时域边界元法分析撞水响应

基于势流理论，考虑流场的可压缩性，首先利用积分变换导得了势流问题的一个动力学倒易定理，在此基础上，进而求得问题对应的时空边界积分方程，然后通过对边界和时间轴同时离散，建立了一组有递推形式的时间边界元方程最后结合液面条件和物体运动方程耦全求解得到了刚体的撞水响应。

IMPACT ANALYSIS OF RIGID BODY WITH WATER BY TIME DOMAIN BOUNDARY ELEMENT METHOD

A reciprocal theorem of dynamics for potential flow problems is first derived by means of the Laplace transform in which the compressibility of water is taken into account.Based on this theorem,the corresponding time-space boundary integral equation is also obtained. Then,a set of time domain boundary element equations with recurrence form is immediately formulated through the discretization of both time and boundary.After having carried out the numerical calculation two solutions are found out in which a rigid semieircular cylinder and a rigid wedge with infinite length suffer normal impact on the surface of a half-space fluid.The results show that the present method is more efficient than the previous ones.