孤立波与多孔介质结构物的非线性相互作用

基于精确至Ｏ（εμ＾２，μ＾４）的多孔介质无压渗流模型方程和均匀流体质波动的Ｂｏｕｓｓｉｎｅｓｑ方程，本文对孤立波与多孔介质结构物的相互作用了较系统的数值实验。控制方程采用基于有限差分方程离散，在时域上采用了预估－校正方法进行了时间积分。在求解演化方程的过程中，引入“内迭代”过程实现流体域和多孔介质交界面的连接条件。结果表明孤立波在多孔介质上的反射与在不可渗透的界面上的反射类似，形成反向的孤立波但

Nonlinear Interaction Between Solitary Wave and Structures of Porous Media

Based on the model equations for the unconfined seepage in porous media of the order of O and the Boussinesq equations for the water waves in uniform fluids, a systematical numerical experiment of the interaction between solitary waves and structures of porous media is presented in the paper. The finite difference method is used to discretize the governing equations in spatial domain. The evolution equations are integrated in time using the predictor - corrector method. An inner iteration technique is developed to implement the conjunctive conditions of the interface between the fluid domain and the porous media. The results show that the reflection of a solitary wave from the wall of porous media is similar to that on a vertical impermeable wall, while its reflected wave height is smaller that the last one. The seepage in porous media shows up like a diffusive wave. The reflection coefficient of a solitary wave decreases as the effective porosity increases for a given permeability coefficient. If the effective porosity is given, the reflection coefficient of a solitary wave decreases also as the permeability coefficient increases.