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

2020/07/06 by Yiyi Huang, Huang, Yiyi
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #G.1

paper · pdf · doi:10.48550/arxiv.2007.08655

openalex publication_date 2020/07/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• An Unconditionally Stable Explicit Robin-Robin Partitioned Scheme for Fluid-Structure Interaction
• Jagged-time-step technique improving convergence order of Fernandez's Explicit Robin-Neumann scheme for the coupling of incompressible fluid with thin-walled structure
• Fully discrete loosely coupled Robin-Robin scheme for incompressible fluid-structure interaction: stability and error analysis
• On the stability of a loosely-coupled scheme based on a Robin interface condition for fluid-structure interaction
• A stable partitioned FSI algorithm for incompressible flow and structural shells