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求解-维浅水波方程的中心差分格式
引用本文:孙明灿.求解-维浅水波方程的中心差分格式[J].南昌航空工业学院学报,2010,24(1):60-63.
作者姓名:孙明灿
作者单位:南昌航空大学;
摘    要:使用Haim Nessyahu和Eitan Tadmor给出的求解双曲型守恒律的中心差分交错格式求解浅水波方程,经一维溃坝问题数值实验验证了该格式对于求解浅水波方程的可行性和有效性。

关 键 词:浅水波方程  中心差分  双曲型守恒律  

The Central Differencing Scheme for 1-D Shallow Water Equations
SUN Ming-can.The Central Differencing Scheme for 1-D Shallow Water Equations[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2010,24(1):60-63.
Authors:SUN Ming-can
Institution:Nanchang Hangkong University/a>;Nanchang Jiangxi 330063/a>;China
Abstract:The staggered form of central differencing scheme for solving 1-D shallow water equations is given in this paper.The scheme is based on the staggered form of central differencing for hyperbolic conservation laws given by Haim Nessyahu and Eitan Tadmor which could be transformed by shallow water equations under certain circumstance.The numerical experiments of dam-break have verified the feasibility and effectiveness of this approach.
Keywords:shallow water equation  central differencing  hyperbolic conservation laws  
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