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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary
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A fully implicit wetting-drying method for DG-FEM shallow water models, with an application to the Scheldt Estuary

机译：DG-FEM浅水模型的完全隐式干湿法及其在谢尔德河口的应用

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摘要

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.
机译：解决由于潮汐偏移引起的海岸线起伏是建模河口和沿海地区水流的关键部分。然而，事实证明，保持正的水柱深度和数值稳定性是一项非常困难的任务，需要特别注意。在本文中，我们提出了一种新颖的湿法干燥方法，该方法允许海床位置在干燥区域内波动。该方法在不连续Galerkin有限元模型（DG-FEM）中实现。与文献中的大多数方法不同，我们的方法与完全隐式的时间行进方案兼容，从而显着降低了总体计算成本。而且，保证了全球和本地的大规模保护，这对于长期的环境应用至关重要。另外，还确保了与示踪剂方程的一致性。所提出的方法的性能通过一组测试案例以及在Scheldt河口的实际应用进行了演示。由于隐式时间积分，Scheldt应用程序中的计算成本降低了两个数量级。尽管此处介绍了DG-FEM实施方案，但干湿法适用于多种浅水模型。

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  • 作者

    Tuomas Karna; Benjamin de Brye; Olivier Gourgue; Jonathan Lambrechts; Richard Comblen; Vincent Legat; Eric Deleersnijder;

  • 作者单位

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, G. Lemditre Centre for Earth and Climate Research (TECLIM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium;

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, G. Lemditre Centre for Earth and Climate Research (TECLIM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium;

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, G. Lemditre Centre for Earth and Climate Research (TECLIM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium;

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, G. Lemditre Centre for Earth and Climate Research (TECLIM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium;

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, G. Lemditre Centre for Earth and Climate Research (TECLIM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium;

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, G. Lemditre Centre for Earth and Climate Research (TECLIM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve, Belgium;

    University catholique de Louvain, Institute of Mechanics, Materials and Civil Engineering (IMMC), Avenue George Lemditre 4, B-1348 Louvain-la-Neuve, Belgium,University catholique de Louvain, Earth and Life Institute (ELI), G. Lemditre Centre for Earth and Climate Research (TECUM), Chemin du Cyclotron 2, B-1348 Louvain-la-Neuve. Belmum;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    shallow water equations; wetting-drying; discontinuous calerkin; finite element method; implicit time integration;

    机译：浅水方程;干湿法;不连续小径法;有限元法;隐式时间积分;

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