近水面三维物体运动的时域计算  

Time-Domain Calculation of Three-Dimensional Body with Large Amplitude Motions near Free Surface

作　　者：蔡泽伟[1] 刘应中[2] 严乃长[2] 

机构地区：[1]宁波大学 [2]上海交通大学

出　　处：《水动力学研究与进展（A辑）》1989年第1期32-42,共11页Chinese Journal of Hydrodynamics

摘　　要：本文提出了求解近水面三维物体作任意运动时受到的水动力和产生的波浪的压力波方法。运动可以是大振幅的,但自由面条件是线性的。整个问题由自由面上分布偶极子和物面上布置源汇来模拟后,就可以分解为自由面上布有压力的压力波解和无限流场的绕流解。本文导出了水面布有压力为一般函数时的解析解,然后利用特殊函数的各种性质和公式积出了其中的四重无限积分,大大地简化了。三维的计算主要是计算机速度和内存空间的限制,故本文的方法有较大的实用价值。作为例子,本文计算了突然起动的圆球和回转体作定常运动时的水动力以及它幅射的波浪。结果与其它数值和PMM试验结果比较证实了本方法的合理性和计算的准确性。A time-domain pressure wave method for solving forces and moments acting on a three-dimensional body with arbitrary motions near free surface is presented. The motion can be of large amplitude, and the free surface condition is linear. The problem is simulated by the distribution of singularities on the free surface and body surface, so the total flow is decomposed into a pressure wave problem and flow around a body in infinite fluid field. The analytic solution generated by the general distribution of pressure on free surface is derived, and simplified by using the formulas of special functions. As an example, the wavemaking of a sphere and a revolution-body is calculated. The calculated coefficients of lifting forces and resistances compared with the results of PMM captive model tests or computed by others verify that the numerical method is rational and reliable.

关 键 词：三维物体 时域 近水面运动 水动力 

分 类 号：O353[理学—流体力学]