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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。
A theory and corresponding numerical calculation method are proposed to deal with the mutual coupling of viscous fluid sloshing and elastic structure. Fluid motion is described by the N-S equation. The governing equation is discretized by the finite difference method and solved by the over-relaxation iterative method. The free surface of the liquid is reconstructed by the fluid volume method. In order to consider the liquid tank structure deformation of the sloshing effect, the application of the FAVOR technology. Based on this, a hydroelastic theory describing the interaction of liquid sloshing and structure is established and a series of calculations are carried out by corresponding calculation methods to investigate the influence of different structural rigidity of two-dimensional liquid tank on liquid sloshing. The calculation results help to further understand the physical phenomena of such problems.