Solution of Shallow-Water Equations by a Layer-Integrated Hydrostatic Least-Squares Finite-Element Method

Shin Jye Liang, Dong Jiing Doong, Wei Ting Chao

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

A multi-layer hydrostatic shallow-water model was developed in the present study. The layer-integrated hydrostatic nonlinear shallow-water was solved with time integration and the least-squares finite element method. Since the least-squares formulation was employed, the resulting system of equations was symmetric and positive–definite; therefore, it could be solved efficiently by the preconditioned conjugate gradient method. The model was first applied to simulate the von Karman vortex shedding. A well-organized von Karman vortex street was reproduced. The model was then applied to simulate the Kuroshio current-induced Green Island vortex street. A swirling recirculation was formed and followed by several pairs of alternating counter-rotating vortices. The size of the recirculation, as well as the temporal and spatial scale of the vortex shedding, were found to be consistent with ADCP-CDT measurements, X-band radar measurements, and analysis of the satellite images. It was also revealed that Green Island vortices were affected by the upstream Orchid Island vortices.

原文English
文章編號530
期刊Water (Switzerland)
14
發行號4
DOIs
出版狀態Published - 2022 2月 1

All Science Journal Classification (ASJC) codes

  • 地理、規劃與發展
  • 生物化學
  • 海洋科學
  • 水科學與技術

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