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A new regularization method is proposed to directly assimilate Doppler radar data into mesoscale numerical weather forecast based on the traditional 3DVAR. For seeking the minimum module solution of the Yo=H(X) with bias δ, the regularization method is adopted and leads to a new cost function. A group of experiments were designed to study the case of a locally strong rainstorm occurred in Beijing area on August 14, 2008. The L-curve principle is used to determine the optimal regularization parameter and the result is α=0.1. Numerical results demonstrate that both regularization method and 3DVAR scheme can efficiently assimilate the Doppler radar data, and that the improved initial condition can alleviate the spin-up phenomenon and improve the nowcasting precipitation forecast. However, when an optimal regularization parameter is choser, better improvement, more accurate precipitation forecast and higher TS score are expected.
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Keywords:
- Doppler radar data /
- regularization methods /
- 3DVAR /
- precipitation forecast
[1] Xiao Q N, Kuo Y H, Sun J Z, Lee W C, Lim E, Guo Y R, Barker D M 2005 J. Appl. Meteor. 44 768
[2] Xiao Q N, Kuo Y H, Sun J Z, Lee W C, Barker D M, Lim E 2007 J. Appl. Meteor. Climatol. 46 14
[3] Sun J Z, Crook N A 1997 J. Atmos. Sci . 54 1642
[4] Sun J Z, Crook N A 1998 J. Atmos. Sci . 55 835
[5] Sun J Z, Crook N A 2001 Wea. Forecasting 16 117
[6] Tong M, Xue M 2005 Mon. Wea. Rev. 133 1789
[7] Wan Q L, Xue J S, Zhuang S Y 2005 Acta Meteorologica Sinica 63 129(in Chinese)[万齐林、薛纪善、庄世宇2005 气象学报 63 129] 〖8] Yang y, Qiu C J, Gong J D, Huang J 2008 Acta Meteorologica Sinica 66 479(in Chinese)[杨 毅、邱崇践、龚建东、黄 静 2008 气象学报 66 479]
[8] Sheng C Y, Pu Y F, Gao S T 2006 Chinese Journal of Atmospheric Sciences 30 93(in Chinese)[盛春岩、浦一芬、高守亭 2006 大气科学 30 93]
[9] Xu X Y, Liu L P, Zheng G G 2006 Chinese Journal of Atmospheric Sciences 30 712(in Chinese)[许小永、刘黎平、郑国光 2006 大气科学 30 712]
[10] Thikhonov A. N 1963 Dokl. Akad. Nauk. SSSR 151 49
[11] Huang S X, Wu R S 2005 Mathematical and physical problem in atmospheric science (Beijing: Meteorological Press) p422—433 (in Chinese) [黄思训、伍荣生 2005 大气科学中的数学物理问题(北京:气象出版社) 第422—433页]
[12] Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 1734 (in Chinese) [盛 峥、黄思训 2010 59 1734]
[13] Huang S X, Cao X Q, Du H D, Zhong J Q 2010 J. of Hydrodynamics B 22 185
[14] Hanke M, Hansen P C 1993 Surv. Math. Ind. 3 253
[15] Kalnay E 2003 Atmospheric Modeling, Data Assimilation and Predictability (Cambridge: Cambridge University Press) p168
[16] Cardinali C, Pezzulli S, Anderson E 2004 Q.J.R.Meterorol.Soc. 130 2767
[17] Huang S X, Sheng Z 2006 Acta Phys. Sin. 55 6720 (in Chinese) [黄思训、盛 峥 2006 55 6720]
[18] Cai Q F, Huang S X, Gao S T, Zhong K, Li Z Q 2008 Acta Phys. Sin. 57 3912 (in Chinese) [蔡其发、黄思训、高守亭、钟 科、李自强 2008 57 3912]
