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水库水温计算的有限元解法
引用本文:张子明,倪志强.水库水温计算的有限元解法[J].红水河,2006,25(1):41-45.
作者姓名:张子明  倪志强
作者单位:河海大学土木工程学院,江苏,南京,210098
摘    要:用基于加权余量法的有限单元法对一维水库水温模型的控制方程进行离散,并且将形函数作为权函数,得到计算水库水温的伽辽金有限元方程。根据工程实践,库底边界条件可取为绝热边界条件。考虑到水面掺混作用,水面边界满足太阳辐射和水面蒸发等条件。通过对龙滩工程水库水温的计算结果表明,用有限元法计算水库水温有较高的精度和可靠性。

关 键 词:水库水温  一维模型  加权余量法  伽辽金法  有限单元法
文章编号:1001-408X(2006)01-0041-05
收稿时间:2005-12-12
修稿时间:2005年12月12

Finite Element Solution of Water Temperature of Reservoir
ZHANG Zi-ming,NI Zhi-qiang.Finite Element Solution of Water Temperature of Reservoir[J].Hongshui River,2006,25(1):41-45.
Authors:ZHANG Zi-ming  NI Zhi-qiang
Affiliation:College of Civil Engineering, Hohai University, Nanjing 210098, China
Abstract:In order to deduce the finite element equation based on Galerkin method for calculating the water temperature of reservoir, the governing equation of 1-D model is derived by using weighted residual method and with the shape function as the weight function. Considering stiring function of water surface and the conditions that the boundary conditions of water surface agree with the conditions of solar radiation and surface evaporation, the boundary condition of the bottom is decided to be adiabatic boundary condition according to engineering practice. The numerical result of water temperature of reservoir in Longtan engineering by use of finite element method (FEM) is reliable and accurate.
Keywords:water temperature of reservoir  1-D model  weighted residual method  Galerkin method  finite element method
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