Variational iteration solving method for El Nio phenomenon atmospheric physics of nonlinear model

1 IntroductionThe El Ni’o atmospheric physics oscillation is anabnormal phenomenon involved in the tropical Pacificocean- atmosphere interactions. Studies on the El Ni(ophenomenon are very attractive (Lin et al., 2000; Linet al., 2001, 2002; Wang, 2001; Feng et al., 2001;Feng et al., 2002; Liu et al., 2002; Wei and Chen,2003; Xie et al., 2002; Zhu et al., 2002; Pu et al.,2003; Gu et al., 2004; Yu and Liu, 2004). Lin and Mo(2004), Mo and Lin (2004) and Mo et al. (2004) alsostudied a s…     

Variational iteration solving method for El Niño phenomenon atmospheric physics of nonlinear model

A class of E1 Niйo atmospheric physics oscillation model is considered. The E1 Niйo atmospheric physics oscillation is an abnormal phenomenon involved in the tropical Pacific ocean-atmosphere interactions. The conceptual oscillator model should consider the variations of both the eastern and western Pacific anomaly patterns. An E1 Niйo atmospheric physics model is proposed using a method for the variational iteration theory. Using the variational iteration method, the approximate expansions of the solution of corresponding problem are constructed. That is, firstly, introducing a set of functional and accounting their variationals, the Lagrange multiplicators are counted, and then the variational iteration is defined, finally, the approximate solution is obtained. From approximate expansions of the solution, the zonal sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the sea-air oscillation for E1 Niйo atmospheric physics model can be analyzed. E1 Niйo is a very complicated natural phenomenon. Hence basic models need to be reduced for the sea-air oscillator and are solved. The variational iteration is a simple and valid approximate method.     

两类厄尔尼诺事件期间热带大气GILL响应分析

分析了1979-2018年两类厄尔尼诺事件期间月平均热带太平洋海面温度(sea surface temperature,SST)异常、对流降水异常、大气环流异常等特征,发现东部型、中部型厄尔尼诺期间海洋及大气加热场并不是赤道对称,赤道以南热源强度大于赤道以北.大气对热源的响应表现在:1)低层在大气热源西侧出现南、北半球...     

Application of Nonlinear Constraints in a Three-Dimensional Variational Ocean Analysis

Two kinds of nonlinear constraints, not previously studied in oceanography, have been adopted with the Preconditioned Optimizing Utility for Large-dimensional analyses (POpULar) in a three-dimensional oceanic variational analysis in the equatorial Pacific. One is the constraint for the variational Quality Control (QC) procedure and the other is used to avoid density and temperature inversions. Estimation of the large heat content anomaly in the upper ocean related to El Nino and La Nina phenomena is improved with the variational QC. For example, it prevents unusual but correct observation data on the thermocline deepening in the 1997/98 El Nino from being ignored. As a result, it improves the temperature field estimation in the eastern equatorial Pacific. The constraint for avoiding inversions prevents the low salinity layer at the surface and the barrier layer in the eastern equatorial Pacific in the El Nino period from being destroyed by the convective adjustment procedure performed after minimizing the cost function. Incorporating nonlinear constraints in variational analyses is thus a strong candidate for increasing the accuracy of analysis.     

赤道太平洋上层海洋垂向温度梯度距平与El Nio的关系

用赤道太平洋长达21a的温度资料以及经验正交函数(EOF)分析方法,讨论了在5°S-5°N平均纬向垂直剖面上赤道太平洋垂向温度梯度距平的时空变化,得到了一些有意义的结果。赤道太平洋垂向温度梯度距平EOF分析第1模态的正/负位相反映了El Nino/La Nina发生前赤道太平洋温跃层的分布,第2模态的正/负位相反映了El Nino/La Nina鼎盛以及开始衰减时赤道太平洋温跃层的分布。根据我们对赤道太平洋温跃层核心位置的定义,在El Nino向LaNina转换的过程中,赤道东太平洋温跃层上升了30-40m,而赤道中太平洋温跃层先是上升了40-50m,然后又下降了40-50m,赤道西太平洋温跃层下降了90m;随着赤道西太平洋暖水的堆积以及东移,温跃层首先在赤道西太平洋加深,El Nino发生前赤道中东太平洋温跃层开始加深,El Nino达到鼎盛时赤道西太平洋温跃层抬升,而赤道中东太平洋温跃层加深;赤道太平洋垂向温度梯度距平EOF分析第1特征向量的时间系数与Nino3区的SST距平有非常好的相关,并且超前于Nino3区的SST距平,超前3个月的相关系数高达0.7017,超前6个月的相关系数高达0.6467,因此可以用该量来预测Nino3区的SST距平。     

