Jagged-time-step technique improving convergence order of Fernandez's Explicit Robin-Neumann scheme for the coupling of incompressible fluid with thin-walled structure

TL;DR

This paper introduces a jagged-time-step technique that enhances the convergence order and accuracy of Fernandez's Explicit Robin-Neumann scheme for fluid-structure coupling, reducing computational costs.

Contribution

The paper proposes a novel jagged-time-step method inspired by Rybak's technique, improving convergence and efficiency in fluid-structure interaction simulations.

Findings

Higher convergence orders demonstrated in numerical experiments

Improved accuracy with refined time and space discretization

Reduced computational cost compared to traditional methods

Abstract

Inspired by Rybak's multiple-time-step technique, jagged-time-step technique is proposed and applied to Fernandez's Explicit Robin-Neumann scheme. For some instances, numerical experiments demonstrate higher convergence orders and accuracy with lower computation cost as time and space get refined.