Non-hydrostatic versus hydrostatic modelings of free surface flows |
| |
| Affiliation: | 1. MOE Key Laboratory of Hydrodynamics, Shanghai Jiao Tong University, Shanghai 200240, China;2. Key Laboratory of Estuarine and Coastal Engineering, Ministry of Transport, Shanghai 201201, China;3. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;4. Department of Ecohydrology, Institute of Fresh-water Ecology and Inland Fisheries, Berlin 12587, Germany;5. MOE Key Laboratory of Hydrodynamics, Shanghai Jiaotong University, Shanghai 200240, China;6. School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. State Key Laboratory of Autonomous Underwater Vehicle, Harbin Engineering University, Harbin 150001, China;2. Dalian Shipbuilding Industry Engineering and Research Institute Co. Ltd, Dalian 116011, China;3. State Key Laboratory of Autonomous Underwater Vehicle, Harbin Engineering University, Harbin 150001, China;1. Earth and Life Institute, Environmental Sciences, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium;2. Georges Lemaitre Centre for Earth and Climate Research, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium;3. Earth and Life Institute, Environmental Sciences, Université catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium;1. School of Earth and Environmental Sciences/Research Institute of Oceanography, Seoul National University, Seoul 151-742, Republic of Korea;2. Geosystem Research Corporation, Gunpo 435-824, Republic of Korea;3. Colleage of Fisheries and Ocean Sciences, Chonnam National University, Yeosu 550-749, Republic of Korea;4. Korea Institute of Ocean Science and Technology, Ansan 426-744, Republic of Korea |
| |
| Abstract: | The hydrodynamics of geophysical flows in oceanic shelves, estuaries, and rivers are often studied by solving shallow water equations under either hydrostatic or non-hydrostatic assumptions. Although the hydrostatic models are quite accurate and cost-efficient for many practical applications, there are situations when the fully hydrodynamic models are preferred despite a larger cost for computations. The present numerical model is implemented by the finite volume method (FVM) based on unstructured grids. The model can be efficiently switched between hydrostatic and non-hydrostatic modules. The case study shows that for waves pro-pagating along the bar a criterion with respect to the shallowness alone, the ratio between the depth and the wave length, is insufficient to warrant the performance of shallow flow equations with a hydrostatic approach and the nonlinearity in wave dynamics can be better accounted with a hydrodynamic approach. Besides the prediction of the flows over complex bathymetries, for instance, over asymmetrical dunes, by a hydrodynamic approach is shown to be superior in accuracy to the hydrostatic simulation. |
| |
| Keywords: | hydrostatic non-hydrostatic TVD scheme non-orthogonal grid |
| 本文献已被 CNKI ScienceDirect 等数据库收录！ |
|
