共查询到20条相似文献，搜索用时 55 毫秒
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在流体力学中,描述流体运动有Lagrange方法和Euler方法.Euler方法是通过观测通过空间各固定位置点处流体质点的运动行为来描述流体运动规律,而Lagrange方法是跟踪各个流体质点,通过观测它们在时空运动中所走过的路径来描述流体的运动规律.在数学处理上,Euler方法较Lagrange方法简单,但Lagrange方法可以完全描述流体运动的整个流场的所有特性,而Euler方法却无法描述每个流体质点的运动轨迹.本文,我们研究具有刚性边界的三层流体系统中的界面内波,其中上层流体的密度比下层流体的密度大.通过在界面处引入朗格朗日匹配条件并使用微扰法得到了拉格朗日描述下的界面内波的一阶解、二阶解及三阶解,给出了质量输运速度、波频率、平均水平和质点运动轨迹的解.结果表明对于质量输运速度、波频率、平均水平和质点运动轨迹在界面处会有不连续性,但是我们发现在满足一定的三层流体水深比和密度比条件时这种不连续性将会消失. 相似文献
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基于有限深两层流体KdV(Korteweg-de Vries)、eKdV(extended KdV)和MCC(Miyata-Choi-Camassa)理论,以内孤立波诱导上下层深度平均水平速度为入口边界条件,采用理想流体完全非线性欧拉方程,建立了两层流体中内孤立波生成的CFD(Computational Fluid Dynamics)数值模拟方法。以系列数值模拟结果为依据,结合内孤立波非线性和色散参数的组合条件,给出了选择合适内孤立波理论解作为CFD数值模拟入口边界条件的方法,从而实现了振幅与波形可控的内孤立波完全非线性数值模拟。 相似文献
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基于梯度序列提出了1种构造非等谱演化方程族的零曲率方程的方法,作为例子讨论了由谱参数泛函梯度产生梯度序列时的特殊情况. 相似文献
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根据基于两层流体推导的深海内波弱非线性薛定谔(Nonlinear Schrodinger,简称NLS)方程,引进空间啁啾的思想,研究深海区频散效应和非线性效应的作用。文中推导出了频散效应和非线性效应所致啁啾的表达式,采用数值计算方法计算了综合效应产生的总啁啾。分析了频散和非线性以及综合效应所致啁啾在深海内波传播中的演变规律。从空间啁啾的角度,解释中国南海东沙群岛附近深海区内波演变的机理。 相似文献
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一类非线性系统次优控制的灵敏度法 总被引：1，自引：0，他引：1
本文研究一类非线性定常系统的次优控制问题。通过在系统中引入 1个灵敏度参数并将系统变量关于灵敏度参数展开 Maclaurin级数 ,使求解最优控制的非线性两点边值问题化为一族线性两点边值问题。利用截取最优控制级数的有限项求得系统的次优控制律。仿真实例表明 ,该方法对非线性系统次优控制律的设计是有效的 相似文献
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Peijun Zhang ;Qiang Wang ;Libin Ma 《海洋湖沼学报（英文）》2015,33(1):252-261
Based on a barotropic inflow-outflow model, we examine the formation of the Kuroshio large meander (LM) using conditional nonlinear optimal perturbation (CNOP) method. Both linear and nonlinear evolutions of such perturbations obtained by this method are investigated. The results show that the nonlinear evolution can result in the Kuroshio transition from a straight to LM path, whereas the linear evolution cannot. This implies that nonlinearity plays an important role in the formation of the Kuroshio LM path. The nonlinearity exists as advection in the evolution equations of the perturbation derived from the barotropic inflow-outflow model, namely the nonlinear advection of the perturbation by the perturbation (NAPP). By examining the role of this nonlinearity, we find that the NAPP tends to move the cyclonic eddy induced by the CNOP-type perturbation westward. Together with the beta effect, this offsets part of the eastward advection caused by the interaction between the perturbation and the background flow. Hence, the eastward movement of the cyclonic eddy is significantly weakened, effectively causing the eddy to develop. The sufficient evolution of this cyclonic eddy leads to the formation of the Kuroshio LM. 相似文献
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Qiang Wang ;Libin Ma ;Qiangqiang Xu 《海洋湖沼学报（英文）》2013,31(5):1153-1161
We used the conditional nonlinear optimal perturbation (CNOP) method to explore the optimal precursor of the transition from Kuroshio large meander (LM) to straight path within a barotropic inflowout-flow model, and found that large amplitudes of the optimal precursor are mainly located in the east of Kyushu, which implies that perturbations in the region are important for the transition from LM to straight path. Furthermore, we investigated the transition processes caused by the optimal precursor, and found that these processes could be divided into three stages. In the first stage, a cyclonic eddy is advected to the formation region of the Kuroshio large meander, which enhances the LM path and causes a cyclonic eddy to shed from the Kuroshio mainstream. This process causes the LM path to change into a small meander path. Subsequently, the small meander is maintained for a period because the vorticity advection is balanced by the beta effect in the second stage. In the third stage, the small meander weakens and the straight path ultimately forms. The positive vorticity advecting downstream is responsible for this process. The exploration of the optimal precursor will conduce to improve the prediction of the transition processes from LM path to straight path, and its spatial structure can be used to guide Kuroshio targeted observation studies. 相似文献
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王大鸿 《中国海洋大学学报(自然科学版)》1987,(2)
用微扰动方法对旋转地球上不可压缩流体的控制方程组进行线性化,得到了扰动解和流体界面上惯性重力波的频率方程。表面惯性重力波和惯性重力内波的相速公式都是这个更普遍的频率方程的特殊情况。 相似文献
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Guang’an Zou ;Qiang Wang ;Mu Mu 《海洋湖沼学报（英文）》2016,34(5):1122-1133
