Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

Version 1 : Received: 20 March 2022 / Approved: 23 March 2022 / Online: 23 March 2022 (08:48:26 CET)

How to cite: Hussain, N.; Khan, M.S.; Liu, L. A Monolithic Eulerian Formulation for non-Classical Fluid-Structure Interaction (nCFSI): Modeling and Simulation. Preprints 2022, 2022030312 (doi: 10.20944/preprints202203.0312.v1). Hussain, N.; Khan, M.S.; Liu, L. A Monolithic Eulerian Formulation for non-Classical Fluid-Structure Interaction (nCFSI): Modeling and Simulation. Preprints 2022, 2022030312 (doi: 10.20944/preprints202203.0312.v1).

Abstract

In this paper a new monolithic Eulerian formulation in the framework of non-classical continuum is presented for the analysis of fluid-strucutre 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 [16]. The algorithmic description is presented and implemented using FreeFEM++. Code is validated with the benchmark solution of Turek and Hron [38] in case of flow around a flag attached with cylinder. New microstructral 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

monolithic variational scheme; cosserat fluids; fluid structure interaction; finite elements; Eulerian formulation; FreeFEM++

Subject

MATHEMATICS & COMPUTER SCIENCE, Numerical Analysis & Optimization

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