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引用本文:黄平,毛荣生.湖泊三维风生流隐式差分模型的研究.湖泊科学,1997,9(1):15-21. DOI:10.18307/1997.0103
Huang Ping,Mao Rongsheng.A 3-dimension implicit finite-difference model for wind-driven water current in Moshui Lake. J. Lake Sci.1997,9(1):15-21. DOI:10.18307/1997.0103
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湖泊三维风生流隐式差分模型的研究
黄平1, 毛荣生2
1.中山大学环境科学系, 广州 510275;2.武汉水利电力大学河流系, 武汉 430072
摘要:
建立了湖泊三维风生流的隐格式差分模型,通过对该模型计算稳定性的分析发现,它的时间步长的取值具有较大的灵活性.该模型波用于武汉市墨水湖的民生流模拟,实例计算表明该模型计算结果合理,能较好地反映湖泊风生流的流态特征.
关键词:  墨水湖  风生流  隐格式差分  三维数值模拟
DOI:10.18307/1997.0103
分类号:
基金项目:
A 3-dimension implicit finite-difference model for wind-driven water current in Moshui Lake
Huang Ping1, Mao Rongsheng2
1.Department of Environmental Sciences, Zhongshan University, Guangzhou 510275;2.Department of Rivers, Wuhan University of Hydraulic and Electric Engineering, Wuhan 430072
Abstract:
Up to now, three-dimension (3-D)finite difference models have been extensively used to simulate water current in coastal areas, lakes and reservoirs. The explicit time integration method is used in many of such mcxiels and thus the time step size is limited by the well-known CFL stability criterion. A three-dimension implicit finite difference model for wind-driven water current in a lake is developed in this paper. Stress terms, pressure terms and Corilic terms in the governing equations are represented implicitly in the model, and through analysing the stability of difference scheme, it is discovered that time step size of the scheme is essentially independent of CFL criterion. The proposed model is thus valuable in reducing compute time. The proposed model is first validated by a particular case where analytic solution is available in comparison with difference solution of the model, and then it is used to simulate wind-drivern water current in Moshui Lake. The real case shows that the calculated results of the mcxiel are rational and available, and can describe better the structural characteristic of wind-driven water current in a lake.
Key words:  Moshui Lake  wind-driven water current  implicit finite difference  three-dimension numerical simulation
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