The paper introduces a fully discrete quasi-Lagrangian finite element method for a monolithic formulation of a fluid-porous structure interaction problem. The method is second order in time and allows a standard $P_2-P_1$ (Taylor--Hood) finite element spaces for fluid problems in both fluid and porous domains. The performance of the method is illustrated on a series of numerical experiments.

翻译：本文介绍了一种完全离散的准Lagrangian 有限元素方法,用于液态多孔结构互动问题的单一配方,该方法在时间上是第二顺序,允许在流体和多孔域中为流体问题提供一个标准的P_2-P_1美元(Taylor-Hood)的有限元素空间。该方法的性能通过一系列数字实验加以说明。