A monolithic fluid-porous structure interaction finite element method
Alexander Lozovskiy, Maxim A. Olshanskii, Yuri V. Vassilevski
TL;DR
This paper presents a second-order, fully discrete finite element method for fluid-porous structure interaction problems, enabling standard finite element spaces and demonstrating effective numerical performance.
Contribution
It introduces a novel monolithic, second-order finite element approach for fluid-porous interactions using standard P2-P1 elements, with validated numerical results.
Findings
Method achieves second-order accuracy in time.
Standard finite element spaces are effectively used.
Numerical experiments confirm the method's robustness.
Abstract
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 (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.
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Taxonomy
TopicsAdvanced Numerical Methods in Computational Mathematics · Contact Mechanics and Variational Inequalities · Lattice Boltzmann Simulation Studies