厄尔尼诺事件延长原因的初步分析

利用我国及美国国家气象局提供的热带太平洋月平均海温、水位、地球向外长波辐射和850hPa纬向风资料,对1980年以来的三次厄尔尼诺(El Ni(?)o)事件延长原因及其特征作一分析和探讨。文章指出,El Ni(?)o事件延长的原因主要是:在El Ni(?)o事件发生后,热带太平洋大气环流半年左右的韵律活动及在赤道南、北两侧明显的大气振荡加强,从而使大气的El Ni(?)o异常过程间隔半年相继发生。     

Southern Oscillation forced by heat source and topography

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The PNA wavetrain and the sea surface temperature in the Northern Pacific

In this paper, the response of the atmospheric 3-5 year cycle to Northern Pacific SST is discussed, The results are as follows:1. From the simultaneous temporal correlations between the Equatorial Eastern Pacific SST, the westerly dirft area's SST and the Northern Pacific SST at all gridpoints, we find that there are three correlative regions in the Northern Pacific SST field, they are the westerly drift area, the Equatorial Eastern Pacific and the Alaska Bay , and their structures are very similar to the PNA pattern in the atmosphere The difference PTI between the Equatorial Eastern Pacific SST anomaly and the westerly drift area's SST anomaly can indicate the change of the PNA pattern of the Northern Pacific SST anomaly. It can represent SST change of 65 % areas over the Northern Pacific and can keep watch on El Nino and un-El Nino.2. Simultaneous temporal correlative field between PTI and filtered 500hPa (there is 3-5 year cycle only ) of the Northern Hemisphere presents clear PNA structure. The resp     

地形与热源强迫下的南方涛动

用El Nino和La Nina位相时的海温异常和地形作为大气下垫面的异常强迫,引入IAP的两层原始方程大气环流模式,模拟出了南方涛动的典型结构.当去掉地形后,仅仅由海温异常也能模拟出太平洋东西部的气压异常振荡,但太平洋东部振荡中心的位置并不与观测的一致.由此可见,观测到的南方涛动是在实际地形下对全球海温异常的响应.     

西风爆发、次表层暖水东移与厄尔尼诺现象

利用最近20 a的大气海洋资料,分析了厄尔尼诺事件与赤道太平洋西风异常以及赤道太平洋次表层海温之间的关系.结果表明,赤道西太平洋(5°S～5°N,120°～160°E)和赤道中东太平洋(5°S～5°N,160°E～160°W)西风异常都存在着与厄尔尼诺周期一致的年际变化,但前者还包含有显著的2～3个月季节内振荡.赤道西太平洋次表层冷暖水东移也呈现年和年际时间尺度的振荡周期.在厄尔尼诺发生前,赤道西太平洋次表层海水出现持续性增暖,赤道西太平洋西风异常频率加快,强度增强.随后赤道中太平洋(160°E～160°W)出现持续性(3个月以上)强西风异常(即西风爆发),并进一步向东扩展,同时次表层暖水沿着赤道波导东移到赤道东太平洋混合层,导致赤道东太平洋海表大面积异常增暖,形成一次厄尔尼诺现象.最后,模式模拟了1980～1984年赤道太平洋海温的变化,进一步证实了赤道纬向西风异常对暖水东移起着重要的作用.     

A possible role of the South China Sea in ENSO cycle

A data-based hypothesis on the role of the South China Sea (SCS) in ENSO cycle is proposed: during El Nino, there are westerly wind anomaly over the western equatorial Pacific and positive SST anomaly in the eastern equatorial Pacific. Meanwhile anomalous convection moves to the central Pacific with anomalous sinking over Indonesian Archipelago. The latter can cause southerly wind anomaly over the north of South China Sea (NSCS) and makes the NSCS warmer. The warm NSCS can attract the anomalous convection to it in some degree. This attraction is in favor for producing easterly wind anomaly over the western equatorial Pacific, so it helps to form a cycle.     

