An algorithm for modelling the interaction of a flexible rod with a two-dimensional high-speed flow

D. Tam, R. Radovitzky*, R. Samtaney

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We present an algorithm for modelling coupled dynamic interactions of a very thin flexible structure immersed in a high-speed flow. The modelling approach is based on combining an Eulerian finite volume formulation for the fluid flow and a Lagrangian large-deformation formulation for the dynamic response of the structure. The coupling between the fluid and the solid response is achieved via an approach based on extrapolation and velocity reconstruction inspired in the Ghost Fluid Method. The algorithm presented does not assume the existence of a region exterior to the fluid domain as it was previously proposed and, thus, enables the consideration of very thin open boundaries and structures where the flow may be relevant on both sides of the interface. We demonstrate the accuracy of the method and its ability to describe disparate flow conditions across a fixed thin rigid interface without pollution of the flow field across the solid interface by comparing with analytical solutions of compressible flows. We also demonstrate the versatility and robustness of the method in a complex fluid-structure interaction problem corresponding to the transient supersonic flow past a highly flexible structure.

Original languageEnglish (US)
Pages (from-to)1057-1077
Number of pages21
JournalInternational Journal for Numerical Methods in Engineering
Issue number8
StatePublished - Oct 28 2005
Externally publishedYes


  • Compressible flows
  • Flexible structures
  • Fluid-solid interaction

ASJC Scopus subject areas

  • Numerical Analysis
  • General Engineering
  • Applied Mathematics


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