中文摘要：

提出了处理粘性流体晃荡与弹性结构相互耦合作用的理论及相应数值计算方法.流体运动采用N-S方程描述,控制方程采用有限差分法离散,并由超松弛迭代法求解.液体自由表面通过流体体积法进行重构.为了考虑液舱结构变形对液体晃荡的影响,应用了FAVOR技术.由此建立了描述液体晃荡与结构相互耦合作用的水弹性理论,并由相应的计算方法进行了系列运算,以考察二维液舱不同结构刚度对液体晃荡的影响.计算结果有助于进一步理解此类问题的物理现象.

英文摘要：

A theory and a corresponding numerical technique to deal with the coupled interactions between the liquid sloshing and the elastic structures are presented.The liquid motions are described with Navier-Stokes equations. The governing equations are discretized by finite difference method with staggered grids and solved by SOR method. The profile of liquid surface is reconstructed by a function of the volume of fluid in each computational step on the basis of the volume of fluid （VOF） method. FAVOR technique is applied for considering the influence of vibrations of structure of tank on fluid sloshing. A hydroelasticity theory is established to describe the sloshing of viscous flow coupled with elastic structures. Using the theory and the numerical technique, a series of calculations are performed to observe the effects of different structural rigidities of a 2D elastic tank to sloshing responses. The results are helpful to understand the physical phenomena.