Print Email Facebook Twitter An implicit wetting–drying algorithm for the discontinuous Galerkin method Title An implicit wetting–drying algorithm for the discontinuous Galerkin method: Application to the Tonle Sap, Mekong River Basin Author Le, Hoang Anh (Université Catholique de Louvain; Ho Chi Minh City University of Technology) Lambrechts, Jonathan (Université Catholique de Louvain) Ortleb, Sigrun (University of Kassel) Gratiot, Nicolas (Ho Chi Minh City University of Technology; Université Grenoble Alpes) Deleersnijder, E.L.C. (TU Delft Delft Institute of Applied Mathematics; TU Delft Mathematical Physics; Université Catholique de Louvain) Soares-Frazão, Sandra (Université Catholique de Louvain) Date 2020-08-01 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. Subject DG-FEMMekongNumerical modelSLIMTonle Sap lakeWetting–drying To reference this document use: http://resolver.tudelft.nl/uuid:80303be5-51e6-4986-b082-83cb26b8298c DOI https://doi.org/10.1007/s10652-019-09732-7 Embargo date 2021-01-01 ISSN 1567-7419 Source Environmental Fluid Mechanics, 20 (4), 923-951 Part of collection Institutional Repository Document type journal article Rights © 2020 Hoang Anh Le, Jonathan Lambrechts, Sigrun Ortleb, Nicolas Gratiot, E.L.C. Deleersnijder, Sandra Soares-Frazão Files PDF LeEtAl_EFM_Postprint.pdf 5.14 MB Close viewer /islandora/object/uuid:80303be5-51e6-4986-b082-83cb26b8298c/datastream/OBJ/view