A weighted-least-squares meshless model for non-hydrostatic shallow water waves

Nan Jing Wu, Yin Ming Su, Shih Chun Hsiao, Shin Jye Liang, Tai Wen Hsu

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Article number3195
JournalWater (Switzerland)
Volume13
Issue number22
DOIs
Publication statusPublished - 2021 Nov 2

All Science Journal Classification (ASJC) codes

  • Geography, Planning and Development
  • Biochemistry
  • Aquatic Science
  • Water Science and Technology

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