An infinity of conservation laws of fKdV equation     

Xu Zhaoting  Xu Yu  Tian Jiwei 《海洋学报(英文版)》1997,16(1):19-28

An infinity of conservation laws of fKdV equation is derived in terms of the Miura and Gardner''s transform.The pseudo-mass and energy theorems are studied by the first two conservation laws.As a typical example,the theoretical mean wave resistance and the regional distribution of energy of the precursor soliton generation are determined by means of the first and the second conservation laws.  相似文献   

Wave-Current Forces on Small Square Cylinders (Part I)     

Li Yucheng  He Ming Professor  Dalian University of Technology  Dalian Former master student  Dalian University of Technology  Dalian 《中国海洋工程》1994,(3)

-Based on the extended Morison Equation and model tests, the in-line forces on small square cylinders caused by waves (regular and irregular) and currents are analyzed in detail in this paper. The hydrodynamic coefficient CD and Cu related to KC number and the effect of direction of wave incidence are also given, which can be used in engineering practice.  相似文献   

确定任意磁性体磁化方向的样条函数法     

姜效典 《中国海洋大学学报(自然科学版)》1992,(2)

由磁异常Z_α和重力异常g,利用样条函数的微、积分性质,从泊松方程出发,直接解得磁性体的磁化方向。该方法适用于任意形状磁性体的磁异常。  相似文献   

考虑非线性弥散影响的波浪变形数学模型   总被引：3，自引：1，他引：3  

李瑞杰 《海洋学报》2001,23(1):102-108

提出了逼近Kirby和Dalrymple的非线性弥散关系的显式非线性弥散关系的表达式,该显式表达式与他们的非线性弥散关系的精度几乎完全相同.采用显式非线性弥散关系,结合含弱非线性效应的缓坡方程,得到考虑非线性弥散影响的波浪变形数学模型,并对该数学模型进行了数值验证.结果表明,考虑非线性弥散影响的波浪变形数学模型更为精确.  相似文献   

A linear Boltzmann equation to model wave scattering in the marginal ice zone   总被引：1，自引：0，他引：1  

Michael H. Meylan  Diane Masson   《Ocean Modelling》2006,11(3-4):417-427

We present a linear Boltzmann equation to model wave scattering in the Marginal Ice Zone (the region of ocean which consists of broken ice floes). The equation is derived by two methods, the first based on Meylan et al. [Meylan, M.H., Squire, V.A., Fox, C., 1997. Towards realism in modeling ocean wave behavior in marginal ice zones. J. Geophys. Res. 102 (C10), 22981–22991] and second based on Masson and LeBlond [Masson, D., LeBlond, P., 1989. Spectral evolution of wind-generated surface gravity waves in a dispersed ice field. J. Fluid Mech. 202, 111–136]. This linear Boltzmann equation, we believe, is more suitable than the equation presented in Masson and LeBlond [Masson, D., LeBlond, P., 1989. Spectral evolution of wind-generated surface gravity waves in a dispersed ice field. J. Fluid Mech. 202, 111–136] because of its simpler form, because it is a differential rather than difference equation and because it does not depend on any assumptions about the ice floe geometry. However, the linear Boltzmann equation presented here is equivalent to the equation in Masson and LeBlond [Masson, D., LeBlond, P., 1989. Spectral evolution of wind-generated surface gravity waves in a dispersed ice field. J. Fluid Mech. 202, 111–136] since it is derived from their equation. Furthermore, the linear Boltzmann equation is also derived independently using the argument in Meylan et al. [Meylan, M.H., Squire, V.A., Fox, C., 1997. Towards realism in modeling ocean wave behavior in marginal ice zones. J. Geophys. Res. 102 (C10), 22981–22991]. We also present details of how the scattering kernel in the linear Boltzmann equation is found from the scattering by an individual ice floe and show how the linear Boltzmann equation can be solved straightforwardly in certain cases.  相似文献   

A General Linear Wave Theory for Water Waves Propagating over Uneven Porous Bottoms   总被引：1，自引：0，他引：1  

锁要红  黄虎 《中国海洋工程》2004,18(1):163-171

Starting from the widespread phenomena of porous bottoms in the near shore region, considering fully the diversity of bottom topography and wave number variation, and including the effect of evanescent modes, a general linear wave theory for water waves propagating over uneven porous bottoms in the near shore region is established by use of Green‘s scond identity. This theory can be reduced to a number of the most typical mild-slope equations curreutly in use and provide a reliable research basis for follow-up development of nonlinear water wave theory involving porous bottoms.  相似文献   

Marine tether dynamics: retrieval and deployment from a heaving platform     

R. E. Baddour  W. Raman-Nair 《Ocean Engineering》2002,29(13):550-1661

A tether management system of a winch module in a marine environment is proposed. For the purpose of this study the subsea body is considered as a mass attached at the free end of a long tether which is wrapped around a circular drum controlled by an external torque. The winch is considered mounted on a heaving platform. The effect of the heaving platform on the motions of the drum, tether and attached mass are studied with respect to the longitudinal vibrations of the tether in one dimension. The hydrodynamic effects are considered on the deployed portion of the tether and the tethered mass, both of which are assumed submerged in otherwise still water. The resulting nonlinear system of equations of motion is developed and solved numerically for an example of a marine tether system. The effect of the tether extensibility on the operation threshold of the system is identified. Comparison with an inextensible tether case is provided. The numerical results and their analysis for the retrieval/deployment of the system are presented.  相似文献   

一种推广的缓坡方程   总被引：4，自引：3，他引：4  

潘军宁  洪广文等 《海洋工程》2001,19(1):24-31

从流体力学基本方程出发，假定水流的涡量和垂向流速分量小量，推导出考虑非均匀水流的推广的缓坡方程，该方程中包含了△h^2h项和（△hh)^2项。在方程中引入底摩擦项、风能输入项和非线性项，其中风能输入项的推导考虑了风浪与涌浪的区别，风流情况依据青岛海洋大学的风浪成长经验关系，涌浪情况依据Snyder等人的观测结果。经过上述推广后，得到综合考虑折射、绕射、反射、非均匀水流、底摩擦损耗、风能输入及波浪非线性的推广的缓坡方程。  相似文献   

先锋孤立子生成的理论平均波阻(Ⅰ).理论     

徐肇廷  楼顺里  徐昱 《中国海洋大学学报(自然科学版)》1996,(2)

根据作者导得的AfKdV方程，理论上确定了先锋孤立子生成问题的理论平均波阻，能量劈分及能量劈分比。本文的能量劈分是确定先锋孤立子生成参数的理论基础。同时，本理论确定了现有理论中的自由未知参数问题，从而使先锋孤立子生成参数得到理论预报。  相似文献   

Hammerstein型非线性积分方程解的存在性     

白锦东  刘秀元 《中国海洋大学学报(自然科学版)》2002,32(1):152-158

该文采用化为积分方程组的方法 ,利用锥上不动点指数计算 ,在不要求非线性项 f (x,u)非负的情况下 ,证明 Hammerstein型非线性积分方程 φ(x) =∫Gκ(x,y) f (y,φ(y) ) dy非平凡解和多解存在性的一些新的结果。此结果可用来证明非线性常微分方程两点边值问题解的存在性。  相似文献