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非线性弱色散波内部流场的重构
引用本文:刘 桦 Theodore Y.Wu.非线性弱色散波内部流场的重构[J].海洋工程,1999(1):2.
作者姓名:    Theodore  Y.Wu
作者单位:上海交通大学
基金项目:上海市重点学科基金,上海市科技启明星项目
摘    要:基于势流理论和级数直接求逆方法,本文建立了基于Bousinesq方程或Green-Naghdi方程给出的水深平均流速或某特征流速及波面信息重构非线性弱色散波内部流场的算法。以Bousinesq方程的孤立波解为例,用本反演方法计算了孤立波的表面水平流速及底部水平流速。结果表明本算法是有效的。本反演算法可用于获取非线性弱色散波的内部流场的详细信息。

关 键 词:非线性水波  Boussinesq方程  孤立波

On Reconstructing the Flow Field of Nonlinear Weakly Dispersive Water Waves
Liu Hua.On Reconstructing the Flow Field of Nonlinear Weakly Dispersive Water Waves[J].Ocean Engineering,1999(1):2.
Authors:Liu Hua
Abstract:Based on the potential flow theory and direct series inversion method,an algorithm for reconstructing the flow fields of nonlinear weakly dispersive waves considering the information of wave profile and the depth mean horizontal velocity or some characteristic horizontal velocities obtained by the Boussinesq equations or Green Naghdi equations is presented in the paper Taking the solitary wave solution of the Boussinesq equstions as an example,the horizontal velocities on the free surface and on the bottom are calculated by the inversion method The results show that the inversion method is valid This inversion algorithm can be used to obtain the detailed information of the flow field of nonlinear weakly dispersive waves
Keywords:nonlinear  water  wave  Boussinesq  equations  solitary  wave  
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