Journal of Shanghai Jiaotong University ›› 2013, Vol. 47 ›› Issue (10): 1597-1600.

• Communication and Transportation • Previous Articles     Next Articles

Analytical Solution to Wave Diffraction by a Hemisphere

ZHOU Huawei1,ZHANG Hongsheng1,2
  

  1. (1.State Key Laboratory of Ocean Engineering, College of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China; 2.Ocean Environmental and Engineering College, Shanghai Maritime University, Shanghai 201306, China)
  • Received:2012-10-16 Online:2013-10-30 Published:2013-10-30

Abstract:

 Based on the linear potential theory, an analytical solution is presented to study the diffraction problem of a hemisphere on the surface of water with infinite depth. The incident wave potential in the spherical coordinate system was proposed and the method of multipole expansion was employed to obtain the diffraction wave potential in the form of infinite series of the associated Legendre functions with the unknown coefficients which could be determined by solving a set of linear equations from the body boundary condition. The wave exciting force acting on the hemisphere was calculated and the results were compared with those from the Haskind relationship and some numerical results from the published literature.
 

Key words: diffraction, hemisphere, incident wave potential, multipole expansion, exciting force

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