A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves
| Autor: | Yin-Ming Su, Shin-Jye Liang, Tai-Wen Hsu, Nan-Jing Wu, Shih Chun Hsiao |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
shallow water equations
Water supply for domestic and industrial purposes Geography Planning and Development Process (computing) Hydraulic engineering Aquatic Science Biochemistry Stability (probability) Waves and shallow water Benchmark (surveying) Applied mathematics meshless method Dynamic pressure TC1-978 Focus (optics) TD201-500 Shallow water equations non-hydrostatic weighted-least-squares Water Science and Technology Physical quantity Mathematics |
| Zdroj: | Water Volume 13 Issue 22 Water, Vol 13, Iss 3195, p 3195 (2021) |
| ISSN: | 2073-4441 |
| DOI: | 10.3390/w13223195 |
| Popis: | In this paper, an explicit time marching procedure for solving the non-hydrostatic shallow water equation (SWE) problems is developed. The procedure includes a process of prediction and several iterations of correction. In these processes, it is essential to accurately calculate the spatial derives of the physical quantities such as the temporal water depth, the average velocities in the horizontal and vertical directions, and the dynamic pressure at the bottom. The weighted-least-squares (WLS) meshless method is employed to calculate these spatial derivatives. Though the non-hydrostatic shallow water equations are two dimensional, on the focus of presenting this new time marching approach, we just use one dimensional benchmark problems to validate and demonstrate the stability and accuracy of the present model. Good agreements are found in the comparing the present numerical results with analytic solutions, experiment data, or other numerical results. |
| Databáze: | OpenAIRE |
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