摘要
本文提供了—种浮体运动的时间域分析方法。由物体运动引起的流体运动的总的速度势分为脉冲势和自由表面速度势两部分;脉冲速度势采用类似于Hess-smith方法求解,自由表面速度势根据脉冲速度势和自由表面速度势之间的关系,利用傅立叶变换获得其初值,然后按时间展开,在每个时间步长上满足物面条件得到在所考虑的时间域上的自由表面速度势。作为算例,本文计算了球体的附加质量系数、迟滞函数,最后利用Cummins时间域上的运动方程求解了一个自由浮漂半球在得一位移脉冲之后的升沉运动。
In this paper a time-domain simulation method for computing the motion of a rigid body floating on water free surface is presented. The total velocity potential generated by the motion of the body is divided into two parts. One is the impulsive velocity potential which is obtained by Hess-Smith method. The other is free surface potential. By the means of the representation of the free-surface potential suggested in this paper and the relation between the impulsive velocity potential and the free surface potential, the Fourier transform motion is used to obtain the initial value of free surface potential. And then the boundary condition on body surface is used to calculate free surface potential at each time-step. As an example the added mass and its memory function on a hemisphere are computed. The variation of free-surface shape at each time-step after impulsive motion are computed. At the end of this paper, the Cummins' equation of motion in time-domain is used to solve the motion in vertical direction of a hemisphere floating freely on free surface.
出处
《水动力学研究与进展（A辑）》
CSCD
北大核心
1989年第4期1-8,共8页
Chinese Journal of Hydrodynamics
基金
国家自然科学基金
