Abstract
The accurate simulation of wetting–drying processes in floodplains and coastal zones is a challenge for hydrodynamic modelling, especially for long time simulations. Indeed, dedicated numerical procedures are generally time-consuming, instabilities can occur at the wet/dry front, rapid transition of wet/dry interface and mass conservation are not always ensured. We present the extension of an existing wetting–drying algorithm in two space dimensions and its application to a real case. The wetting–drying algorithm is implemented in Second-generation Louvain-la-Neuve Ice-ocean Model (www.slim-ocean.be), a discontinuous Galerkin finite element model solving the shallow water equations in a fully implicit way. This algorithm consists in applying a threshold value of fluid depth for a thin layer and a blending parameter in order to guarantee positive values of the water depth, while preserving local mass conservation and the well balanced property at wet/dry interfaces. The technique is first validated against standard analytical test cases (Balzano 1, Balzano 3 and Thacker test cases) and is subsquently applied in a realistic domain, the Tonle Sap Lake in the Mekong River Basin, where the water level can vary by about 10 m between the dry and the wet season.
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Acknowledgements
The PhD fellowship of Hoang-Anh Le is provided by the Université catholique de Louvain, Belgium. This research has been conducted under the framework of CARE - Rescif, Vietnam’s initiative with Grant number Tc-TTC-2017-08. Computational resources have been provided by the Consortium des Équipements de Calcul Intensif (CÉCI), funded by the Fonds de la Recherche Scientifique de Belgique (F.R.S.-FNRS) under Grant No. 2.5020.11. E. Deleersnijder and S. Soares-Frazão are honorary research associates with F.R.S.-FNRS.
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Le, HA., Lambrechts, J., Ortleb, S. et al. An implicit wetting–drying algorithm for the discontinuous Galerkin method: application to the Tonle Sap, Mekong River Basin. Environ Fluid Mech 20, 923–951 (2020). https://doi.org/10.1007/s10652-019-09732-7
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DOI: https://doi.org/10.1007/s10652-019-09732-7