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1.
MO Jiaqi WANG Hui LIN Wantao 《中国地理科学(英文版)》2006,16(4):347-350
1 Introduction The western boundary currents, counter undercurrents observed in the thermocline were studied in many ref- erences (Qu et al., 1997; Wang and Hu, 1998; Huang, 1991). The existence of the western boundary undercur- rents suggests the baroclinity of western boundary cur- rents, so the results of the study on their baroclinic structure and dynamics should have strong bearing on the baroclinic theory of oceanic circulation. However, be- cause of their late discovery, the baroclini… 相似文献
2.
El Ni(n)o and Southern Oscillation(ENSO)is an interannual phenomenon involved in the tropical Pacific sea-air interactions.An asymptotic method of solving equations for the ENSO model is proposed.Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration,the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied.Firstly,by introducing a set of functionals and computing the variationals,the Lagrange multipliers are obtained.And then,the generalized variational iteration expressions are constructed.Finally,by selecting appropriate initial iteration,and from the iterations expressions,the approximations of solution for the sea-air oscillator ENSO model are solved successively.The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied.It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pa-cific of the sea-air oscillator for ENSO model. 相似文献
3.
El Niño and Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific sea-air interactions. An asymptotic method of solving equations for the ENSO model is proposed. Based on a class of oscillator of ENSO model and by employing a simple and valid method of the variational iteration, the coupled system for a sea-air oscillator model of interdecadal climate fluctuations is studied. Firstly, by introducing a set of functionals and computing the variationals, the Lagrange multipliers are obtained. And then, the generalized variational iteration expressions are constructed. Finally, by selecting appropriate initial iteration, and from the iterations expressions, the approximations of solution for the sea-air oscillator ENSO model are solved successively. The approximate dissipative travelling wave solution of equations for corresponding ENSO model is studied. It is proved from the results that the method of the variational iteration can be used for analyzing the sea surface temperature anomaly in the equatorial Pacific of the sea-air oscillator for ENSO model. 相似文献
4.
王玉春 《成都信息工程学院学报》2009,24(1)
为分析具有高非线性强度下的偏微分方程的初值问题,简化变量分离等方法带来的繁杂计算,研究了一类完全非线性Sine-Gordon方程以及它的近似方程(在|up|很小的情况下),经过适当的函数变换,运用改进的Ado-mian分解法解决了一些特殊情况下它们的初值问题,结合Talyor级数展开式,得到了一些精确解:扭结解(kink)、紧孤子解(compacton)、多重紧孤子解、compacton-kink解.另外运用线性化的方法结合不同形式的解得到它们一些更加丰富的新形式的精确解. 相似文献
5.
A coupled system of the interdecadal sea-air oscillator model is studied.The El Nio-southern oscillation(ENSO) atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions.The oscillator model is involved with the variations of both the eastern and western Pacific anomaly pat-terns.This paper proposes an ENSO atmospheric physics model using a method of the perturbation theory.The aim is to create an asymptotic solving method for the ENSO model.Employing the perturbed method,the asymptotic solution of corresponding problem is obtained,and the asymptotic behaviour of the solution is studied.Thus we can obtain the prognoses of the sea surface temperature anomaly and related physical quantities. 相似文献
6.
This paper considers the optimal trajectory tracking control problem for near-surface autonomous underwater vehicles (AUVs) in the presence of wave disturbances. An approximate optimal tracking control (AOTC) approach is proposed. Firstly, a six-degrees-of-freedom (six-DOF) AUV model with its body-fixed coordinate system is decoupled and simplified and then a nonlinear control model of AUVs in the vertical plane is given. Also, an exosystem model of wave disturbances is constructed based on Hirom approximation formula. Secondly, the time-parameterized desired trajectory which is tracked by the AUV’s system is represented by the exosystem. Then, the coupled two-point boundary value (TPBV) problem of optimal tracking control for AUVs is derived from the theory of quadratic optimal control. By using a recently developed successive approximation approach to construct sequences, the coupled TPBV problem is transformed into a problem of solving two decoupled linear differential sequences of state vectors and adjoint vectors. By iteratively solving the two equation sequences, the AOTC law is obtained, which consists of a nonlinear optimal feedback item, an expected output tracking item, a feedforward disturbances rejection item, and a nonlinear compensatory term. Furthermore, a wave disturbances observer model is designed in order to solve the physically realizable problem. Simulation is carried out by using the Remote Environmental Unit (REMUS) AUV model to demonstrate the effectiveness of the proposed algorithm. 相似文献
7.
