IMIS | Lifewatch regional portal

You are here


[ report an error in this record ]basket (0): add | show Print this page

A fully implicit wetting–drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary
Kärnä, T.; de Brye, B.; Gourgue, O.; Lambrechts, J.; Comblen, R.; Legat, V.; Deleersnijder, E. (2011). A fully implicit wetting–drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary. Comput. methods appl. mech. eng. 200(5-8): 509-524.
In: Computer Methods in Applied Mechanics and Engineering. Elsevier: Amsterdam. ISSN 0045-7825; e-ISSN 1879-2138, more
Peer reviewed article  

Available in  Authors 
    VLIZ: Open Repository 280273 [ OMA ]

Author keywords
    Shallow water equations; Wetting–drying; Discontinuous Galerkin; Finite element method; Implicit time integration

Authors  Top 

    Resolving the shoreline undulation due to tidal excursion is a crucial part of modelling water flow in estuaries and coastal areas. Nevertheless, maintaining positive water column depth and numerical stability has proved out to be a very difficult task that requires special attention. In this paper we propose a novel wetting–drying method in which the position of the sea bed is allowed to fluctuate in drying areas. The method is implemented in a Discontinuous Galerkin Finite Element Model (DG-FEM). Unlike most methods in the literature our method is compatible with fully implicit time-marching schemes, thus reducing the overall computational cost significantly. Moreover, global and local mass conservation is guaranteed which is crucial for long-term environmental applications. In addition consistency with tracer equation is also ensured. The performance of the proposed method is demonstrated with a set of test cases as well as a real-world application to the Scheldt Estuary. Due to the implicit time integration, the computational cost in the Scheldt application is reduced by two orders of magnitude. Although a DG-FEM implementation is presented here, the wetting–drying method is applicable to a wide variety of shallow water models.

All data in the Integrated Marine Information System (IMIS) is subject to the VLIZ privacy policy Top | Authors