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An implicit wetting–drying algorithm for the discontinuous Galerkin method: application to the Tonle Sap, Mekong River Basin
Environmental Fluid Mechanics ( IF 2.2 ) Pub Date : 2020-01-08 , DOI: 10.1007/s10652-019-09732-7
Hoang-Anh Le , Jonathan Lambrechts , Sigrun Ortleb , Nicolas Gratiot , Eric Deleersnijder , Sandra Soares-Frazão

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.

中文翻译:

不连续Galerkin方法的隐式干湿算法:在湄公河流域洞里萨湖中的应用

洪泛区和沿海地区的干湿过程的精确模拟对于流体力学建模(尤其是长时间模拟)而言是一个挑战。实际上,专用的数值程序通常很耗时,在湿/干前沿可能会发生不稳定,湿/干界面的快速过渡和质量守恒无法始终得到保证。我们介绍了现有的干湿算法在两个空间维度上的扩展及其在实际案例中的应用。干湿算法在第二代Louvain-la-Neuve Ice-ocean模型(www.slim-ocean.be)中实现,这是一种不连续的Galerkin有限元模型,可以完全隐式地求解浅水方程。该算法包括为薄层应用流体深度的阈值和混合参数,以确保水深为正值,同时保留局部质量守恒和湿/干界面处的良好平衡特性。该技术首先针对标准分析测试案例(Balzano 1,Balzano 3和Thacker测试案例)进行了验证,随后被应用于现实领域,即湄公河流域的洞里萨湖,那里的水位变化约10 m在干燥和潮湿的季节之间。
更新日期:2020-01-08
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