Dissipative travelling wave solution for El Niño tropic sea-air coupled oscillator

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.     

VARIATIONAL ITERATION SOLVING METHOD FOR SEA-AIR OSCILLATOR MODEL OF INTERDECADAL CLIMATE FLUCTUATIONS

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…     

Perturbed solving method for interdecadal sea-air oscillator model

A coupled system of the interdecadal sea-air oscillator model is studied.The El Nio-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.     

中尺度MM4模式及其伴随模式

伴随方法是以数值天气预报的动力模作为约束条件的变分方法，相对传统的资料同化方法有很大的进步。介绍美国NCAR的中尺度MM4模式人它的伴随模式MAMSA1，它以一个有限区域的中尺度非线性预的模式模式为基础，采用伴随模式地其进行资料同化和预报。     

A Cluster-Based Method for Marine Sensitive Object Extraction and Representation

Within the context of global change, marine sensitive factors or Marine Essential Climate Variables have been defined by many projects, and their sensitive spatial regions and time phases play significant roles in regional sea-air interactions and better understanding of their dynamic process. In this paper, we propose a cluster-based method for marine sensitive region extraction and representation. This method includes a kernel expansion algorithm for extracting marine sensitive regions, and a field-object triple form, integration of object-oriented and field-based model, for representing marine sensitive objects. Firstly, this method recognizes ENSO-related spatial patterns using empirical orthogonal decomposition of long term marine sensitive factors and correlation analysis with multiple ENSO index. The cluster kernel, defined by statistics of spatial patterns, is initialized to carry out spatial expansion and cluster mergence with spatial neighborhoods recursively, then all the related lattices with similar behavior are merged into marine sensitive regions. After this, the Field-object triple form of O, A, F is used to represent the marine sensitive objects, both with the discrete object with a precise extend and boundary, and the continuous field with variations dependent on spatial locations. Finally, the marine sensitive objects about sea surface temperature are extracted, represented and analyzed as a case of study, which proves the effectiveness and the efficiency of the proposed method.     

AN ENSO-LIKE OSCILLATION SYSTEM

INTRODUCTIONElNi no SouthernOscillation (ENSO)istheinterannualinteractionofocean atmosphereinthetropical (especiallyequatorial)Pacific,andisconsideredtobethedominantmechanismoftheearth’sinterannualclimatechange.ThereareseveralparadigmsproposedforinterpretingENSO .Bjerknes’ (1 966,1 969)pio neeringworkvisualizedacloseassociationbetweenoceanandatmosphereandexplainedhowthedis turbancecoulddevelopthroughtheocean atmosphereinteraction .Heproposedapositivefeedbackmechanism .ButENSOisan…     

海气耦合随机模式中随机项的处理

本文对海气相互作用随机动力模式中随机项的处理作了探讨,分析了目前对随机项的简单处理而产生的问题,在此基础上,对随机项处理进行了重新认识和改进,并由此解释了相应合理的模式解。     

A review of progress in coupled ocean-atmosphere model developments for ENSO studies in China

El Nino-Southern Oscillation(ENSO) is the strongest interannual signal that is producedby basinscale processes in the tropical Pacific,with significant effects on weather and climate worldwide.In the past,extensive and intensive international efforts have been devoted to coupled model developments for ENSO studies.A hierarchy of coupled ocean-atmo sphere models has been formulated;in terms of their complexity,they can be categorized into intermediate coupled models(ICMs),hybrid coupled models(HCMs),and fully coupled general circulation models(CGCMs).ENSO modeling has made significant progress over the past decades,reaching a stage where coupled models can now be used to successfully predict ENSO events 6 months to one year in advance.Meanwhile,ENSO exhibits great diversity and complexity as observed in nature,which still cannot be adequately captured by current state-of-the-art coupled models,presenting a challenge to ENSO modeling.We primarily reviewed the long-term efforts in ENSO modeling continually and steadily made at different institutions in China;some selected representative examples are presented here to review the current status of ENSO model developments and applications,which have been actively pursued with noticeable progress being made recently.As ENSO simulations are very sensitive to model formulations and process representations etc.,dedicated efforts have been devoted to ENSO model developments and improvements.Now,different ocean-atmosphere coupled models have been available in China,which exhibit good model performances and have already had a variety of applications to climate modeling,including the Coupled Model Intercomparison Project Phase 6(CMIP6).Nevertheless,large biases and uncertainties still exist in ENSO simulations and predictions,and there are clear rooms for their improvements,which are still an active area of researches and applications.Here,model performances of ENSO simulations are assessed in terms of advantages and disadvantages with these differently formulated coupled models,pinpointing to the areas where they need to be further improved for ENSO studies.These analyses provide valuable guidance for future improvements in ENSO simulations and predictions.     

