Boussinesq 方程组的一个精确解     

李春雁 《海洋与湖沼》1990,21(3):236-240

浅水波的Boussinesq方程组是弱频散的、非线性的,它与Kdv方程有一定联系,但并不等价。本文给出这个方程组的一个孤立波精确解。它含有两个方向传播的孤立波,其一阶近似包括了Kdv方程的精确解,而零阶近似则为波峰处导数不连续的奇异解。  相似文献   

Probabilistic Models for the Probability of Wave Breaking and Whitecap Coverage Based on Kinematic Breaking Criterion     

郑桂珍  徐德伦 《中国海洋工程》2004,18(3):357-370

More and more researches show that neither the critical downward acceleration nor the critical slope of water waves is a universal constant. On the contrary, they vary with particular wave conditions. This fact moders the models either for the probability of wave breaking B or for the whitecap coverage W based on these criteria difficult to apply. In this paper and the one which follows we seek to develop models for the prediction of both B and W based on the kinematical criterion. First, several joint probabihstic distribution functions (PDFs) of wave characteristics are derived, based on which the breaking properties B and W are estimated. The estimation is made on the assumption that a wave breaks ff the horizontal velocity of water particles at its crest exceeds the local wave celerity, and whitecapping occurs in regions of fluid where water particles travel faster than the waves. The consequent B and W depend on wave spectral moments of orders 0 to 4.Then the JONSWAP spectrum is used to represent the fetch-limited sea waves in deep water, so as to relate the probahility of wave breaking and the whitecap coverage with wind parameters. To this end, the time-averaging technique proposed by Glazman (1986) is applied to the estimation of the spectral moments involved, and furthermore, the theoretical models are compared with available observations collected from published literature. From the comparison, the averaging time scale is determined. The final models show that the probability of wave breaking as well as the whitecap coverage depends on the dimensionless fetch. The agreement between these models and the database is reasonable.  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   

Analytic Solution of Interaction Between Surface Waves and Floating Elastic Plates with Elastic End-Restraints     

赵存宝张嘉钟  邢海燕黄文虎 《中国海洋工程》2007,21(1):23-38

Based on the dynamic theories of water waves and Mindlin plates,the analytic solution of interaction between surface waves and two-dimensional floating elastic plates with edge-restraint is constructed by use of the Wiener-Hopf technique.Firstly,without regard for elastic edge restraint,the wave-induced responses of elastic floating plate analyzed by the present method are in good agreement with the results from literature and experimental results.Therefore,it can be shown that the present method is valid.Secondly,three end-restraint cases(i.e.,the left-end elastic restraints,the both-end elastic restraints,and the right-end elastic restraints)are proposed to reduce the vibration of floating plates,in which the spring is used to connect the sea bottom and the floating plate's left(or right)edge.The relations between the spring stiffness and the parameters of wave-induced responses of floating plates are discussed.Moreover,the effective method to reduce the vibration of floating elastic plates can be obtained through comparison.  相似文献   

迎风有限元法在三维潮流数值模拟中的应用   总被引：4，自引：0，他引：4  

董文军  陈虹 《海洋与湖沼》1997,28(3):320-327

为研究和开发迎风有限元法在河口海岸三维波数值模拟中的应用，并为建立三维物质扩散模型，最终为解决实际工程问题打下基础，以非线性浅水波方程为基础，采用一咱平面迎风有奶元与垂向工有限差分相结合地数值计算方法建立三维潮流数学模型，基地实际的物理过程，在计算中将三维流动分成外重力波和内重力波，耦联求解潮位和流速的空间分布。应用本模式计算了天津新港附近渤海海域的三维潮流运动，以较高的分辩率揭示了潮流空间结构特  相似文献   