赤道太平洋温度、流场距平EOF分析及与厄尔尼诺的关系

利用EOF分析方法,讨论了最近20a赤道太平洋次表层温度、纬向流距平与厄尔尼诺的关系.结果表明:赤道太平洋海温距平EOF分析第一、二主分量占总量的近80%,其中第一主分量类似于厄尔尼诺模态,第二主分量类似于暖池模态;后一模态存在着突变和渐变两种过程,其中由冷位相变暖位相过程为渐变过程,而暖位相变冷位相过程为突变过程.厄尔尼诺事件是赤道西太平洋暖池突变过程的结果.赤道太平洋纬向流距平EOF的第二主分量代表赤道西太平洋潜流和东太平洋南赤道流的变化,这个模态存在着半年左右的振荡和与厄尔尼诺同位相的年际振荡两种频率.另外,它还存在明显的年代际变化.赤道西太平洋潜流和东太平洋南赤道流减弱是产生厄尔尼诺的必要条件.统计回归分析表明,赤道太平洋海温距平和纬向流距平EOF的第二特征向量的时间系数对厄尔尼诺和拉尼娜均有一定的预报意义.     

海洋的季节变化及风应力异常对海洋影响的数值试验

对一个6层5°×4°网格的全球海洋模式作了一些改进,建立了10层5°×4°网格的全球海洋模式,进行了季节变化数值模拟,积分250a,取得稳定的结果.除了高纬度海洋外,模拟的季节变化与实际观测十分接近.在此基础上,作了热带太平洋海温场对热带季风异常响应的3组敏感性实验,第1组为赤道西太平洋异常西风向东传播的试验;第2组为整个赤道太平洋风应力振荡异常试验;第3组为赤道西太平洋异常西风、东风交替向东传播的敏感性试验.模拟结果表明:(1)第1组风应力敏感性实验结果揭示出,西太平洋西风异常的向东传播的风应力异常可以产生类似厄尔尼诺的赤道东太平洋变暖;(2)第2组试验结果表明,热带太平洋风应力的局地振荡首先在中太平洋东西部激发出海温扰动,然后海温扰动分别向东太平洋和西太平洋传播,从而引起东、西太平洋海温的异常;(3)第3组试验验证风应力QBO可以产生海洋中类似的QBO振荡.     

Preliminary study on decadal variations of EI Nino-associated adjustment in the tropical Pacific thermocline

Statistical analysis about ENSO index represented by SSTA in Nino3 with several datasets shows obviously decadal changes in the dominant period and amplitude of ENSO. Correlation analysis about the composite El Nino events before and after 1976 exhibits obviously decadal changes in the propagation and intensity of the oceanic anomaly related to the variation of SSTA in Nino3. In the composite El Nino before 1976, the coherence is relatively weak between the oceanic anomaly in the tropical Pacific and the SSTA in the Nino3 region; the area with significant correlation coefficient is relatively small; the oceanic anomaly related to Nino3 SSTA propagates faster. The above changes correspond well to the decadal changes of ENSO cycles. Some preliminary explanations are given based on the analysis of the decadal changes in the thermocline. The tropical thermocline shoals after 1976 except in the equatorial far East Pacific and the inclination of the tropical thermocline deep west and shallow east patterns wea     

厄尔尼诺现象及预测现状

厄尔尼诺现象是目前发现的最明显气候异常信号.本文简短地介绍了厄尔尼诺的研究和预测现状,指出厄尔尼诺的预测水平还很低,其主要因素是一、没有建立起全球立体的厄尔尼诺监测网;二、研究局限于热带太平洋或热带印度洋-太平洋;三、缺乏多尺度相互作用的深入研究.另外,本文描述了厄尔尼诺发生前热带太平洋大气-海洋环流异常的几个特征.     

El Nino and anti-El Nino events in 1854-1987

-Using the COADS data set of sea surface temperature in the Equatorial Eastern Pacific, thirty one El Nino events and twenty four anti -El Nino events were identified for the period from 1854 to 1987. The results were compared with those of the other authors. The El Nino events (or anti -El Nino events ) are classified into two groups according to the timing of occrrence of the events: one starts at the first half of a year, another begins at the second half of a year. Both 1982-1983 and 1986-1987 events fall into the second group, which are characterized by the eastward migration of the positive anomaly of the sea surface temperature and the significant increasing of the anomaly in September or October.     

