Simulation of flow around a thin, flexible obstruction by means of a deforming grid overlapping a fixed grid

Kunlun Liu, Hari Radhakrishnan, Victor H Barocas

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

This paper presents a numerical method for simulation of coupled flows, in which the fluid interacts with a thin deformable solid, such as flows in cardiovascular valves. The proposed method employs an arbitrary Lagrangian-Eulerian (ALE) method for flow near the solid, embodied in the outflow domain in which the mesh is fixed. The method was tested by modelling a two-dimensional channel flow with a neo-Hookean obstacle, an idealization of the coupled flow near a cardiovascular valve. The effects of the Reynolds number and the dimensionless elastic modulus of the material on the wall shear stress, the size of the downstream reverse flows, and the velocity and pressure profiles were investigated. The deformation of the obstacle, the pressure drop across the obstacle, and the size of the top reverse flow increased as the Reynolds number increased. Conversely, increasing the elastic modulus of the obstacle decreased the deformation of the obstacle and the size qf the top reverse flows, but did not affect the pressure drop across the obstacle over the range studied.

Original languageEnglish (US)
Pages (from-to)723-738
Number of pages16
JournalInternational Journal for Numerical Methods in Fluids
Volume56
Issue number6
DOIs
StatePublished - Feb 28 2008

Keywords

  • Domain decomposition
  • Fluid-solid interaction
  • Incompressible Navier-Stokes equations
  • Overlapping grid

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