面元法求解有限水深船舶兴波及水底压力变化

应用势流理论中的格林函数方法计算了船舶定常运动的水动力参数,将有限水深Kelvin移动兴波源格林函数分解成三部分:简单Rankine源集合、局部扰动项和波函数项。在亚临界和超临界航速时,采用不同的积分顺序来消除被积函数的奇异性。利用面元法在船体表面上分布Kelvin源,计算了有限水深下船体表面的源强、压力分布及表面兴波,比较了有限与无限水深结果的区别和联系,进一步求解了船舶航行时引起的水底压力变化,计算结果与实验测量结果吻合良好。

The calculation of ship wave and bottom pressure variation in finite depth by panel method

Applying Green function method of potential flow theory,the steady moving ship hydrodynamic parameters were calculated.The Kelvin wave source Green function of steady motion in finite depth was decomposed to three parts: array of simple Rankine sources,local disturbance and wave part.Both at subcritical and supercritical speed,the singularity of integral function were eliminated by different integral path.The Kelvin source was distributed on the surface of ship by panel method,the source strength and pressure distribution on the ship surface and wave pattern were obtained.The difference and relation between finite and infinite depth results were compared.The pressure variation at bottom induced by ship was solved further.A good agreement between calculated and experiment results was found.