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

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.