Simulation of Ocean Circulation of Dongsha Water Using Non-Hydrostatic Shallow-Water Model
| Autor: | Shin-Jye Liang, Chih-Chieh Young, Nan-Jing Wu, Tai-Wen Hsu, Chi Dai |
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| Rok vydání: | 2020 |
| Předmět: |
lcsh:Hydraulic engineering
010504 meteorology & atmospheric sciences Wave propagation Geography Planning and Development Hydrostatic pressure solitary wave Aquatic Science hydrostatic 01 natural sciences Biochemistry shallow-water equations 010305 fluids & plasmas law.invention lcsh:Water supply for domestic and industrial purposes Sine wave lcsh:TC1-978 law 0103 physical sciences Dispersion (water waves) Shallow water equations non-hydrostatic Physics::Atmospheric and Oceanic Physics Pressure gradient 0105 earth and related environmental sciences Water Science and Technology lcsh:TD201-500 von Karmann vortex street Mechanics Waves and shallow water weakly dispersive ocean circulation Hydrostatic equilibrium Geology |
| Zdroj: | Water, Vol 12, Iss 2832, p 2832 (2020) Water Volume 12 Issue 10 |
| ISSN: | 2073-4441 |
| DOI: | 10.3390/w12102832 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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