多源、多类、多时态非线性数据处理的整体降维解算 总被引：6，自引：0，他引：6
针对当今各国十分关注、大力倡导的“数字地球”、“数字国家”、“数字矿山”等科学工程构建中的多源，多维、多类型，多时态，多糖度并具有非线性特征的数据处理，及其函数模型中同时包含有非随机参数和随机参数，而随机参数又常常是随时间动态变化的情况，如仍采用经典的最小二乘处理方法或一般的非线性最小二乘数据处理方法，是不准确、不科学的。为此，提出了一种新的数据处理方法，即广州非线性动态最小二乘数据处理方法。针对广州非线最小二乘问题维数高的特殊结构，在已研究提出的分离迭代求解模型的基础上，提出了另一种新的整体降维解算的模型和算法，使原问题庞大的高维方程组的解算得以简化，将待求参数分离求解，大大减少了计算工作量，为多源，多维，多类型，多时态，多精度的非线性数据处理开辟了另一新途径。 相似文献
8.
һ�ֽ����ع�ģ�͵��·��� 总被引：2，自引：0，他引：2
?????????С????????????????д???????????????????????????·????????????????????????????鷽????????????????С?????????????鷽??????????????????????μ???????????????????÷???????Ч??????α????????? 相似文献
9.
监测网的精度是通过它的网形和观测方案来实现，因而研究设计合理的观测网形和观测方案有很重要的意义。针对以往一、二类设计分开单独进行解算不可能求得整体上最优，提出了非线性一、二类同步设计的新方法。该方法将一、二类设计的决策变量在一个模型中解算，可获得整体最优解。 相似文献
10.
Many studies have been done on the heave-pitch unstable coupling response for a spar platform by a 2-DOF model. In fact, in addition to the heave and pitch which are in one plane, the nonlinear unstable motion will also occur in roll. From the results of the experiments, the unstable roll motion plays a dominant role in the motion of a spar platform which is much stronger than that of pitch. The objective of this paper is to study 3-DOF coupling response performance of spar platform under wave and vortex-induced force. The nonlinear coupled equations in heave, roll and pitch are established by considering time-varying wet surface and coupling. The first order steady-state response is solved by multi-scales method when the incident wave frequency approaches the heave natural frequency. Numerical integration of the motion equations has been performed to verify the first-order perturbation solution. The results are confirmed by model test. There is a saturation phenomenon associated with heave mode in 3-DOF systems and all extra energy is transferred to roll and pitch. It is observed that sub-harmonic response occurs in roll and pitch when the wave force exceeds a certain value. The energy distribution in roll and pitch is determined by the initial value and damping characteristics of roll and pitch. The energy transfers from heave to pitch and then transfers from pitch to roll. Due to the influence of the low-frequency vortex-excited force, the response of roll is more complicated than that of pitch. 相似文献
11.
提出一种基于Levenberg-Marquarat算法的非线性三维直角坐标转换方法,在法矩阵病态或者奇异时依然有效,并通过修正旋转角参数的方法,有效解决了平移量与旋转角量纲不同造成的迭代发散问题。设计出简洁有效的迭代求解模式,获得了稳定的参数解。最后通过模拟数据对比分析,证明该方法的有效性和正确性。 相似文献
12.
Damping is critical for the roll motion response of a ship in waves. A common method for the assessment of damping in a ship's rolling motion is to perform a free-decay experiment in calm water. In this paper, we propose an approach for estimating nonlinear damping that involves a linear exponential analytical approximation of the experimental roll free-decay amplitudes, followed by parametric identification based on the asymptotic method. The restoring moment can be strongly nonlinear. To validate this method, we first analyzed numerically simulated roll free-decay data using rolling equations with two alternative parametric forms: linear-plus-quadratic and linear-plus-cubic damping. By doing so, we obtained accurate estimates of nonlinear damping coefficients, even for large initial roll amplitudes. Then, we applied the proposed method to real free-decay data obtained from a scale model of a bulk barrier, and found the simulated results to be in good agreement with the experimental data. Using only free-decay peak data, the proposed method can be used to estimate nonlinear roll-damping coefficients for conditions with a strongly nonlinear restoring moment and large initial roll amplitudes. 相似文献
13.