Sensitive areas for prediction of the Kuroshio large meander using a 1.5-layer, shallow-water ocean model were investigated using the conditional nonlinear optimal perturbation (CNOP) and first singular vector (FSV) methods. A series of sensitivity experiments were designed to test the sensitivity of sensitive areas within the numerical model. The following results were obtained: (1) the eff ect of initial CNOP and FSV patterns in their sensitive areas is greater than that of the same patterns in randomly selected areas, with the eff ect of the initial CNOP patterns in CNOP sensitive areas being the greatest; (2) both CNOP- and FSV-type initial errors grow more quickly than random errors; (3) the eff ect of random errors superimposed on the sensitive areas is greater than that of random errors introduced into randomly selected areas, and initial errors in the CNOP sensitive areas have greater eff ects on final forecasts. These results reveal that the sensitive areas determined using the CNOP are more sensitive than those of FSV and other randomly selected areas. In addition, ideal hindcasting experiments were conducted to examine the validity of the sensitive areas. The results indicate that reduction (or elimination) of CNOP-type errors in CNOP sensitive areas at the initial time has a greater forecast benefit than the reduction (or elimination) of FSV-type errors in FSV sensitive areas. These results suggest that the CNOP method is suitable for determining sensitive areas in the prediction of the Kuroshio large-meander path. 相似文献
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Interfacial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order and full nonlinearity are considered, the equations include the Choi and Camassa’s results (1999). The enhanced equations in terms of the depth-averaged velocities are obtained by applying the enhancement technique introduced by Madsen et al. (1991) and Schaffer and Madsen (1995a). It is noted that the equations derived from the present study include, as special cases, those obtained by Madsen and Schaffer (1998). By comparison with the dispersion relation of the linear Stokes waves, we found that the dispersion relation is more improved than Choi and Camassa’s (1999) results, and the applicable scope of water depth is deeper. 相似文献
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Marine structures are mostly made of metals and always experience complex random loading during their service periods. The fatigue crack growth behaviors of metal materials have been proved from laboratory tests to be sensitive to the loading sequence encountered. In order to take account of the loading sequence effect, fatigue life prediction should be based on fatigue crack propagation (FCP) theory rather than the currently used cumulative fatigue damage (CFD) theory. A unified fatigue life prediction (UFLP) method for marine structures has been proposed by the authors’ group. In order to apply the UFLP method for newly designed structures, authorities such as the classification societies should provide a standardized load-time history (SLH) such as the TWIST and FALSTAFF sequences for transport and fighter aircraft. This paper mainly aims at proposing a procedure to generate the SLHs for marine structures based on a short-term loading sample and to provide an illustration on how to use the presented SLH to a typical tubular T-joint in an offshore platform based on the UFLP method. 相似文献
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A class of coupled system of the E1 Ni(n)o/La Ni(n)a-Southern Oscillation (ENSO) mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behavior of solution for corresponding problem is considered. 相似文献
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A class of coupled system of the El Niño/La Niña-Southern Oscillation (ENSO) mechanism is studied. Using the perturbed theory, the asymptotic expansions of the solution for ENSO model are obtained and the asymptotic behavior of solution for corresponding problem is considered. 相似文献
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使用球坐标下1.5层约化重力浅水模式模拟海洋风生双环流,结果显示双环流射流存在拉伸模态和收缩模态间的年际变化。以双环流从拉伸模态向收缩模态的转变过程为背景场,利用条件非线性最优扰动(CNOP)方法,考察初始误差对双环流变异可预报性的影响,得到两类初始误差:全局CNOP型和局部CNOP(LCNOP)型,两类初始误差对双环流变异的影响几乎相反。通过考察误差发展,发现在射流从拉伸模态向收缩模态转变过程中,CNOP型初始误差使射流弯曲程度变大,并在预报时刻导致涡脱落;而LCNOP型初始误差则使射流弯曲程度变小。相比LCNOP,CNOP型初始误差引起更大预报误差,导致双环流变异的预报技巧下降更多。两类误差得到较大发展的区域可能存在正压不稳定,使误差能够不断从背景场吸收能量进而得到快速发展。给出了两类使双环流变异预报技巧下降最大的初始误差,在实际的数值预报中减少这两种类型的误差,将有助于提高双环流变异的预报技巧。 相似文献
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