A new implementation method of sharp interface boundary conditions for particle methods in simulating wave interaction with submerged porous structure
A new implementation method of sharp interface boundary conditions for particle methods in simulating wave interaction with submerged porous structure
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DOI：
10.1016/j.compfluid.2018.09.022
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发表时间：
2018-11
影响因子：
2.8
通讯作者：
Yan Zhou;P. Dong
中科院分区：
文献类型：
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作者：
Yan Zhou;P. Dong
提出了用粒子法模拟浸没多孔介质上水波的一种新的界面边界条件公式。流体在多孔介质上的流动分别采用自由流动的标准NS方程和基于forchemimer型阻力的体积平均NS方程进行建模。由于孔隙度和阻力只存在于多孔介质内部，因此需要在多孔介质中自由流动和流动的界面边界处加强达西速度和流动应力的连续性。这些边界条件在泊松压力方程（PPE）求解阶段同时实现，将速度条件转化为压力梯度表达式，然后在包含应力条件的尖锐界面处应用压力表达式。在现有的基于粒子的代码（MLPG_R）的框架内实现新公式，进行了一组数值“实验”，以证明该方法的有效性，并与解析解和实验数据进行了比较，包括孤波和带破波的规则传播波。
A new formulation of interface boundary conditions for simulating water waves over submerged porous media using particle method is presented. The fluid flow over and through a porous media is modelled by the standard NS equations for the free flow and volume averaged NS equation based on the Forcheimmer's type resistant force for the flow in the porous media, respectively. As the porosity and resistant forces exist only within the porous media, the continuity of Darcy velocity and flow stresses need to be enforced at the interface boundary between the free flow and the flow in the porous media. These boundary conditions are implemented simultaneously at the stage of solving the Poisson pressure equation (PPE) by transforming the velocity condition to an expression of pressure gradient and then applying the pressure expression at the sharp interface incorporating the stress conditions. Implementing the new formulation within the framework of an existing particle-based code (MLPG_R), a set of numerical ‘experiments’ is performed to demonstrate the method's effectiveness as compared with analytical solutions and experimental data including solitary wave and regular propagating wave with wave breaking.