WAVE ASSIMILATION AND NUMERICAL PREDICTION

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The influence of the sea-air heat exchange over the Kuroshio in the East China Sea in winter on the precipitation in the middle and lower reaches of Changjiang River in flood season

In this paper, the sea-air heat exchange over the Kuroshio in the East China Sea during the winters of 1954–1972 is computed and analysed. The results indicate that the year to year anomalies of sea-air heat exchange are obvious and the values are mainly controlled by the intensity of the cold air at the same time. The authors have found a close relationship between sea-air heat exchange and precipitation in the region of the Changjiang River during the early summer. Finally, the predicting indication for forecasting this precipitation around the middle and lower reaches of Changjiang River in June is given. Contribution No. 839 from the Institute of Oceanology, Academia Sinica. This paper was published in Chinese inOceanologia et Limnologia Sinica 14 (3): 256–262, 1983.     

优化反演方法及数值反演试验初步研究

基于典型力学模型。以研究区域的岩性参数和研究块体的边界力作为反演参数进行数值模拟，研究了单纯形法，模式搜索法，鲍威尔法，变量轮换法，混合罚函数法，复合形法等6种最优化反演方法的反演效果和可靠性。结果显示6种方法都有较好的表现。在恰当的条件下，6种方法反演所得参数都达到或接近参数的理论值，迭代收敛图，位移拟合曲线和残差统计分布图直观地反映出6种方法的效果和可靠性，但对单纯形法和复合形法应给予较高的迭代收敛精度。     

附不等式约束的总体最小二乘迭代算法

基于惩罚函数和测量平差中权的思想,提出了附不等式约束的总体最小二乘平差模型,即利用惩罚函数对不等式约束方程构造约束权,通过零权和无限权将不等式约束转换为等式约束,从而将不等式约束平差准则转化为传统的测量平差准则。同时,根据非线性最小二乘平差理论,用构造结构矩阵的方法来顾及系数矩阵的结构性,推导了附不等式约束的总体最小二乘迭代算法。该算法迭代格式与传统的间接平差类似,只需经过若干次迭代便能得到最优解。     

高亚洲及其邻区2003~2017年质量平衡的气候影响分析

利用重力恢复和气候实验(GRACE)数据获得高亚洲及其邻近地区的质量变化,可分析区域气候因素如印度季风、西风带和厄尔尼诺-南方涛动(ENSO)对结果的影响。然而,最近的研究发现,西风带的贡献小于厄尔尼诺,与传统研究结论不同。因此,利用2003-01~2017-06期间GRACE RL06的Mascon数据进行复经验正交函数（CEOF）分析。研究发现,前3个主要成分对研究区质量变化的贡献率分别为53%、27%和6%,与印度季风、西风带和ENSO指数的相关系数分别是0.92±0.16、0.70±0.15和0.42±0.15,说明在长达14 a的观测时间跨度内,印度季风、西风带和ENSO对研究区质量变化的贡献分别为53%、27%和6%,西风带是研究区质量变化的第2个影响因素,这支持了传统的研究结论;ENSO通过印度季风对某些区域（如帕米尔高原、喜马拉雅山脉和印度西北部）的质量变化产生影响;在印度西北部、喜马拉雅山脉和藏东南地区,由于印度季风的减弱及其相关的ENSO作用和西风带的加强,质量变化呈现下降趋势;在兴都库什、西昆仑和东昆仑地区,由于西风带的增强,质量变化呈上升的趋势;在帕米尔和天山地区,虽然受到较强西风带的影响,但由于同时受到印度季风和ENSO减弱以及气温上升趋势的影响,质量变化呈下降的趋势。     

Adomian分解法在完全非线性S-G方程中的运用

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.     

