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A New Pursuit Mode of Nonlinear Wave Surface
作者姓名:孙大鹏  李玉成  郭海滨
作者单位:StateKeyLaboratoryofCoastalandOffshoreEngineering,DalianUniversityofTechnology,Dalian116023,China
基金项目:ThisprojectwasfinanciallysupportedbytheNationalNaturalScienceFoundationofChina (GrantNo .50179004)andtheResearchFundfortheDevelopmentofHarborEngineeringDesignSpecifications,theMinistryofCommunicationsofChina
摘    要:The numerical mode of nonlinear wave transformation based on both the Laplace equation for water field and the Bemoulli equation for water surface is a kind of time-domain boundary problem with initial conditions. And the basis for establishing the numerical mode of nonlinear wave in time domain is to trace the position of wave free surface and to calculale the instantaneous surface height and surface potential function. This paper firstly utilizes the ‘0-1‘ combined BEM to separate the boundary by means of discretization of Green‘ s integral equation based on the Laplace equation, then separates the free surface of wave with FEM and derives the FEM equation of wave surface that satisfies the nonlinear boundary conditions. By jointly solving the above BEM and FEM equations, the wave potential and surface height could be obtained with iteration in time domain. Thus a new kind of nonlinear numerical mode is established for calculating wave transformation. The wave test in the numerical wave tank shows that the numerical simulation with this mode is of high accuracy.

关 键 词:拉普拉斯方程  非线性波  FEM  势能函数  流体动力学

A New Pursuit Mode of Nonlinear Wave Surface
SUN Da-peng ,LI Yu-cheng and GUO Hai-bin State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian ,China.A New Pursuit Mode of Nonlinear Wave Surface[J].China Ocean Engineering,2004,18(2):257-266.
Authors:SUN Da-peng  LI Yu-cheng and GUO Hai-bin State Key Laboratory of Coastal and Offshore Engineering  Dalian University of Technology  Dalian  China
Institution:SUN Da-peng 1,LI Yu-cheng and GUO Hai-bin State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology,Dalian 116023,China
Abstract:
Keywords:laplace equation  nonlinear wave  0-1 combined type BEM  FEM
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