ALE Finite Volume Computations of Fluid-Structure Interaction Problems

TLDR: In this article, the Navier-Stokes equati ons and the equation of the motion of the structure are coupled and solved by a predictor-corrector method, while the time derivatives are approached by a second-order backward scheme.

Abstract: A computational procedure is develop ed to analyze the fluid-structure interaction problems The Navier-Stokes equati ons and the equation of the motion of the structure are coupled and solved by a predictor-corrector method The Newmark scheme is employed to solve the equ ation of structure The spatial discretization of the N-S equation is achieved by the finite volume method using non-staggered grid in a curvilinear coordina te system, while the time derivatives are approached by a second-order backward scheme The Arbitrary-Lagangian-Eulerian method is employed to incorporate th e interface conditions between the structure and fluid Extensive studies are ca rried out with the present method to analyze the vibrations of a single circular cylinder in a viscous fluid filling a circular domain Four different types of fluid, including air, water, mineral oil and silicon oil,are selected as the flu id media in the computation The added mass and damping coefficients obtained fr om time history of displacement are compared with the analytical solutions Good agreement shows that the fluid forces acting on the cylinder are accurately pre dicted Furthermore, the present method can be also used to explore the similar problem with large vibrating amplitude and eccentric cylinder, of which the anal ytical solutions are unavailable