied Mathematics. Elsevier Science: Amsterdam. ISSN 0377-0427; e-ISSN 1879-1778
|  |
| Trefwoord |
|
| Author keywords |
Multigrid; Helmholz equation; Poisson equation; Shallow water flow; Stair-case boundary; Small island problem |
| Auteurs | | Top |
- Rauwoens, P.
- Troch, P.
- Vierendeels, J.
|
|
|
| Abstract |
A recently developed multigrid method (Botto, 2013), based on the concept of volume fraction, has been tested for the inversion of the Helmholz-type equation for the free surface in the environmental public domain code COHERENS. The volume fraction concept is particularly interesting for coarse grid cells that are agglomerated from both dry and wet fine grid cells at irregular coastlines. At these locations, modifying the prolongation operator and the coarse grid discretization, using the volume fraction, results in better convergence. However, as convergence deteriorates in the case of small, elongated islands that tend to disappear by the multigrid coarsening procedure, a correction is proposed, yielding good convergence rates, irrespective of the presence of small or large islands. The method is tested extensively for the inversion of the academic Poisson equation. Larger test cases, solving the Helmholz-type equation, prove the applicability for real-life applications of environmental flows. |
IMIS is ontwikkeld en wordt gehost door het VLIZ.
