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The accurate value of the turbulent coefficient in Ekman layer of atmosphere is quite important for the numerical weather prediction and pollutant diffusion calculation. In the paper, based on ensemble method and variational method, the ensemble variational retrieval method is proposed, and the gradient of objective function is calculated with the method. Two calculation procedures are also given based on the linear condition of forward model. The inversion numerical experiments of the turbulent coefficient using ensemble variational method and two calculation flow process are carried out, and the results show that the method has the simple and convenient characteristics, and the turbulent coefficient can be retrieved accurately by observational data.
[1] Berger B W, Grisogono B 1998 Bound. Layer Meteorol. 87 363
[2] Masson V 2000 Bound. Layer Meteorol. 94 357
[3] Grimmond C S B, Oke T R 2002 J. Appl. Meteorol. 41 792
[4] Chen J, Kemna A, Hubbard S S 2008 Geophysics 73 247
[5] Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 1734 (in Chinese) [盛峥, 黄思训2010 物理学报 59 1734]
[6] Zhang Y, Yang X, Gou M J, Shi Q F 2010 Acta Phys. Sin. 59 3905 (in Chinese) [张宇, 杨曦, 苟铭江, 史庆藩 2010 物理学报 59 3905]
[7] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 物理学报 58 4579]
[8] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强, 葛德彪 2009 物理学报 58 4573]
[9] Zuo H Y, Yang J G 2007 Acta Phys. Sin. 56 6132 (in Chinese) [左浩毅, 杨经国 2007 物理学报 56 6132]
[10] Wei B, Ge D B, Wang F 2008 Acta Phys. Sin. 57 6290 (in Chinese) [魏冰, 葛德彪, 王飞 2008 物理学报 57 6290]
[11] Huang C J, Liu Y F, Wu Z S, Sun Y Q, Long S M 2009 Acta Phys. Sin. 58 2397 (in Chinese) [黄朝军, 刘亚峰, 吴振森, 孙彦清, 龙姝明2009 物理学报 58 2397]
[12] Hao N, Zhou B, Chen L M 2006 Acta Phys. Sin. 55 1529 (in Chinese) [郝楠, 周斌, 陈立民 2006 物理学报 55 1529]
[13] Shi X M, Xiao M, Fan J K 2009 J. Geophys. 52 1140 (in Chinese) [师学明, 肖敏, 范建柯 2009 地球物理学报 52 1140]
[14] Wang J Y 2007 J. Engin. Geophys. 4 1 (in Chinese) [王家映 2007 工程地球物理学报 4 1]
[15] Kelbert A, Egbert G D, Schultz A 2008 Geophys. J. Inter. 173 365
[16] Cohn S E 1997 J. Meteor. Soc. Japan 75 257
[17] Jazwinski A H 1970 Stochastic Processes and Filtering Theory (1st Ed.) (New York: Academic Press) p376
[18] Liu D C, Nocedal J 1989 Math. Programming 45 503
[19] Nocedal J 1980 Math. Comput. 35 773
[20] Zhao M 1987 Adv. Atmos. Sci. 4 233
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[1] Berger B W, Grisogono B 1998 Bound. Layer Meteorol. 87 363
[2] Masson V 2000 Bound. Layer Meteorol. 94 357
[3] Grimmond C S B, Oke T R 2002 J. Appl. Meteorol. 41 792
[4] Chen J, Kemna A, Hubbard S S 2008 Geophysics 73 247
[5] Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 1734 (in Chinese) [盛峥, 黄思训2010 物理学报 59 1734]
[6] Zhang Y, Yang X, Gou M J, Shi Q F 2010 Acta Phys. Sin. 59 3905 (in Chinese) [张宇, 杨曦, 苟铭江, 史庆藩 2010 物理学报 59 3905]
[7] Ye H X, Jin Y Q 2009 Acta Phys. Sin. 58 4579 (in Chinese) [叶红霞, 金亚秋 2009 物理学报 58 4579]
[8] Zhang Y Q, Ge D B 2009 Acta Phys. Sin. 58 4573 (in Chinese) [张玉强, 葛德彪 2009 物理学报 58 4573]
[9] Zuo H Y, Yang J G 2007 Acta Phys. Sin. 56 6132 (in Chinese) [左浩毅, 杨经国 2007 物理学报 56 6132]
[10] Wei B, Ge D B, Wang F 2008 Acta Phys. Sin. 57 6290 (in Chinese) [魏冰, 葛德彪, 王飞 2008 物理学报 57 6290]
[11] Huang C J, Liu Y F, Wu Z S, Sun Y Q, Long S M 2009 Acta Phys. Sin. 58 2397 (in Chinese) [黄朝军, 刘亚峰, 吴振森, 孙彦清, 龙姝明2009 物理学报 58 2397]
[12] Hao N, Zhou B, Chen L M 2006 Acta Phys. Sin. 55 1529 (in Chinese) [郝楠, 周斌, 陈立民 2006 物理学报 55 1529]
[13] Shi X M, Xiao M, Fan J K 2009 J. Geophys. 52 1140 (in Chinese) [师学明, 肖敏, 范建柯 2009 地球物理学报 52 1140]
[14] Wang J Y 2007 J. Engin. Geophys. 4 1 (in Chinese) [王家映 2007 工程地球物理学报 4 1]
[15] Kelbert A, Egbert G D, Schultz A 2008 Geophys. J. Inter. 173 365
[16] Cohn S E 1997 J. Meteor. Soc. Japan 75 257
[17] Jazwinski A H 1970 Stochastic Processes and Filtering Theory (1st Ed.) (New York: Academic Press) p376
[18] Liu D C, Nocedal J 1989 Math. Programming 45 503
[19] Nocedal J 1980 Math. Comput. 35 773
[20] Zhao M 1987 Adv. Atmos. Sci. 4 233
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