病态总体最小二乘问题的谱修正迭代法

针对病态问题岭估计法及正则化方法存在破坏方程的等量关系、解是有偏估计的问题,在最小二乘谱修正迭代法的基础上,提出病态总体最小二乘问题的谱修正迭代法,并推导了总体最小二乘谱修正迭代法及其改进算法的具体公式。通过算例验证和阐明了TLS谱修正迭代法在病态问题中的有效性和易受迭代初值影响的缺点。     

Role of sea ice in air-sea exchange and its relation to sea fog

Synchronous or quasi-synchronous stereoscopic sea-ice-air comprehensive observation was conducted during the First China Arctic Expedition in summer of 1999. Based on these data, the role of sea ice in sea-air exchange was studied. The study shows that the kinds, distribution and thickness of sea ice and their variation significantly influence the air-sea heat exchange. In floating ice area, the heat momentum transferred from ocean to atmosphere is in form of latent heat; latent heat flux is closely related to floating ice concentration; if floating ice is less, the heat flux would be larger. Latent heat flux is about 21 23.6 W*m-2, which is greater than sensible heat flux. On ice field or giant floating ice, heat momentum transferred from atmosphere to sea ice or snow surface is in form of sensible heat. In the floating ice area or polynya, sea-air exchange is the most active, and also the most sensible for climate. Also this area is the most important condition for the creation of Arctic vapor fog. The heat exchange of a large-scale vapor fog process of about 500000 km2 on Aug. 21 22,1999 was calculated; the heat momentum transferred from ocean to air was about 14.8×109 kW. There are various kinds of sea fog, radiation fog, vapor fog and advection fog, forming in the Arctic Ocean in summer. One important cause is the existence of sea ice and its resultant complexity of both underlying surface and sea-air exchange.     

Study of numerical simulation on dual-frequency IP method with FEM

Using the finite element method and Cole-Cole model for dual-frequency IP method to research numerical simulation, the authors introduced the fundamental principle of the dual-frequency IP method and the boundary value problem and variational equations, then replaced the complex resistivity of the model with the Cole-Cole model's parameters under ignoring the EM effect. Through solving the last linear equations, electric potentials of all the model's points were obtained. With changing model's parameters, the authors got different curves of the Fs and phases. According to the results of the simulation, the algorithm is proved to be correct and adaptable.     

关于电磁场的结构

本文讨论了电磁场的结构。作者从变分原理导出了麦氏方程蛆,同时又阐述了电磁场是规范场和电磁势是U(1)丛上的联络这两个近代观点。通过把麦氏方程组表示成外微分形式,作者得到了罗仑兹协变的电磁场方程组。从在不单连通的底流形上的U(1)丛上存在不同的联络这一事实出发,作者得出了Aha-ranov-Bohm效应。最后,考虑到麦氏方程组对(?)和(?)的对称性,还讨论了磁单极问题。     

CHARACTER OF SIMPLIFIED NAVIER-STOKES EQUATIONS FOR NEAR THE LEADING EDGE PART OF TWO-DIMENSIONAL LAMINAR FLOW PAST A FLAT PLATE

Starting from the Simplified Navier-Stokes(SNS)equations presented at first by Godovachev-Kuzmin-Tsopov,and Gao Zhi,Davis,the authors analyze the character of the SNS equations for the laminarflow near the leading edge of a flat plate and far away from the plate by using the Weiner—Hopf meth-od and Fourier transform.It is proved that the solution of the SNS equations agree with the solution of the Navier-Stokes equations for flow near the leading edge of the plate and far away from the plate.How to match the solution of the SNS equations to the Blasius solution of the boundary layer equationsis also discussed.     

基于FFT与小波变换的SOI与GNSS ZTD的周期变化影响研究

为探究ENSO事件对GNSS ZTD(水汽)周期变化的影响及其相互关系,以河北省为例开展ENSO事件对GNSS ZTD及其周期变化的影响研究。首先利用快速傅里叶变换方法筛选出南方涛动指数（SOI）与GNSS水汽的共同周期,再利用小波变换提取GNSS水汽与SOI共同周期所在的高频项,并将重构的高频项与SOI进行相关性分析。结果表明,SOI与GNSS ZTD存在负相关性,由此推断ENSO事件与GNSS ZTD的周期变化存在一定关联。利用快速傅里叶变换方法分别提取ENSO事件和正常气候下GNSS ZTD的变化周期,分析ENSO事件对GNSS ZTD周期变化的影响,结果表明,ENSO暖事件（厄尔尼诺事件）对GNSS ZTD的最长显著周期存在显著影响;ENSO冷事件（拉尼娜事件）对GNSS ZTD的最长显著周期影响较弱。