English

A Monolithic Eulerian Formulation for non-Classical Fluid-Structure Interaction (nCFSI): Modeling and Simulation

Numerical Analysis 2022-04-08 v1 Numerical Analysis Fluid Dynamics

Abstract

In this paper a new monolithic Eulerian formulation in the framework of non-classical continuum is presented for the analysis of fluid-strucuture interaction problems. In this respect, Cosserat continuum theory taking into account the micro-rotational degrees of freedom of the particles is considered. Continuum description of the model and variational formulation of the governing flow dynamics for non-classical -fluid-structure interaction nCFSI is presented. The model is analyzed by computing a well known benchmark problem by Hecht and Pironneau (2017). The algorithmic description is presented and implemented using FreeFEM++. Code is validated with the benchmark solution of Turek and Hron (2006) in case of flow around a flag attached with cylinder. New microstructural behavior of the solution is studied and numerical simulations and results are shown in the form of figures. Some interesting feature of the flow is observed and microstructural characteristics are discussed.

Keywords

Cite

@article{arxiv.2204.03530,
  title  = {A Monolithic Eulerian Formulation for non-Classical Fluid-Structure Interaction (nCFSI): Modeling and Simulation},
  author = {Nazim Hussain and Muhammad Sabeel Khan and Lisheng Liu},
  journal= {arXiv preprint arXiv:2204.03530},
  year   = {2022}
}

Comments

15 pages, 10 figures. arXiv admin note: substantial text overlap with arXiv:2203.16493

R2 v1 2026-06-24T10:41:22.843Z