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The mainstream data assimilation system in operation will still employ four-dimensional variational data assimilation(4DVAR) method in a long time of future. We develop a new 4DVAR system, i.e., YH4DVAR, using global spectral model as a constraint to impose a dynamic balance on the assimilation. The cost function of YH4DVAR consists of four terms: background, observations, digital filter, and bias correction, respectively. YH4DVAR employs the wavelet background error convariance, the multi-resolution incremental formulation, the tangent linear and adjoint models for dynamics core and physical processes, and ATOVS radiance data assimilation. Simultaneous spatial and spectral variations of horizontal and vertical covariance are achieved by dividing the control vector into several parts, each of which corresponds to a band of total spherical wavenumbers. Using NWP consisting of YH4DVAR and global spectral model, the anomaly correlation with the verifying analysis for geopotential height 8-day forecast on the 500 hPa isobaric surface at 12-month mean is above 60%. The formulation and implementation of YH4VAR are described in detail in this paper.
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Keywords:
- numerical weather prediction /
- atmospherical data assimilation /
- four-dimensional variational data assimilation /
- wavelet background error covariance model
[1] Huang X Y, Q Xiao, D M Barker, Xin Zhang 2009 Mon. Wea. Rev. 137 299
[2] Courtier P, Thepaut J N, Hollingsworth A 1994 Q. J. R. Meteor. Soc. 120 1367
[3] Rabier F, Jarvinen H, Klinker E, Mahfouf J F 2000 Q. J. R. Meteor. Soc. 126 1148
[4] Mahfouf J F, Rabier F 2000 Q. J. R. Meteor. Soc. 126 1171
[5] Klinker E, Rabier F, Kelly G, Mahfouf J F 2000 Q. J. R. Meteor. Soc. 126 1191
[6] Derber J C, Bouttier F 1999 Tellus A 51 195
[7] Gauthier P, Thepaut J N 2001 Mon. Wea. Rev. 129 2089
[8] Lorenc A C, Rawlins F 2005 Q. J. R. Meteor. Soc. 131 3247
[9] Honda Y, Nishijima M, Koizumi K 2005 Q. J. R. Meteor. Soc. 131 3465
[10] Gauthier P, Tanguay M, Laroche S, Pellerin S, Morneau J 2007 Mon. Wea. Rev. 135 2239
[11] Fisher M 2003 ECMWF Seminar on Recent Developments in Data Assimilation for Atmosphere and Ocean pp45-64, Reading, 8-12 Sept 2003
[12] Holm E, Andersson E, Beljaars A, Lopez P, Mahfouf J F, Simmons A J 2002 ECMWF Tech. Memo. No. 383
[13] Dethof A, Holm E 2004 Q. J. R. Meteor. Soc. 130 2851
[14] Fisher M 2006 ECMWF Newsletter No. 106 23
[15] Tremolet Y 2004 Q. J. R. Meteor. Soc. 130 2233
[16] Bonavita M, Isaksen L, Holm E 2012 Q. J. R. Meteor. Soc. 140 1899
[17] Wang B, Zhao Y 2005 Acta Meteo. Sin. 63 694 (in Chinese) [王斌, 赵颖 2005 气象学报 63 694]
[18] Qiu C J, Zhang L, Shao A M 2007 Sci. China D 50 1232
[19] Zhang W M, Cao X Q, Xiao Q N 2010 Journal of Tropical Meteorology 16 333
[20] Wang S C, Li Y, Zhang W M 2011 Acta Phys. Sin. 60 099203 (in Chinese) [王舒畅, 李毅, 张卫民 2011 60 099203]
[21] Cao X Q, Zhang W M, Song J Q 2012 Acta Phys. Sin. 61 020507 (in Chinese) [曹小群, 张卫民, 宋君强 2012 61 020507]
[22] Cao X Q, Song J Q, Zhang W M 2011 Acta Phys. Sin. 60 070511 (in Chinese) [曹小群, 宋君强, 张卫民 2011 60 070511]
[23] Zhang W M 2006 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [张卫民 2006 博士学位论文 (长沙: 国防科学技术大学)]
