Preconditioning method of a finite element combined formulation for fluid-structure interaction

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Abstract

AILU type preconditioners for a two-dimensional combined P2P1 finite element formulation of the interaction of rigid cylinder with incompressible fluid flow have been devised and tested by solving fluidstructure interaction (FSI) problems. The FSI code simulating the interaction of a rigid cylinder with an unsteady flow is based on P2P1 mixed finite element formulation coupled with combined formulation. Four different preconditioners were devised for the two-dimensional combined P2P1 finite element formulation extending the idea of Nam et al., which was proposed for the preconditioning of a P2P1 mixed finite element formulation of the incompressible Navier-Stokes equations. It was found that PC-III or PC-IV among them perform well with respect to computational memory and convergence rate for some bench-mark problems.

Original languageEnglish
Pages (from-to)310-315
Number of pages6
JournalTransactions of the Korean Society of Mechanical Engineers, B
Volume33
Issue number4
DOIs
StatePublished - 2009

Keywords

  • AILU Preconditioner
  • Combined Formulation
  • Mixed Finite Element
  • Preconditioning Method

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