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A flux-limiting wetting–drying method for finite-element shallow-water models, with application to the Scheldt Estuary
Gourgue, O.; Comblen, R.; Lambrechts, J.; Kärnä, T.; Legat, V.; Deleersnijder, E. (2009). A flux-limiting wetting–drying method for finite-element shallow-water models, with application to the Scheldt Estuary. Adv. Water Resour. 32(12): 1726-1739. dx.doi.org/10.1016/j.advwatres.2009.09.005
In: Advances in Water Resources. Elsevier: Southampton. ISSN 0309-1708, more
Peer reviewed article  

Available in  Authors 
    VLIZ: Open Repository 280270 [ OMA ]

Keyword
    Marine
Author keywords
    Wetting–drying; Tidal flat; Estuary; Scheldt; Finite element; Discontinuous Galerkin

Authors  Top 

Abstract
    We present a flux-limiting wetting–drying approach for finite-element discretizations of the shallow-water equations using discontinuous linear elements for the elevation. The key ingredient of the method is the use of limiters for generalized nodal fluxes. This method is implemented into the Second-generation Louvain-la-Neuve Ice-ocean Model (SLIM), and is verified against standard test cases. The method is further applied to the wetting and drying of sand banks in the Scheldt Estuary, which is located in northern Belgium and the southern Netherlands. The results obtained for both the benchmarks and the realistic problem illustrate the accuracy of the method in describing the hydrodynamics in the vicinity of dry areas. In particular, the method strictly conserves mass, and there is no transport through dry areas.

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