船行波的Airy函数渐近解

An Asymptotic Solution with Airy Function for Ship Waves

把船作为点源,从水动力学方程出发,导出无粘流体中水上船行波高积分表达式,并采用留数定理和相位函数展开法获得船行波高用Airy函数表示的一个简洁的渐近表达式,消除了在船行波侧边上的奇性,并改进了Ursell的结果,得到了更明确的结论.

Taking ship as a moving concentrated pressure point and from the hydrodynamics equations,the integral expressions of the free-surface elevation in ship waves of a moving waterborne body are derived.By use of the residue theorem and a phase function expansion,a concise asymptotic expression of ship wave elevation is obtained.The singularity at both sides of ship waves is sublated.Ursell's result is improved and a more clear conclusion is also obtained.