|Title:||Solution of Shallow-Water Equations by a Layer-Integrated Hydrostatic Least-Squares Finite-Element Method||Authors:||Liang, Shin-Jye
|Keywords:||Green Island vortex;hydrostatic;least-squares finite element method;multi-layer;symmetric and positive-definite;von Karman vortex street||Issue Date:||1-Feb-2022||Publisher:||MDPI||Journal Volume:||14||Journal Issue:||4||Source:||WATER||Abstract:||
A multi-layer hydrostatic shallow-water model was developed in the present study. The layer-integrated hydrostatic nonlinear shallow-water was solved with theta 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.
|Appears in Collections:||海洋工程科技中心|
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