| A Hybrid Finite-Volume and Finite Difference Scheme for Depth-Integrated Non-Hydrostatic Model |
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| 作者姓名： | YIN Jing SUN Jia-wen WANG Xing-gang YU Yong-hai SUN Zhao-chen |
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| 作者单位： | National Marine Environmental Monitoring Center, Dalian 116023, China;Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China,National Marine Environmental Monitoring Center, Dalian 116023, China;Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China,Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;Nanjing Hydraulic Research Institute, Nanjing 210029, China,National Marine Environmental Monitoring Center, Dalian 116023, China,Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China |
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| 基金项目： | The work was financially supported by the State Ocean Administration People’s Republic of China (Grant No. 201405025), and the Key Laboratory for Sea Area Management Technology (SOA) (Grant No. 201603). |
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| 摘 要： | A depth-integrated, non-hydrostatic model with hybrid finite difference and finite volume numerical algorithm is proposed in this paper. By utilizing a fraction step method, the governing equations are decomposed into hydrostatic and non-hydrostatic parts. The first part is solved by using the finite volume conservative discretization method, whilst the latter is considered by solving discretized Poisson-type equations with the finite difference method. The second-order accuracy, both in time and space, of the finite volume scheme is achieved by using an explicit predictor-correction step and linear construction of variable state in cells. The fluxes across the cell faces are computed in a Godunov-based manner by using MUSTA scheme. Slope and flux limiting technique is used to equip the algorithm with total variation dimensioning property for shock capturing purpose. Wave breaking is treated as a shock by switching off the non-hydrostatic pressure in the steep wave front locally. The model deals with moving wet/dry front in a simple way. Numerical experiments are conducted to verify the proposed model.
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| 关 键 词： | non-hydrostatic model shock-capturing wave breaking finite volume method MUSTA scheme |
| 收稿时间： | 2016/3/25 0:00:00 |
| 修稿时间： | 2016/6/17 0:00:00 |
A Hybrid Finite-Volume and Finite Difference Scheme for Depth-Integrated Non-Hydrostatic Model |
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| YIN Jing,SUN Jia-wen,WANG Xing-gang,YU Yong-hai,SUN Zhao-chen.A Hybrid Finite-Volume and Finite Difference Scheme for Depth-Integrated Non-Hydrostatic Model[J].Ocean Engineering,2017,31(3):261-271. |
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| Authors: | YIN Jing SUN Jia-wen WANG Xing-gang YU Yong-hai and SUN Zhao-chen |
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| Institution: | National Marine Environmental Monitoring Center, Dalian 116023, China;Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China,National Marine Environmental Monitoring Center, Dalian 116023, China;Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China,Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;Nanjing Hydraulic Research Institute, Nanjing 210029, China,National Marine Environmental Monitoring Center, Dalian 116023, China and Key State Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | A depth-integrated, non-hydrostatic model with hybrid finite difference and finite volume numerical algorithm is proposed in this paper. By utilizing a fraction step method, the governing equations are decomposed into hydrostatic and non-hydrostatic parts. The first part is solved by using the finite volume conservative discretization method, whilst the latter is considered by solving discretized Poisson-type equations with the finite difference method. The second-order accuracy, both in time and space, of the finite volume scheme is achieved by using an explicit predictor-correction step and linear construction of variable state in cells. The fluxes across the cell faces are computed in a Godunov-based manner by using MUSTA scheme. Slope and flux limiting technique is used to equip the algorithm with total variation dimensioning property for shock capturing purpose. Wave breaking is treated as a shock by switching off the non-hydrostatic pressure in the steep wave front locally. The model deals with moving wet/dry front in a simple way. Numerical experiments are conducted to verify the proposed model. |
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| Keywords: | non-hydrostatic model shock-capturing wave breaking finite volume method MUSTA scheme |
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