[19] Zhang L, Huang S X, Liu Y D, Zhong J 2010 Acta Phys. Sin. 59 2889 (in chinese) [张 亮、黄思训、刘宇迪、钟 剑 2010 59 2889]
[20] Huang S X, Zhao X F, Sheng Z 2009 Chin. Phys. B 18 5084
[21] Kress R 1989 Linear Inteqral Equation (New York: Springer-Verlag) p250—258
[22] Kirsch A 1996 An Introduction to Mathematical Theory of Inverse Problem (New York: Springer-Verlag) p48—53
[23] Morozov V A 1966 J. Comp. Math. Math. Phys. 6 170
[24] Golub G H, Heath M, Wahba G 1979 Technometrics 21 215
[25] Engl H W, Gfrerer H 1988 Appl. Numer. Math. 4 395
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[1] Xiao Q N, Kuo Y H, Sun J Z, Lee W C, Lim E, Guo Y R, Barker D M 2005 J. Appl. Meteor. 44 768
[2] Xiao Q N, Kuo Y H, Sun J Z, Lee W C, Barker D M, Lim E 2007 J. Appl. Meteor. Climatol. 46 14
[3] Sun J Z, Crook N A 1997 J. Atmos. Sci . 54 1642
[4] Sun J Z, Crook N A 1998 J. Atmos. Sci . 55 835
[5] Sun J Z, Crook N A 2001 Wea. Forecasting 16 117
[6] Tong M, Xue M 2005 Mon. Wea. Rev. 133 1789
[7] Wan Q L, Xue J S, Zhuang S Y 2005 Acta Meteorologica Sinica 63 129(in Chinese)[万齐林、薛纪善、庄世宇2005 气象学报 63 129] 〖8] Yang y, Qiu C J, Gong J D, Huang J 2008 Acta Meteorologica Sinica 66 479(in Chinese)[杨 毅、邱崇践、龚建东、黄 静 2008 气象学报 66 479]
[8] Sheng C Y, Pu Y F, Gao S T 2006 Chinese Journal of Atmospheric Sciences 30 93(in Chinese)[盛春岩、浦一芬、高守亭 2006 大气科学 30 93]
[9] Xu X Y, Liu L P, Zheng G G 2006 Chinese Journal of Atmospheric Sciences 30 712(in Chinese)[许小永、刘黎平、郑国光 2006 大气科学 30 712]
[10] Thikhonov A. N 1963 Dokl. Akad. Nauk. SSSR 151 49
[11] Huang S X, Wu R S 2005 Mathematical and physical problem in atmospheric science (Beijing: Meteorological Press) p422—433 (in Chinese) [黄思训、伍荣生 2005 大气科学中的数学物理问题(北京:气象出版社) 第422—433页]
[12] Sheng Z, Huang S X 2010 Acta Phys. Sin. 59 1734 (in Chinese) [盛 峥、黄思训 2010 59 1734]
[13] Huang S X, Cao X Q, Du H D, Zhong J Q 2010 J. of Hydrodynamics B 22 185
[14] Hanke M, Hansen P C 1993 Surv. Math. Ind. 3 253
[15] Kalnay E 2003 Atmospheric Modeling, Data Assimilation and Predictability (Cambridge: Cambridge University Press) p168
[16] Cardinali C, Pezzulli S, Anderson E 2004 Q.J.R.Meterorol.Soc. 130 2767
[17] Huang S X, Sheng Z 2006 Acta Phys. Sin. 55 6720 (in Chinese) [黄思训、盛 峥 2006 55 6720]
[18] Cai Q F, Huang S X, Gao S T, Zhong K, Li Z Q 2008 Acta Phys. Sin. 57 3912 (in Chinese) [蔡其发、黄思训、高守亭、钟 科、李自强 2008 57 3912]
[19] Zhang L, Huang S X, Liu Y D, Zhong J 2010 Acta Phys. Sin. 59 2889 (in chinese) [张 亮、黄思训、刘宇迪、钟 剑 2010 59 2889]
[20] Huang S X, Zhao X F, Sheng Z 2009 Chin. Phys. B 18 5084
[21] Kress R 1989 Linear Inteqral Equation (New York: Springer-Verlag) p250—258
[22] Kirsch A 1996 An Introduction to Mathematical Theory of Inverse Problem (New York: Springer-Verlag) p48—53
[23] Morozov V A 1966 J. Comp. Math. Math. Phys. 6 170
[24] Golub G H, Heath M, Wahba G 1979 Technometrics 21 215
[25] Engl H W, Gfrerer H 1988 Appl. Numer. Math. 4 395
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