[24] Zhu X Q 2008 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [朱小谦 2008 博士学位论文 (长沙: 国防科学技术大学)]
[25] Huang X Y, Lynch P 1993 Mon. Wea. Rev. 121 589
[26] Huang S X, Wu R S 2005 Mathematical and Physical Problem in Atmospheric Science (Beijing: Meteorological Press) (in Chinese) [黄思训 2005大气科学中的数学物理问题 (北京: 气象出版社)]
[27] Dee D P 2005 Q. J. R. Meteor. Soc. 131 3323
[28] Fisher M 2004 ECMWF Seminar on Recent Developments in Numerical Methods for Atmosphereic and Ocean Modelling pp.87-102, Reading, 6-10 September 2004
[29] Thépaut J N, Courtier P, Belaud G 1996 Q. J. R. Meteor. Soc. 122 535
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[1] Huang X Y, Q Xiao, D M Barker, Xin Zhang 2009 Mon. Wea. Rev. 137 299
[2] Courtier P, Thepaut J N, Hollingsworth A 1994 Q. J. R. Meteor. Soc. 120 1367
[3] Rabier F, Jarvinen H, Klinker E, Mahfouf J F 2000 Q. J. R. Meteor. Soc. 126 1148
[4] Mahfouf J F, Rabier F 2000 Q. J. R. Meteor. Soc. 126 1171
[5] Klinker E, Rabier F, Kelly G, Mahfouf J F 2000 Q. J. R. Meteor. Soc. 126 1191
[6] Derber J C, Bouttier F 1999 Tellus A 51 195
[7] Gauthier P, Thepaut J N 2001 Mon. Wea. Rev. 129 2089
[8] Lorenc A C, Rawlins F 2005 Q. J. R. Meteor. Soc. 131 3247
[9] Honda Y, Nishijima M, Koizumi K 2005 Q. J. R. Meteor. Soc. 131 3465
[10] Gauthier P, Tanguay M, Laroche S, Pellerin S, Morneau J 2007 Mon. Wea. Rev. 135 2239
[11] Fisher M 2003 ECMWF Seminar on Recent Developments in Data Assimilation for Atmosphere and Ocean pp45-64, Reading, 8-12 Sept 2003
[12] Holm E, Andersson E, Beljaars A, Lopez P, Mahfouf J F, Simmons A J 2002 ECMWF Tech. Memo. No. 383
[13] Dethof A, Holm E 2004 Q. J. R. Meteor. Soc. 130 2851
[14] Fisher M 2006 ECMWF Newsletter No. 106 23
[15] Tremolet Y 2004 Q. J. R. Meteor. Soc. 130 2233
[16] Bonavita M, Isaksen L, Holm E 2012 Q. J. R. Meteor. Soc. 140 1899
[17] Wang B, Zhao Y 2005 Acta Meteo. Sin. 63 694 (in Chinese) [王斌, 赵颖 2005 气象学报 63 694]
[18] Qiu C J, Zhang L, Shao A M 2007 Sci. China D 50 1232
[19] Zhang W M, Cao X Q, Xiao Q N 2010 Journal of Tropical Meteorology 16 333
[20] Wang S C, Li Y, Zhang W M 2011 Acta Phys. Sin. 60 099203 (in Chinese) [王舒畅, 李毅, 张卫民 2011 60 099203]
[21] Cao X Q, Zhang W M, Song J Q 2012 Acta Phys. Sin. 61 020507 (in Chinese) [曹小群, 张卫民, 宋君强 2012 61 020507]
[22] Cao X Q, Song J Q, Zhang W M 2011 Acta Phys. Sin. 60 070511 (in Chinese) [曹小群, 宋君强, 张卫民 2011 60 070511]
[23] Zhang W M 2006 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [张卫民 2006 博士学位论文 (长沙: 国防科学技术大学)]
[24] Zhu X Q 2008 Ph. D. Dissertation (Changsha: National University of Defense Technology) (in Chinese) [朱小谦 2008 博士学位论文 (长沙: 国防科学技术大学)]
[25] Huang X Y, Lynch P 1993 Mon. Wea. Rev. 121 589
[26] Huang S X, Wu R S 2005 Mathematical and Physical Problem in Atmospheric Science (Beijing: Meteorological Press) (in Chinese) [黄思训 2005大气科学中的数学物理问题 (北京: 气象出版社)]
[27] Dee D P 2005 Q. J. R. Meteor. Soc. 131 3323
[28] Fisher M 2004 ECMWF Seminar on Recent Developments in Numerical Methods for Atmosphereic and Ocean Modelling pp.87-102, Reading, 6-10 September 2004
[29] Thépaut J N, Courtier P, Belaud G 1996 Q. J. R. Meteor. Soc. 122 535
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