APPLICATION OF PREDICTOR-CORRECTOR METHOD TO ALE FINITE ELEMENT ANALYSIS OF FLOW-STRUCTURE INTERACTION PROBLEMS AND ASSOCIATED COMPUTATIONAL TECHNIQUES

Abstract

A computational method is developed to solve coupled problems of incompressible viscous flows and motion of an elastically mounted rigid body. The moving interface between the body and the fluid is described in terms of the arbitrary Lagrangian-Eulerian formulation. The streamline upwind/Petrov-Galerkin method is applied to the ALE Navier-Stokes equations to yield finite element equations. The coupled matrix equations with respect to the fluid and the body are solved by means of a predictor-corrector-type time integration method. The improved stability of the proposed method in comparison with the author's previous one is demonstrated by numerical examples. Computational strategies to reduce the computational time are also presented.