Construction of Wave-free Potential in the Linearized Theory of Water Waves  

线性水波理论中远场无波势的构建(英文)

作　　者：Dilip Das B.N.Mandal 

机构地区：[1]Shibpur Dhinbundhoo Institution (College),Department of Mathematics [2]Physics and Applied Mathematics Unit,Indian Statistical Institute

出　　处：《Journal of Marine Science and Application》2010年第4期347-354,共8页船舶与海洋工程学报（英文版）

基　　金：a NASI Senior Scientist Fellowship to BNM and a DST Research Project no. SR/S4/MS:521/08

摘　　要：Various water wave problems involving an infinitely long horizontal cylinder floating on the surface water were investigated in the literature of linearized theory of water waves employing a general multipole expansion for the wave potential. This expansion involves a general combination of a regular wave, a wave source, a wave dipole and a regular wave-free part. The wave-free part can be further expanded in terms of wave-free multipoles which are termed as wave-free potentials. These are singular solutions of Laplace's equation (for non-oblique waves in two dimensions) or two-dimensional Helmholz equation (for oblique waves) satisfying the free surface condition and decaying rapidly away from the point of singularity. The method of constructing these wave-free potentials is presented here in a systematic manner for a number of situations such as deep water with a free surface, neglecting or taking into account the effect of surface tension, or with an ice-cover modelled as a thin elastic plate floating on water.

关 键 词：wave-free potential free surface surface tension ICE-COVER Laplace equation Helmholz equation 

分 类 号：P731.22[天文地球—海洋科学]