【摘要】 本文发展了求解流体与结构相互作用问题的数值方法。采用任意拉格朗日 -欧拉网格 (ALE)和有限体积方法对流体的控制方程进行空间离散 ,而时间项则采用三点向后差分格式 ;对于结构的运动方程采用 Newmark积分方法进行求解 ;为了求解耦合的流体和结构的运动方程 ,采用预测 -多步校正法以避免反复迭代所导致的过大的计算量。作为本方法的应用 ,计算了圆筒内一同轴圆柱的自由振动问题 ,在小振幅的情形下 ,将由计算获得的附加质量和附加阻尼系数与解析解的结果进行了比较 ,同时讨论了大振幅和偏心对附加质量和附加阻尼系数的影响。更多还原

【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.更多还原