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The singular behaviour in the vicinity of intersection between the body and free surface
Authors:Zhu Lin-sheng  Dai Yi-shan
Affiliation:1. Huazhong University of Science and Technology, Wuhan;2. Haerbin Shipbuilding Engineering Institute, Haerbin
Abstract:The singular behaviour in [he 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/nd. The singular behaviour for harmonic problem is the same as the result for the transient problem. In particular, the singularity for the harmonic problem with infinite frequency is in d2/nd for velocity potential (d is the distance between field point and intersection).
Keywords:singularity   velocity potential   the transient problem   the harmonic problem
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