MO Jia-qi LIN Yi-hua WANG Hui 《中国地理科学(英文版)》2005,15(3):227-230
1IN T R O D U C T IO NInteractionsbetween the ocean and atmosphere con-tributeto climatefluctuationosver a broad spectrum oftime scales.Studiesof those interactionhsave farfo-cused on El Ni o-SouthernOscillation(ENSO)phe-nomenon thathas a period of3to4yea… 相似文献
14.
基于泰勒级数展开的近似函数法在求解非线性函数的中误差时需要进行复杂的导数计算,已有的Monte Carlo法虽然可以避免导数运算,但在模拟次数的选择上不具有客观性,且无法直接控制模拟结果。因此,将Stein两阶段法融入非线性函数的协方差传播理论中,并与Monte Carlo方法结合,设计了一套非线性函数协方差传播的Stein Monte Carlo算法流程。将该方法用于二维多项式函数和GNSS基线向量的协方差传播计算中,实验结果验证了其有效性,为非线性模型协方差传播的计算提供了一种新思路。 相似文献
15.
Joseph Hun-wei Lee 《中国海洋湖沼学报》1984,2(1):20-33
Numerical solution of two-dimensional shallow water equations has been achieved by the finite element method. In this work, the governing equations were first converted into different equations suitable for explicit, forward marching, integration in the time domain. A second order Taylor's series expansion was used for the continuity equation and an "upwind" differencing was incorporated in the nonlinear convective terms in the momentum equations.The model was applied to Tolo Harbour in Hong Kong. Velocity vector plots and surface elevations obtained from the calculations are reasonably consistent with the expected tidal response of the systems. 相似文献
16.
对具有任意阶非线性薛定谔方程的行波解进行了研究。给出具有任意阶非线性薛定谔方程的精确解。利用行波变换和辅助函数法把具有任意阶非线性薛定谔方程最终转化为一个非线性常微分方程的解,通过对这个微分方程的研究可以得到具有任意阶非线性薛定谔方程的行波解。具有任意阶非线性薛定谔方程存在的孤立波解、三角孤立波解、扭孤立波解、Jacobi椭圆函数解。得到了具有任意阶非线性薛定谔方程新的Jacobi椭圆函数解。 相似文献
17.
勒让德方程两个线性无关的解,分别称为第一类和第二类勒让德函数。在微分方程取本征值情况下,第一类勒让德函数中断为多项式,因此自变量可取任意值(无穷大除外);第二类勒让德函数仍然为无穷级数,当自变量等于±1时发散,绝对值大于1时收敛。由于勒让德方程属于超比方程类型,给出此类型方程不同特殊函数的任意阶导数表达式。在此基础上直接给出第一类勒让德函数的超比表达式,及其与其他特殊函数的理论关系;鉴于求解第二类勒让德函数的复杂性,利用级数展开方法,直接给出第二类勒让德函数的超比表达式。 相似文献
18.
王西文 《地球科学与环境学报》1990,(2)
重磁线性反演最后都要归结于解数据方程。由于重磁数据方程是奇异方程,通常大多数解方程组的方法都失效。因此,本文采用了正则化方法,通过模型试验,证明了该方法具有解奇异方程和压制高频干扰的功能。为了保证反演结果的可靠,本文提出了一套比较可行的处理资料过程。最后,反演计算了山西太原盆地的莫霍面和居里等温而,其结果与已有的地质、地球物理资料相吻合。 相似文献
19.
The thermally and wind-driven ocean circulation is a complicated natural phenomenon in the atmospheric physics. Hence we need to reduce it using basic models and solve the models using approximate methods. A non-linear model of the thermally and wind-driven ocean circulation is used in this paper. The results show that the zero solution of the linear equation is a stable focus point, which is the path curve trend origin point as time (t) trend to infinity. By using the homotopic mapping perturbation method,... 相似文献
20.
罗德海 《成都信息工程学院学报》1993,(4)
本文在基本气流具有水平切变的情况下,利用摄动法导出了非线性Rossby波所满足的三阶Zakharov方程,然后,考虑了基流具有弱切变的情况,通过使用三阶Zakharov方程研究了Rossby波列的第一类不稳定性问题。结果表明:通过非线性作用,大气中的Rossby波列可产生调制不稳定。同时,本文对这种不稳定的区域,增长率和周期进行了详细的计算,并讨论了波振幅、波数、纬度和基流切变对它们的影响,指出Rossby波列的调制不稳定可以激发30～60天的低频振荡。 相似文献