An immersed boundary method for the fluid-structure interaction of slender flexible structures in viscous fluid

TL;DR

This paper introduces a stable, efficient immersed boundary method for simulating fluid-structure interactions involving numerous slender, flexible Cosserat rods in viscous fluids, addressing computational challenges of strong coupling.

Contribution

It presents a novel coupling approach that improves stability and reduces computational cost without global iteration, specifically tailored for slender viscoelastic structures in fluid flows.

Findings

Method is numerically stable and accurate.

Demonstrates high versatility through validation cases.

Achieves low computational cost with strong coupling handling.

Abstract

This paper presents a numerical method for the simulation of fluid-structure interaction specifically tailored to interactions between Newtonian fluids and a large number of slender viscoelastic Cosserat rods. Because of their high flexibility and low weight the rods considered here exhibit large deflections, even under moderate fluid loads. Their motion, in turn, modifies the flow so that fluid and structures are strongly coupled to each other which is numerically very challenging. The paper proposes a new coupling approach based on an immersed boundary method which improves upon existing methods for this problem. It is numerically stable and exempt from any global iteration between the fluid part and the structure part, thus yielding high stability and low computational cost of the coupling scheme. The contribution presents the underlying methodology and its algorithmic realization, including an assessment of accuracy and convergence by systematic studies. Various validation cases illustrate performance and versatility of the proposed method.