刘永柱,沈学顺,李晓莉. 2013. 基于总能量模的GRAPES全球模式奇异向量扰动研究[J]. 气象学报, 71(3):517-526, doi:10.11676/qxxb2013.043
基于总能量模的GRAPES全球模式奇异向量扰动研究
Researeh on the singular vector perturbation of the GRAPES global model based on the total energy norm
投稿时间:2012-08-15  修订日期:2013-01-31
DOI:10.11676/qxxb2013.043
中文关键词:  总能量模  奇异向量  集合预报  GRAPES模式
英文关键词:Total energy norm  Singular vectors  Ensemble prediction  DRAPES model
基金项目:公益性行业(气象)科研专项(GYHY201006015);国际科技合作项目(2008DFA22180);国家科技支撑计划项目(2012BAC22B02).
作者单位
刘永柱 中国气象局国家气象中心, 北京, 100081 
沈学顺 中国气象局国家气象中心, 北京, 100081 
李晓莉 中国气象局国家气象中心, 北京, 100081 
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中文摘要:
      以发展基于奇异向量技术为初值扰动的GRAPES全球集合预报系统为目的,在GRAPES模式及其干动力框架下的切线性、伴随模式基础上开展了以总能量模为权重算子的奇异向量计算技术研究,建立奇异向量的计算求解模块,并通过奇异向量检验方法和切线性近似方法验证了奇异向量求解的正确性.通过对中高纬度的GRAPES奇异向量水平结构的线性演变分析,证实了在最优时间间隔内GRAPES奇异向量能够快速增长,并能描述中高纬度大气的斜压不稳定特征.分析在初始时刻和最优化时间间隔时刻的GRAPES奇异向量总能量及其分量(动能和势能)的垂直分布特征,发现在中高纬度区域,GRAPES奇异向量能够描述对流层不同层次的斜压不稳定增长特征.
英文摘要:
      Aimed to develop the DRAPES global ensemble prediction system with the singular vectors (SVs) as the initial perturbations, the calculation of SVs with total energy norm as weight matrix is performed by using of the tangent linear and adjoint model of the DRAPES global dry dynamical model.The formulation of total energy norm based on the forecast variables of the DRAPES model is derived,and the correctness of SV calculation is verified by the singular vector verification method and linear approximation.The structure of SVs over the middle-high latitude area and its linear evolution are analyzed through the 10-days experiment,and it is found that the DRAPES SVs based on total energy norm can grow fast in the optimal time interval,and they can reflects the characteristics of the atmosphere baroclinic instability over in the middle-high latitude area.The vertical distribution of the total energy of DRAPES SVs and its components(kinetic energy and potential energy) also show that the DRAPES SVs could represent the growing characteristics of the baroclinic instability at the different levels in the troposphere in the middle-high latitudes.
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