...
首页> 外文期刊>Nonlinear Processes in Geophysics Discussions >Error growth and dynamical vectors during southern hemisphere blocking
【24h】

Error growth and dynamical vectors during southern hemisphere blocking

机译:南半球阻塞期间的误差增长和动力学矢量

获取原文
           

摘要

The structural organization of initially random perturbations or "errors" evolving in a barotropic tangent linear model with time-dependent basic states taken from observations, is examined for cases of block development, maturation and decay in the Southern Hemisphere atmosphere during April, November and December 1989. We determine statistical results relating the structures of evolved errors to singular vectors (SVs), Lyapunov vectors (LVs) and finite-time normal modes (FTNMs). The statistics of 100 evolved error fields are studied for six day periods or longer and compared with the growth and structures of leading fast growing SVs, LVs and FTNMs. The SVs are studied in the kinetic energy (KE), enstrophy (EN) and streamfunction (SF) norms, while all FTNMs and the first LV are norm independent. The mean of the largest pattern correlations between the 100 error fields and dynamical vectors, taken over the five fastest growing SVs, in any of the three norms, or over the five fastest growing FTNMs, increases with increasing time interval to a value close to 0.6 after six days. Corresponding pattern correlations with the five fastest growing LVs are slightly lower. The leading dynamical vectors (SVs 1, FTNM1 or LV 1) generally, but not always, give the largest pattern correlations with the error fields. It is found that viscosity slightly increases the average correlations between the evolved errors and LV 1 and evolved SVs 1. Mean pattern correlations with fast growing dynamical vectors increase further for time intervals longer than six days. The properties of the dynamical vectors during Southern Hemisphere blocking are briefly outlined. After a few days integration, the structures of the leading evolved SVs in the KE, EN and SF norms, are in general quite similar and also similar to some of the dominant FTNMs that are norm independent. For optimization times of six days or less, the evolved SVs and FTNMs are, in general, different from the dominant LVs on the same day. Nevertheless, amplification factors of the first FTNMs and first LVs are very similar, and also similar to, but slightly larger than, the mean amplification factor of 100 initially random perturbations in the SF norm, while the amplification factors in the SF norm of KE SVs 1 and SF SV 1 are much higher. For longer optimization times, the first SVs and the first FTNM increasingly turn towards the leading LV with convergence achieved within a month.
机译:研究了在正压切线线性模型中演化的初始随机扰动或“误差”的结构组织,该线性模型具有从观测中获取的随时间变化的基本状态,研究了南半球大气在4月,11月和12月的块状发育,成熟和衰减的情况。 1989年。我们确定统计结果,将演化错误的结构与奇异向量(SV),李雅普诺夫向量(LV)和有限时间正常模式(FTNM)相关。研究了六天或更长时间的100个演化误差场的统计数据,并将其与领先的快速增长的SV,LV和FTNM的增长和结构进行了比较。对SV进行了动能(KE),回旋(EN)和流函数(SF)规范研究,而所有FTNM和第一个LV均与规范无关。在三个规范中的任何一个中,五个增长最快的SV或五个增长最快的FTNM所获取的100个误差域与动态矢量之间最大模式相关性的平均值随时间间隔的增加而增加,接近于0.6六天后。与五个增长最快的LV对应的模式相关性略低。前导动态矢量(SV 1,FTNM1或LV 1)通常(但并非总是)提供与误差字段的最大模式相关性。发现粘度稍微增加了演化误差与LV 1和演化SV 1之间的平均相关性。随着时间增长超过六天,带有快速增长的动态矢量的平均模式相关性进一步增加。简要概述了南半球阻塞过程中动力矢量的性质。经过几天的整合,KE,EN和SF规范中主要的进化SV的结构通常非常相似,并且也与某些独立于规范的主要FTNM相似。对于6天或更短的优化时间,通常情况下,进化的SV和FTNM与同一天的主要LV不同。但是,第一个FTNM和第一个LV的放大因子非常相似,并且与SF范式中100个初始随机扰动的平均放大因子相似,但略大于KE SV的SF范式的平均放大因子。 1和SF SV 1高得多。对于更长的优化时间,第一个SV和第一个FTNM越来越多地转向领先的LV,并在一个月内实现了收敛。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号