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A 2D SWE meshless model with fictitious water level at dry nodes
Journal of Hydraulic Research ( IF 2.3 ) Pub Date : 2021-04-06 , DOI: 10.1080/00221686.2020.1866691
Tai-Wen Hsu, Shin-Jye Liang, Nan-Jing Wu

In this study, a two-dimensional shallow-water-equation numerical model is developed for simulating free surface water flows with internal moving wet/dry front boundaries. It is based on the Eulerian aspect and meshless approach. The predictor-corrector process is used for the time marching. The spatial derivatives of physical quantities are computed using the local polynomial approximation with the weighted-least-squares approach. A formula for specifying the fictitious water level, which does not exist physically, at dry nodes is proposed. This is the main novelty of the present study and it significantly reduces computation time compared with the authors’ previous work. Four dam break test cases are employed to validate the capability of the present model.



中文翻译:

在干燥节点具有虚构水位的 2D SWE 无网格模型

在这项研究中,开发了一个二维浅水方程数值模型,用于模拟具有内部移动湿/干锋边界的自由地表水流。它基于欧拉方面和无网格方法。预测器-校正器过程用于时间推进。使用局部多项式近似和加权最小二乘法计算物理量的空间导数。提出了一种用于指定在干燥节点处物理上不存在的虚拟水位的公式。这是本研究的主要新颖之处,与作者以前的工作相比,它显着减少了计算时间。四个溃坝测试案例被用来验证本模型的能力。

更新日期:2021-04-06
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