水波在软淤泥底床上的衰减     

周显初  王剑峰 《海洋工程》1994,12(3):54-64

本文研究了二层流体系统中波浪的衰减。上层为理想流体，下层为粘弹性Ｖｏｉｇｔ体。导出了色散关系，计算了波浪衰减系数。对于粘性或弹性很大或很小的情况，导出了各种水深情况下近似的显式的衰减系数表示式。与精确的数值结果比较，近似程度很好。可供工程设计参考、使用。  相似文献   

长江倒灌鄱阳湖原因及发生条件的量化指标   总被引：1，自引：0，他引：1       下载免费PDF全文

王志寰  朱立俊  王建中  范红霞  陈槐  刘贝贝 《水科学进展》1990,31(2):203-213

江湖倒灌对鄱阳湖流域水动力变化和流域水环境保护等方面有重要影响,正确认识江湖倒灌原因和倒灌发生条件对明晰江湖倒灌作用机理、研究倒灌强度和倒灌影响范围等方面具有重要意义。在剖析江湖倒灌原因的基础上,从非恒定流洪水波传播的角度出发,结合鄱阳湖为"河相"、"湖相"时江湖倒灌的特点,提出了长江作用强度指标和鄱阳湖作用强度指标,在此基础上引入江湖作用综合强度函数,依据实测资料,分析研究了江湖作用综合强度函数的关系表达式、江湖倒灌发生条件及量化指标。经验证,所提出的江水倒灌量化指标可区分江湖顶托和江湖倒灌现象,可实现对鄱阳湖为"河相"、"湖相"时的江湖倒灌预测,且提高了预测江湖倒灌起止时间、总历时和年内发生次数的准确率,成果可用于江湖关系研究和鄱阳湖流域水资源综合利用工程实践中。  相似文献   

洪水波分析及波型的模糊识别     

张硕辅 《水文》1989,(6):36-40

一、引言圣维南方程组通常被用来描述河渠中的非恒定的流动,对应于动量方程的不同形式与连续方程的组合,则可得到动力波,惯性波、扩散波和运动波等不同洪水波模型。动量方程中保留所有的项,即得通常所说的动力波,本文称为全方程情形,亦指除惯性  相似文献   

集成于方箱防波堤的双气室振荡水柱波能装置转换效率研究     

郭权势  邓争志  万占鸿 《海洋工程》2022,40(2):106-117

为实现建造、运行和维护等方面的资源共享,将振荡水柱(oscillating water column,简称OWC)波能转换装置与现有海工结构集成耦合,已成为目前海洋波浪能转换利用的热点问题。以集成于方箱防波堤的双气室OWC装置为研究对象,借助开源代码平台OpenFOAM和造/消波工具箱waves2Foam,采用流体体积法(VOF)捕捉自由面和6自由度(6DOF)动网格求解器模拟垂荡运动响应,对在不同规则波作用下,中墙相对宽度、中墙相对吃水对装置波能转换效率及水动力特性的影响进行数值研究。结果表明,较大的中墙相对宽度能够增强装置的波能转换效率(ξ_total(max)=73%)、降低结构物的相对垂荡位移并对装置前后气室内水柱的振荡幅度与压强变化产生影响;增加中墙相对吃水能显著提高气室在中高频波段波能提取效率(ξ_total(max)=78%),并显著拓宽气室的高效频率带宽(0.9≤ω²h/g≤2.2)。  相似文献   

Water wave solutions obtained by variational method     

杨红丽宋金宝  杨联贵 《中国海洋湖沼学报》2006,24(1):87-91

Abstract Variational problem for irrotational, incompressible inviscid fluid in finite water depth is considered. Based on the variational principle, a special solution of the problem is presented under the assumption that the dispersion /u and the nonlinearity ?satisfied e = O(fj2) as the Lagrange function is expanded up to O(//). It is shown that the elevation of the free surface should be expanded to // order to ensure the Lagrange function is in fj* order. Comparison the nonlinear free surface profiles obtained from the solution with the corresponding ones obtained from linear solutions showed that the wave crest of the nonlinear wave is steepened but the trough is flattened compared to the linear wave as expected.  相似文献