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A weak coupling algorithm for seabed-wave interaction analysis

机译：海底波相互作用分析的弱耦合算法

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摘要

This paper proposes a weak coupling algorithm for the seabed-wave interaction analysis. This algorithm is based on the error integration over a time interval and space along fluid-seabed interfaces. With this weak coupling algorithm, seabed-wave interaction analysis can be easily carried out with a fluid solver in fluid domain and a meshless solver in seabed domain independently. The fluid solver is based on a two-step projection method for Navier-Stokes equation. The free surface of seawaters during wave propagation is traced through the volume of fluid (VOF). The meshless solver is based on the Biot's consolidation theory of saturated poroelasticity which considers the interaction of soil deformation and pore water pressure in seabed. Data exchange at the interface between fluid and porous medium domains is carried out through a point interpolation method. Interface condition is approximately satisfied in a variational sense through an iteration scheme between two solvers. This algorithm does allow not only non-matching mesh along the interface but also non-matching time step in different subdomains. Numerical examples show that this weak coupling algorithm is able to capture the deformation of interface and improve the computation accuracy and efficiency.
机译：本文提出了一种弱耦合算法，用于海底波相互作用分析。该算法基于沿着流体-海底界面的时间间隔和空间上的误差积分。使用这种弱耦合算法，可以轻松地使用流体域中的流体求解器和海床域中的无网格求解器轻松进行海底波相互作用分析。流体求解器基于针对Navier-Stokes方程的两步投影方法。波浪传播过程中海水的自由表面通过流体体积（VOF）进行追踪。无网格求解器基于Biot的饱和多孔弹性固结理论，该理论考虑了土壤变形和海底孔隙水压力之间的相互作用。流体和多孔介质域之间的界面处的数据交换是通过点插值法进行的。通过两个求解器之间的迭代方案，可以在变分意义上近似满足接口条件。该算法不仅允许沿界面的网格不匹配，而且允许不同子域中的时间步长不匹配。数值算例表明，该弱耦合算法能够捕获界面的变形，提高了计算精度和效率。

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