English

A monolithic fluid-porous structure interaction finite element method

Numerical Analysis 2021-05-13 v1 Computational Engineering, Finance, and Science Numerical Analysis Computational Physics

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 P2P1P_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.

Keywords

Cite

@article{arxiv.2105.05487,
  title  = {A monolithic fluid-porous structure interaction finite element method},
  author = {Alexander Lozovskiy and Maxim A. Olshanskii and Yuri V. Vassilevski},
  journal= {arXiv preprint arXiv:2105.05487},
  year   = {2021}
}
R2 v1 2026-06-24T02:01:38.715Z