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文献[1]在Boussinesq的浅水波假定下,用各层内距交界面任意距离点Zia速度水平分量代替传统的各层垂向平均速度,建立了二层流体浅水波演化模型。本文将该模型应用于线性波的研究,分析了该模型所具有的色散特性。证明了参数ai皆取-0.393时,该方程组具有最佳的色散特性。
Literature [1] established the shallow water wave evolution model of two-layer fluid under the shallow water wave assumption of Boussinesq by replacing the vertical average velocity of each layer with the horizontal velocity component of Zia at any distance from the interface of each layer. In this paper, the model is applied to the study of linear wave, and the dispersion characteristics of the model are analyzed. It is proved that the equation has the best dispersion property when all the parameters ai take -0.393.