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1.
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
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分层流体中内孤立波在潜浮式竖直薄板上透射和反射 总被引:2,自引:0,他引:2
采用边缘层理论研究了两层流体系统中内孤立波在潜浮式竖直薄板上的透射和反射问题,提出了非线性演化方程的“初值”条件,分析了内孤立波与薄板非线性相互作用的效应。研究表明:流体层的密度比以及薄板伸入上下层的深度对于反射和透射波结构具有显著的影响,薄板伸入下层越深、密度差越小,则薄板阻碍孤立波透射的效率越高;透射波通常演化为单峰孤立波和迅速衰减的尾波,反射波演化为缓慢衰减的尾波列;对于具有小密度差的跃层结构,内孤立波在潜浮式竖直薄板上的透射及其演化近乎是无障碍的。 相似文献
3.
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
4.
The upper layer (above 140 m depth) temperature in the western Philippine Sea near Taiwan was sampled using a coastal monitoring
buoy (CMB) with 15 attached thermistors during July 28–August 7, 2005. The data were collected every 10 min at 1, 3, 5, 10,
15, and 20 m using the CMB sensors, and every 15 sec at 15 different depths between 25 m and 140 m. Internal waves and solitons
were identified from the time-depth plot of the temperature field. Without the internal waves and solitons, the power spectra,
structure functions, and singular measures (representing the intermittency) of temperature field satisfy the power law with
multi-scale characteristics at all depths. The internal waves do not change the basic characteristics of the multifractal
structure. However, the internal solitons change the power exponent of the power spectra drastically, especially in the low
wave number domain; they also break down the power law of the structure function and increase the intermittency parameter.
The physical mechanisms causing these different effects need to be explored further. 相似文献
5.
Physical universals in problem of precursor soliton generation 总被引:1,自引:0,他引:1
Six physical universals and two general relations in the problem of locally forced precursor soliton generation are found
thcoretically in terms of the AfKdV equation derived by authors. These six universals and two general relations are examined
by experiment and numerical calculation of two-layer flow based on the canonical character of the coefficients of tlie fKdV
equations. From comparisons among the theoretical, numerical and experimental results, it is shown that they are in good agreement.
There is not any free parameter in this theory, so the theory of the present paper can be used to predict thc wave properties
of locally forced precursor soliton generation.
Project supported hy Foundation of the State Education Commission for The Dynamics of Upper Ocean and grants of Physical Oceanography
Laboratory of Ocean University of Qingdao. 相似文献
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一个两时间层分裂显格式海洋环流模式(MASNUM)及其检验 总被引:1,自引:0,他引:1
HAN Lei 《海洋学报(英文版)》2014,33(11):11-35
A two-time-level, three-dimensional numerical ocean circulation model(named MASNUM) was established with a two-level, single-step Eulerian forward-backward time-differencing scheme. A mathematical model of large-scale oceanic motions was based on the terrain-following coordinated, Boussinesq, Reynolds-averaged primitive equations of ocean dynamics. A simple but very practical Eulerian forward-backward method was adopted to replace the most preferred leapfrog scheme as the time-differencing method for both barotropic and baroclinic modes. The forward-backward method is of second-order of accuracy, computationally efficient by requiring only one function evaluation per time step, and free of the computational mode inherent in the three-level schemes. This method is superior to the leapfrog scheme in that the maximum time step of stability is twice as large as that of the leapfrog scheme in staggered meshes thus the computational efficiency could be doubled. A spatial smoothing method was introduced to control the nonlinear instability in the numerical integration. An ideal numerical experiment simulating the propagation of the equatorial Rossby soliton was performed to test the amplitude and phase error of this new model. The performance of this circulation model was further verified with a regional(northwest Pacific) and a quasi-global(global ocean simulation with the Arctic Ocean excluded) simulation experiments. These two numerical experiments show fairly good agreement with the observations. The maximum time step of stability in these two experiments were also investigated and compared between this model and that model which adopts the leapfrog scheme. 相似文献
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VELOCITIES OF PRECURSOR SOLITON GENERATION IN SINGLE LAYER FLOW 总被引:3,自引:0,他引:3
ImODUcrIONThegeneratingveodtyofprecmeorsolitonswasstudiedbyGrimshawetal.(l986),Wu(l987)andbeetal.(1989).TheydidnotgivetherelationbeweenthegeneratingvelocitiesandtopographyintenSityandthereexistSanunknownparameterh,inthetheoryofboetal.(l989),sotheprevioustheorycannotprediCtthegeneratingvelodtAs.ThisfurtherstudyonthetheoryofXuetal.(l996)ahetoconstIUCtatheoryonthegeneratingvefodtiesofsinglelayerflowfondbytopography.InSeCtion2,thernassandenergyoftheprecursorsolitongenerationaredetendnedint… 相似文献
10.
利用准三维的fKdV方程和四区间划分法,理论给出了任意截面的直渠道中先锋孤立子生成的理论平均波阻和区间平均能量的时间变化率。基于fKdV方程系数的正则性,文中结果是Xu等人结果的一个推广。对具有相同截面面积的正方形和等腰三角形截面的渠道及在不同强迫源和强迫源速度条件下,对理论平均波阻和平均生成能的时间变化率进行了数值比较和理论预报。比较指出,理论和数值结果吻合得很好。 相似文献