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   

Numerical modelling of deformation of multi-directional random waves over a varying topography     

Filipa Simes Brito Ferreira Oliveira 《Ocean Engineering》2007,34(2):337-342

Two numerical formulations of the breaking phenomenon were implemented in a numerical model for random wave propagation based on the elliptic formulation of the mild-slope equation. The randomness of the wave field was simulated based on a spectral component method, in which the 3-D spectrum is discretised in components of equal energy. One of the breaking process formulations is based on the concept of breaking each independent spectral component. The other is based on the distribution of the local amount of energy dissipated through the independent spectral components. The model based on the concept of breaking each independent spectral component produces the best estimates of the wave field, when the numerical results are compared with laboratory data.  相似文献   

水下滑翔器的运动建模与分析   总被引：5，自引：2，他引：5  

王树新  李晓平  王延辉  朱光文 《海洋技术学报》2005,24(1):5-9

介绍了水下滑翔器的工作机理，对其沉浮阶段的滑翔过程进行了动力学分析，推导了滑翔器在垂直剖面上的动力学方程。论文深入分析了水下滑翔器稳态时的运动规律，以水下滑翔器试验模型为例，推导了其稳态运动参数，通过线性化与适当的简化，得到模型在垂直剖面上的运动状态方程，讨论了系统的可控性与可观测性，为水下滑翔器系统的开发设计和控制提供了理论依据，具有重要的指导意义。  相似文献   

完全非线性波浪破碎模型沿岸流数值模拟     

李绍武  连怡贞 《海洋工程》2007,25(3):46-52

探讨一种基于完全非线性Boussinesq方程的波浪破碎模型在沿岸流计算中的应用问题。针对控制方程中的完全非线性项对沿岸流成长过程的影响进行了深入讨论。数学模型计算结果表明,完全非线性项有使平均流局部化的作用;通过数模实验还发现,垂向高阶涡度项可以有效抑制破波区外回流;运用Visser的实验室沿岸流实测资料从沿岸流速度、波高和平均水位几方面对所提模型进行了验证,并给出了紊动参数的计算结果。  相似文献   

浅海内波垂直模式方程的一种解析解     

胡涛  高天赋 《海洋学报》2007,29(4):148-151

给出了一些海区实测浮力频率剖面的数学模型.利用超几何函数对内波垂直模式方程进行了解析求解,得到内波模式方程的解析解和频散方程.利用得到的解析解给出了一种理想条件下内波前三阶简正模式的结构.  相似文献   

Parabolic Wave Propagation Modelling in Orthogonal Coordinate Systems     

袁德奎  林斌良肖鸿 《中国海洋工程》2004,18(3):445-456

This paper presents a numerical model study of the propagation of water waves using the parabolic approximation of the mild-slope equation in the orthogonal coordinate system. Two types of coordinate systems are studied: (a) a general form of orthogonal coordinate system and (b) the conformal system, a special form of orthogonal coordinate system. Two typical examples, namely, expanded breakwaters and a circular channel, are studied to validate the model. First, the examples are studied by use of the general orthogonal coordinates. Then the same examples are computed by use of the confonnal system. The computational results show that the confonnal coordinate system generally gives better predictions than the general orthogonal system. A numerical technique for generating the conformal grid is combined with the numerical model to improve the practicability of the model. The comparison between the result from the numerical grid system and that from the analytical grid system shows that reliable computational results can be obtained by use of the numerical confonnal grid system.  相似文献   

非线性中立型时滞微分方程解的振动性   总被引：1，自引：0，他引：1  

郭嫱  张炳根 《中国海洋大学学报(自然科学版)》2003,33(3):483-488

本文研究几类非线性中立型时滞微分方程解的振动性质 ,利用 Riccati不等式和某个不等式得到了保证方程振动的充分条件  相似文献   

Full-range equation for wave boundary layer thickness     

Ahmad Sana  Hitoshi Tanaka 《Coastal Engineering》2007

Full-range equation covering all the flow regimes in a wave boundary layer is proposed for the boundary layer thickness. The results are compared with the available experimental data and good agreement has been found. In case of wave boundary layers, there are three definitions of boundary layer thickness in use. Therefore, the full-range equation is derived for three of the definitions. The findings of this study may be useful in calculating suspended sediment transport in coastal environments and studying wave–current combined motion.  相似文献   

Parameter identification of a compliant nonlinear SDOF system in random ocean waves by reverse MISO method     

R. Panneer Selvam  S. K. Bhattacharyya   《Ocean Engineering》2001,28(9):33

The determination of the drag and inertia coefficients, which enter into the wave force model given by Morison's equation, is particularly uncertain and difficult when a linear spectral model is used for ocean waves, and the structure is compliant and has nonlinear dynamic response. In this paper, a nonlinear System Identification method, called Reverse Multiple Inputs–Single Output (R–MISO) is applied to identify the hydrodynamic coefficients as well as the nonlinear stiffness parameter for a compliant single-degree-of-freedom system. Four different types of problems have been identified for use in various situations and the R–MISO has been applied to all of them. One of the problems requires iterative solution strategy to identify the parameters. The method has been found to be efficient in predicting the parameters with reasonable accuracy and has the potential for use in the laboratory experiments on compliant nonlinear offshore systems.  相似文献   

The effect of temperature on growth of Atlantic cod (Gadus morhua L.)     

Brander  K. M. 《ICES Journal of Marine Science》1995,52(1):1-10

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