A monolithic fluid-porous structure interaction finite element method

05/12/2021

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by   Alexander Lozovskiy, et al.

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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.