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WANG Zhili,GENG Yanfen. 2013. A three-dimensional semi-implicit unstructured grid finite volume ocean model. Acta Oceanologica Sinica, 32(1):68-78
A three-dimensional semi-implicit unstructured grid finite volume ocean model
A three-dimensional semi-implicit unstructured grid finite volume ocean model
Received:August 10, 2011  Revised:April 13, 2012
DOI:10.1007/s13131-013-0268-6
Key words:three-dimensional model  finite volume  unstructured grid  semi-implicit  z-level grid
中文关键词:  three-dimensional model  finite volume  unstructured grid  semi-implicit  z-level grid
基金项目:The Major State Basic Research Program of China under contract No. 2012CB417002; the National Natural Science Foundation of China under contract Nos 50909065 and 51109039.
Author NameAffiliationE-mail
WANG Zhili State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Nanjing Hydraulic Research Institute, Nanjing 210024, China  
GENG Yanfen School of Transportation, Southeast University, Nanjing 210096, China yfgeng@seu.edu.cn 
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Abstract:
      A new three-dimensional semi-implicit finite-volume ocean model has been developed for simulating the coastal ocean circulation, which is based on the staggered C-unstructured non-orthogonal grid in the horizontal direction and z-level grid in the vertical direction. The three-dimensional model is discretized by the semi-implicit finite-volume method, in that the free-surface and the vertical diffusion are semi-implicit, thereby removing stability limitations associated with the surface gravity wave and vertical diffusion terms. The remaining terms in the momentum equations are discretized explicitly by an integral method. The partial cell method is used for resolving topography, which enables the model to better represent irregular topography. The model has been tested against analytical cases for wind and tidal oscillation circulation, and is applied to simulating the tidal flow in the Bohai Sea. The results are in good agreement both with the analytical solutions and measurement results.
中文摘要:
      A new three-dimensional semi-implicit finite-volume ocean model has been developed for simulating the coastal ocean circulation, which is based on the staggered C-unstructured non-orthogonal grid in the horizontal direction and z-level grid in the vertical direction. The three-dimensional model is discretized by the semi-implicit finite-volume method, in that the free-surface and the vertical diffusion are semi-implicit, thereby removing stability limitations associated with the surface gravity wave and vertical diffusion terms. The remaining terms in the momentum equations are discretized explicitly by an integral method. The partial cell method is used for resolving topography, which enables the model to better represent irregular topography. The model has been tested against analytical cases for wind and tidal oscillation circulation, and is applied to simulating the tidal flow in the Bohai Sea. The results are in good agreement both with the analytical solutions and measurement results.
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