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In order to analyze the dynamical mechanism of the abnormal activity of the subtropical high, the variables in the partial differential vortex equations based on the heat force and the whorl movement dissipation effect, are separated in space and time with Galerkin methods. Aiming at resolving the problem of the insufficiency and shortcoming of the conventional method in the choice of space-basis function, we set forth the research idea of using the expirical orthogonal function (EOF) and the genetic algorithm combined with inversion of the space-basis function from the actual sequence of data fields. After the EOF of the daily time series of the subtropical high potential fields, the first three major typical space fields whose cumulative variance contribution is more than 90 percent as the fitting object are chosen, and a group of trigonometric function is selected as the general space-basis function. And then, the dual-constraint function is formulated with the complete orthogonality between space-basis function and the least square of error of general space-basis function and EOF typical field. Then the genetic algorithm is introduced to carry out the curved surface fitting and coefficient optimization of the basis function, and through inversion, an objective and reasonable ordinary differential dynamical model of subtropical high is obtained. Furthermore, through the EOF and inversion of history sensible heat field data, an ordinary differential dynamical model of subtropical high which objectively takes into account of the distribution of thermal factors is set up. Finally, based on the above obtained nonlinear dynamical model, the complicated dynamic behaviors and mechanism of the subtropical high under the impact of heat force are analyzed and discussed, also some new opinions are obtained. For example, the east-west sensitive heat intensity and the configuration distribution and the east-west sensitive heat difference are important factors that lead to a complex configuration (such as the subtropical high double-ridges phenomenon) of the subtropical high flow field and potential field. The heliacal season radicalization heat and the east-west sensitive heat distribution of the East Asia are the important reasons that lead to the subtropical high mutations and the subtropical high flow abnormality, such as the subtropical high north leap and west extend.
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Keywords:
- fitting of basis-function /
- the genetic algorithms /
- nonlinear equation of vortex /
- subtropical high
[1] Liu C J, Tao S Y 1983 Sci. Chin. Ser. B 5 474 (in Chinese) [柳崇健、 陶诗言 1983 中国科学B 5 474]
[2] Dong B W, Chou J F 1988 Acta Meteorol. Sin. 46 361 (in Chinese) [董步文、 丑纪范 1988 气象学报 46 361]
[3] Miao J H, Ding M F 1985 Sci. Chin. Ser. B 1 87 (in Chinese) [缪锦海、 丁敏芳 1985 中国科学B 1 87]
[4] Zhang R, Yu Z H 2000 Adv. Atmos. Sci. 17 61
[5] Cao J, Huang R H, Xie Y Q 2002 Chin. J. Atmos. Sci. 32 559 (in Chinese) [曹 杰、 黄荣辉、 谢应齐 2002 大气科学 32 559]
[6] Lü K L, Xu Y Z, Tan Z M 1997 The Dynamic Meteorology (Nanjing: Nanjing University Press) p135 (in Chinese)[吕克利、 徐银梓、 谈哲敏 1997 动力气象学 (南京: 南京大学出版社) 第135页]
[7] Wu H B, Wu L 2005 The Climate Variability Diagnosis and the Prediction Method (Beijing: Meteorological Press) pp2—32 (in Chinese)[吴洪宝、吴 蕾 2005 气候变率诊断和预测方法 (北京: 气象出版社) 第2—32页]
