Add force and/or change underlying projection method to improve accuracy of Explicit Robin-Neumann and fully decoupled schemes for the coupling of incompressible fluid with thin-walled structure

TL;DR

This paper proposes modifications to partitioned algorithms for fluid-structure interaction, including adding force based on viscosity and replacing the projection method, resulting in improved accuracy demonstrated through numerical experiments.

Contribution

It introduces novel modifications to existing schemes, enhancing their accuracy in fluid-structure coupling by incorporating viscous forces and changing the projection method.

Findings

Improved accuracy demonstrated through numerical experiments.

Adding viscous force enhances coupling precision.

Replacing the projection method further improves results.

Abstract

This work aims at providing some novel and practical ideas to improve accuracy of some partitioned algorithms, precisely Fernandez's Explicit Robin-Neumann and fully decoupled schemes, for the coupling of incompressible fluid with thin-walled structure. Inspired by viscosity of fluid and justified by boundary layer theory, the force between fluid and structure corresponding to viscosity is increased. Numerical experiments demonstrate improvement of accuracy under such modification. To improve accuracy of fully decoupled schemes further, the underlying projection method is replaced.