http://scholars.ntou.edu.tw/handle/123456789/10713
Title: | Simulation of Ocean Circulation of Dongsha Water Using Non-Hydrostatic Shallow-Water Model | Authors: | Shin-Jye Liang Chih-Chieh Young Chi Dai Nan-Jing Wu Tai-Wen Hsu |
Keywords: | hydrostatic;non-hydrostatic;ocean circulation;shallow-water equations;solitary wave;von Karmann vortex street;street;weakly dispersive | Issue Date: | Oct-2020 | Publisher: | MDPI | Journal Volume: | 12 | Journal Issue: | 10 | Source: | Water | Abstract: | A two-dimensional non-hydrostatic shallow-water model for weakly dispersive waves is developed using the least-squares finite-element method. The model is based on the depth-averaged, nonlinear and non-hydrostatic shallow-water equations. The non-hydrostatic shallow-water equations are solved with the semi-implicit (predictor-corrector) method and least-squares finite-element method. In the predictor step, hydrostatic pressure at the previous step is used as an initial guess and an intermediate velocity field is calculated. In the corrector step, a Poisson equation for the non-hydrostatic pressure is solved and the final velocity and free-surface elevation is corrected for the new time step. The non-hydrostatic shallow-water model is verified and applied to both wave and flow driven fluid flows, including solitary wave propagation in a channel, progressive sinusoidal waves propagation over a submerged bar, von Karmann vortex street, and ocean circulations of Dongsha Atolls. It is found hydrostatic shallow-water model is efficient and accurate for shallow water flows. Non-hydrostatic shallow-water model requires 1.5 to 3.0 more cpu time than hydrostatic shallow-water model for the same simulation. Model simulations reveal that non-hydrostatic pressure gradients could affect the velocity field and free-surface significantly in case where nonlinearity and dispersion are important during the course of wave propagation |
URI: | http://scholars.ntou.edu.tw/handle/123456789/10713 | DOI: | 10.3390/w12102832 |
Appears in Collections: | 海洋環境資訊系 |
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