全球海洋环流模式中上层海洋对表面强迫的响应和调整Ⅰ.年际变率

利用一个较高分辨率的全球海洋环流模式在COADS 1945～1993年逐月平均资料的强迫下对海温和环流场进行了模拟试验,研究了全球热带海洋(主要是热带太平洋)海温和环流场的年际变化特征及模式ENSO冷暖事件演变的控制机理.结果表明,模式成功地再现了和观测一致的海温和环流的年际变化以及ENSO演变特征.其中热带印度洋年际SST变率的主要模态表现为与ENSO相联系的海盆尺度的一致性增暖或变冷现象,次级模态为热带印度洋偶极子模态;热带大西洋的SST年际变率表现为类ENSO的年际振荡现象.在热带太平洋,SST年际变化主要表现为ENSO型,环流的年际变率表现为与ENSO相对应的热带海洋质量循环圈的年际异常.对应于暖(冷)事件,前期赤道海洋垂直环流圈显示出减弱(增强)的特征.其中南赤道流异常的位相较Nino3区海温总体要超前5个月左右的时间;赤道上翻流异常的位相在表层要超前4个月,并随时间由上至下扩展;赤道潜流的异常则显示出东传特征,其中最早的较为显著的异常发生ENSO成熟前3个月180°附近.在模式ENSO冷暖事件的演变过程中,次表层海温异常沿赤道的东传起了关键作用,模式的ENSO模态主要表现为"时滞振子"模态.     

Numerical simulation of the tropical Pacific response to equatorial wind stress anomalies

The results of the tropical Pacific response to the sudden onset of the equatorial wind stress anomalies are discussed. The ocean model is a barotropic, non-linearized one that includes reduced-gravity and an equation for the temperature of the ocean mixed-layer. The experiments are based on a state of equilibrium reached through a long running under the action of annual mean wind stress. There are two kinds of westward wind intensity regions: the whole tropical Pacific and the western tropical Pacific, which are all between latitude 6. 8癗 and 6. 8癝.In these cases, the results show that the positive sea surface temperature (SST) anomalies in the Eastern Pacific and the negative SST anomalies in the Western Pacific are produced, and the positive SST anomalies propagate eastward, just as those observed during the actual El Nino phenomena. The propagations of the Kelvin waves and Rossby waves in the ocean are discussed.Another experiment is also carried out in simulating the process of the decay of El Ni     

The circularly propagating pattern of the low-frequencyfluctuations of monthly MSL in the tropical PacificOcean and its correlation with El Nino

The long-term time series analysis of the SST (sea surface temperature) in the Eastern Equatorial Pacific Ocean and the monthly MSL (mean sea level) in the tropical Pacific Ocean is conducted. Their quasiperiodic and low-frequency oscillation features are revealed. The significant periods of low-frequency fluctuations for monthly MSL in the area of 20°N-20° S are between 43. 5 months and 50. 0 months, approximating closely to 47. 6 months which is the significant period of SST in the Eastern Equatorial Pacific Ocean. From the results of space-spectral analysis, the low-frequency fluctations of monthly MSL in the tropical Pacific Ocean appear to have a anticlockwise circularly-propagating pattern, which is, the Eastern Pacific Ocean (off-shore of Mexico) →the area of NEC (North Equatorial Current) →the Western Equatorial Pacific Ocean→the area of NECC (North Equatorial Counter-Current)→the Eastern Equatorial Pacific Ocean. The phases of the pattern correspond to those of El Nino cycle. On the basis     

北太平洋SST的时空分布特征及其与黑潮大弯曲和El—Nino的关系

用EOF分析方法对北太平洋及赤道太平洋地区1949～1979年31年海表面温度距平场进行分解,得到几个主要距平海温模态(EOF1～3),分析了EOF1～3的时空分布特征。得到海温距平场的EOF1和EOF2～3模态分别对E1—Nino事件和黑潮大弯曲有很显著的相关性,指出SST第三模态场对黑潮大弯曲的影响具有很好的持续性,持续时间为1～2年。最后讨论了相互的影响过程,为黑潮大弯曲和E1—Nino事件的预报的可能性提供了依据。