[8] Xuan G N, Cheng R W 2004 The Genetic Algorithm and the Engineering Optimization (Beijing: Qinghua University Press) pp21—30 (in Chinese)[玄光男、 程润伟 2004 遗传算法与工程优化 (北京: 清华大学出版社) 第21—30页]
[9] Zhan R F, Li J P, He J H 2004 Acta Meteor. Sin. 62 112 (in Chinese) [占瑞芬、 李建平、 何金海 2004 气象学报 62 112]
[10] Zhang R, Shi H S, Yu S H 1995 Chin. J. Atmos. Sci. 19 687 (in Chinese) [张 韧、 史汉生、 喻世华 1995 大气科学 19 687]
[11] Zhang R, Hong M 2006 Appl. Math. Mech. 27 1645
[12] Zhang R, Wang H Z 2007 J. Nanjing Inst. Meteorol. 30 723 (in Chinese) [张 韧、 王辉赞 2007 南京气象学院学报 30 723]
[13] Zhang R, Hong M 2008 Chin. J. Eng. Math. 25 381 (in Chinese) [张 韧、 洪 梅 2008 工程数学学报 25 381]
[14] Dai B D, Cheng Y M 2007 Acta Phys. Sin. 56 597 (in Chinese) [戴保东、 程玉民 2007 物理学报 56 597]
[15] Gong Z Q, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 3180 (in Chinese) [龚志强、 封国林、 董文杰、 李建平 2006 物理学报 55 3180]
[16] Liu S H,Tang J S 2008 Acta Phys. Sin. 57 6162 (in Chinese) [刘素华、 唐驾时 2008 物理学报 57 6162]
[17] Hou D X, Liu B, Shi P M 2009 Acta Phys. Sin. 58 5942 (in Chinese) [侯东晓、 刘 彬、 时培明 2009 物理学报 58 5942]
[18] Lou Z M 2010 Acta Phys. Sin. 59 719 (in Chinese) [楼智美 2010 物理学报 59 719]
[19] Zhang Q C, Tian R L, Wang W 2008 Acta Phys. Sin. 57 2799 (in Chinese) [张琪昌、 田瑞兰、 王 炜 2008 物理学报 57 2799]
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[1] Liu C J, Tao S Y 1983 Sci. Chin. Ser. B 5 474 (in Chinese) [柳崇健、 陶诗言 1983 中国科学B 5 474]
[2] Dong B W, Chou J F 1988 Acta Meteorol. Sin. 46 361 (in Chinese) [董步文、 丑纪范 1988 气象学报 46 361]
[3] Miao J H, Ding M F 1985 Sci. Chin. Ser. B 1 87 (in Chinese) [缪锦海、 丁敏芳 1985 中国科学B 1 87]
[4] Zhang R, Yu Z H 2000 Adv. Atmos. Sci. 17 61
[5] Cao J, Huang R H, Xie Y Q 2002 Chin. J. Atmos. Sci. 32 559 (in Chinese) [曹 杰、 黄荣辉、 谢应齐 2002 大气科学 32 559]
[6] Lü K L, Xu Y Z, Tan Z M 1997 The Dynamic Meteorology (Nanjing: Nanjing University Press) p135 (in Chinese)[吕克利、 徐银梓、 谈哲敏 1997 动力气象学 (南京: 南京大学出版社) 第135页]
[7] Wu H B, Wu L 2005 The Climate Variability Diagnosis and the Prediction Method (Beijing: Meteorological Press) pp2—32 (in Chinese)[吴洪宝、吴 蕾 2005 气候变率诊断和预测方法 (北京: 气象出版社) 第2—32页]
[8] Xuan G N, Cheng R W 2004 The Genetic Algorithm and the Engineering Optimization (Beijing: Qinghua University Press) pp21—30 (in Chinese)[玄光男、 程润伟 2004 遗传算法与工程优化 (北京: 清华大学出版社) 第21—30页]
[9] Zhan R F, Li J P, He J H 2004 Acta Meteor. Sin. 62 112 (in Chinese) [占瑞芬、 李建平、 何金海 2004 气象学报 62 112]
[10] Zhang R, Shi H S, Yu S H 1995 Chin. J. Atmos. Sci. 19 687 (in Chinese) [张 韧、 史汉生、 喻世华 1995 大气科学 19 687]
[11] Zhang R, Hong M 2006 Appl. Math. Mech. 27 1645
[12] Zhang R, Wang H Z 2007 J. Nanjing Inst. Meteorol. 30 723 (in Chinese) [张 韧、 王辉赞 2007 南京气象学院学报 30 723]
[13] Zhang R, Hong M 2008 Chin. J. Eng. Math. 25 381 (in Chinese) [张 韧、 洪 梅 2008 工程数学学报 25 381]
[14] Dai B D, Cheng Y M 2007 Acta Phys. Sin. 56 597 (in Chinese) [戴保东、 程玉民 2007 物理学报 56 597]
[15] Gong Z Q, Feng G L, Dong W J, Li J P 2006 Acta Phys. Sin. 55 3180 (in Chinese) [龚志强、 封国林、 董文杰、 李建平 2006 物理学报 55 3180]
[16] Liu S H,Tang J S 2008 Acta Phys. Sin. 57 6162 (in Chinese) [刘素华、 唐驾时 2008 物理学报 57 6162]
[17] Hou D X, Liu B, Shi P M 2009 Acta Phys. Sin. 58 5942 (in Chinese) [侯东晓、 刘 彬、 时培明 2009 物理学报 58 5942]
[18] Lou Z M 2010 Acta Phys. Sin. 59 719 (in Chinese) [楼智美 2010 物理学报 59 719]
[19] Zhang Q C, Tian R L, Wang W 2008 Acta Phys. Sin. 57 2799 (in Chinese) [张琪昌、 田瑞兰、 王 炜 2008 物理学报 57 2799]
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