摘要
本文研究了浮体与自由面交线附近势流流场的奇异性.结果表明,线性时域解在交线附近的奇异特征是d^2lnd.线性频域解在交线附近的奇异特征也是d^21nd,但若采用无穷大频率自由面条件φ=0,交线附近流场的奇异特征是d1nd,这里的d表示交线上的点与场点的距离.
The singular behaviour in the vicinity of intersection between the body and free surface is presented. It is shown that in the linear regime, the singularity of velocity potential for transient problem is,in d2 Ind. The singular behaviour for harmonic problem is the same as the result for the transient problem. In particular, the singularity for harmonic problem with infinite frequency is in d lnd for velocity potential (d is the distance between field point and intersection).
出处
《应用数学和力学》
EI
CSCD
北大核心
1993年第5期435-444,共10页
Applied Mathematics and Mechanics
关键词
奇异性
速度势
时域问题
浮体
流场
singularity, velocity potential, the transient problem, the harmonic problem