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.
| one publication added to basket [110833] |
High-order h-adaptive discontinuous Galerkin methods for ocean modelling
Bernard, P.-E.; Chevaugeon, N.; Legat, V.; Deleersnijder, E.; Remacle, J.-F. (2007). High-order h-adaptive discontinuous Galerkin methods for ocean modelling. Ocean Dynamics 57(2): 109-121. dx.doi.org/10.1007/s10236-006-0093-y
In: Ocean Dynamics. Springer-Verlag: Berlin; Heidelberg; New York. ISSN 1616-7341; e-ISSN 1616-7228
|  |
| Trefwoorden |
Equations
Modelling
Marien/Kust |
| Author keywords |
shallow water equations H-adaptivity; discontinuous Galerkin; a posteriori error estimation |
| Auteurs | | Top |
- Bernard, P.-E.
- Chevaugeon, N.
- Legat, V.
|
- Deleersnijder, E.
- Remacle, J.-F.
|
|
| Abstract |
In this paper, we present an h-adaptive discontinuous Galerkin formulation of the shallow water equations. For a discontinuous Galerkin scheme using polynomials up to order p, the spatial error of discretization of the method can be shown to be of the order of hp+1, where h is the mesh spacing. It can be shown by rigorous error analysis that the discontinuous Galerkin method discretization error can be related to the amplitude of the inter-element jumps. Therefore, we use the information contained in jumps to build error metrics and size field. Results are presented for ocean modelling problems. A first experiment shows that the theoretical convergence rate is reached with the discontinuous Galerkin high-order h-adaptive method applied to the Stommel wind-driven gyre. A second experiment shows the propagation of an anticyclonic eddy in the Gulf of Mexico. |
IMIS is ontwikkeld en wordt gehost door het VLIZ.
