Numerical Study of Cosserat Fluid-Structure Interaction in a Monolithic Eulerian Framework

TL;DR

This paper introduces a monolithic Eulerian variational formulation for Cosserat fluid-structure interaction, incorporating micro-rotational degrees of freedom, and evaluates it through numerical simulations of flow around a flag with significant effects on micro-rotation.

Contribution

It presents a novel Eulerian variational formulation for Cosserat FSI that accounts for micro-rotations and micro-viscosity effects at the micro-structural level.

Findings

Micro-rotational viscosity inversely affects oscillation amplitude.

Micro-viscosity significantly influences micro-rotation fields.

Model successfully applied to benchmark flow problem.

Abstract

We propose a monolithic Eulerian variational formulation in non-classical sense of continuum description for the analysis of micro-viscosity parameters at micro-structural level. In this respect, Cosesrat fluid-structure interaction CFSI phenomena is taken into account by considering micro-rotational degrees of freedom of the particles. The governing equations and variational formulation for CFSI problem are presented. The space and time domains are discretized by the finite element method and semi-implicit scheme. The model is implemented and evaluated using FreeFem++. The present model is analyzed by computing a well known benchmark problem FLUSTRUK-FSI-3*, where the flow around a flag attached with cylinder is considered for numerical test. The obtained results suggest that the amplitude of oscillations and micro-rotational viscosity varies inversely and micro-viscosity parameter exhibit a significant effect on micro-rotation field as compare to velocity field.