涡旋轴对称化的分形维数表征

罗哲贤; 余晖; 平凡; 马革兰

doi:10.7498/aps.61.244702

摘要

涡旋轴对称化是影响热带气旋预报的重要动力学过程. 截止目前的研究, 均用等值线图形主观识别涡旋轴对称化. 本文用一个准地转无幅散的正压涡度方程模式, 数值积分48 h, 模拟了初始非轴对称涡旋演变为轴对称涡旋的轴对称化过程. 根据模式输出数据, 计算了逐时涡旋外缘线的分形维数DB, 用分形维数DB的逐时变化客观表征涡旋轴对称化. 在此基础上, 计算了分形维数DB与热带气旋尺度参数Rm和热带气旋强度参数Vmax的相关系数. 结果显示, DB与Rm的相关系数为-0.70, DB与Vmax的相关系数为-0.75, 相关均显著. 用此途径, 客观表征了涡旋轴对称化与热带气旋参数的联系. 结果在热带气旋预报中有应用前景.

关键词:

Abstract

The vortex axial-symmetrization is an important dynamical process affecting tropical cyclone track change, and it is identified by previous work, up to now, in terms of vorticity fields rather subjectively. Two-dimensional simulations whose integration time is 48 h using a quesi-geostrophic non-divergence barotropic vorticity equation model are performed. The evolutional processes from an initial non-axial-symmetric vortex to the final axial-symmetric vortex are produced. Fractal dimension DB of the perimeter of the vortex is calculated hourly based on the model output data. The results show that fractal dimension can be used to characterize the vortex axial-symmetrization objectively. Based on DB calculated, the correction coefficients CRD and CVD are calculated to be CRD=-0.70 and CVD=-0.75. They each have a significant correction. Here CRD denotes the correction coefficient between DB and Rm being TC scale parameter, and CVD denotes the correction coefficient between DB and Vmax being tropical cyclone intensity parameter. The relation between the vortex axial-symmetrization and the tropical cyclone parameters may be characterized. The results have potential applications in tropical cyclone forecasting.

Keywords:

作者及机构信息

1.
南京信息工程大学, 气象灾害省部共建教育部重点实验室, 南京 210044;

2.
中国气象局, 上海台风研究所, 上海 200030;

3.
中国科学院大气物理研究所, 云降水物理和强风暴国家实验室(LACS), 北京 100029;

4.
南京信息工程大学, 环境科学与工程学院, 南京 210044

基金项目: 国家自然科学基金(批准号:40975036和4092116038)资助的课题.

Authors and contacts

1.
Key Laboratory of Meteorological Disaster of Ministry of Education, Nanjing University of Information Science and Technology, Nanjing 210044, China;

2.
Chinese Meteorological Administration, Shanghai Typhoon Institute, Shanghai 200030, China;

3.
Laboratory of Cloud-Precipitation Physics and Severe Storms (LACS), Institute of Atmospheric Physics, Chinese Academy of Science, Beijing 100029, China;

4.
College of Environment Science and Technology, Nanjing University of Information Science and Technology, Nanjing 210044, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos, 40975036 and 4092116038).

参考文献

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[2]	McCalpin J D 1987 J. Geophy.Resear.92 8213
[3]	Enagonio J, Montgomery M T 2001 J. Atmos. Sci. 58 685
[4]	Luo Z X, Liu C J 2007 J. Geophy. Resear. 112 D 06103
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[6]	Chen G H, Qiu G Q 2005 Acta Meteorol. Sin. 63 359 (in Chinese) [陈光华, 裘国庆 2003 气象学报 63 359]
[7]	Terwey W D, Montgomery M T 2008 J. Geophy. Resear. 113 D12112
[8]	Murakami S, Iwayama T 2010 Pros. Meeting Japan Soc. Fluid Mech. 139 09-09 (in Japanese)
[9]	Guimond S 2011 Ph. D. Dissertation (Florida State Uni.) UMI 3458743
[10]	Mandelbrot B B 1977 Fractals (San Frencisco: W. H. Freeman)
[11]	Lovejoy S 1982 Science 216 185
[12]	Luo Z X, Liu C J 2007 Geophysical Reasearch Lett. 34 L03808
[13]	Telesca L, Amatucci G, Lasaponara R, Lovallo M, Rodrigues M J 2007 Communications in Nonlinear Science and Numerical Smulation 12 1326
[14]	Yang J, Bian B M, Yan Z G, Wang C Y, Li Z H 2011 Acta Phys. Sin. 60 100506 (in Chinese) [杨娟, 卞保民, 闫振纲, 王春勇, 李振华 2011 60 100506]
[15]	Yang J, Bian B M, Peng G, Li Z H 2011 Acta Phys. Sin. 60 100506 (in Chinese) [杨娟, 卞保民, 彭纲, 李振华 2011 010508]
[16]	Yuan M J, Yu B M, Zheng W, Yuan J 2011 Acta Phys. Sin. 60 024703 (in Chinese) [员美娟, 郁伯铭, 郑伟, 袁洁 2011 60 024703]
[17]	Zhang Q, Deng X J, Zhang Q X, Li Y D, Zhang Y M 2010 Acta Phys. Sin. 59 7442 (in Chinese) [张青, 邓小玖, 张启兴, 李耀东, 张永明 2010 59 7442]
[18]	Ma Q L, Bian C H, Wang J 2010 Acta Phys. Sin. 59 4480 (in Chinese) [马千里, 卞春华, 王俊 2010 59 4480]
[19]	Liu J H, Zhang H G, Feng J 2008 Acta Phys. Sin. 57 6868 (in Chinese) [刘金海, 张化光, 冯健 2008 57 6868]
[20]	Chan J C L, Williams R T 1987 J. Atmos. Sci. 44 1257
[21]	Asselin R 1972 Mon. Wea. Rev. 109 18
[22]	Yang B, Luo M B, Tao X M, Feng C M, Ye G X 1999 Acta Phys. Sin. 48 1523 (in Chinese) [杨波, 罗孟波, 陶向明, 冯春木, 叶高翔 1999 48 1523]
[23]	Luo Z X, Davidson N, Ping F, Zhou W C 2011 Adv. Mech. Engineering. 2011 ID 782590

施引文献

[1]	Melander M V, McWilliams J C, Zabusky N J 1987 J. Fluid Mech. 178 137
[2]	McCalpin J D 1987 J. Geophy.Resear.92 8213
[3]	Enagonio J, Montgomery M T 2001 J. Atmos. Sci. 58 685
[4]	Luo Z X, Liu C J 2007 J. Geophy. Resear. 112 D 06103
[5]	Luo Z X 2003 Sciencein in China. D 33 686 (in Chinese) [罗哲贤 2003 中国科学 D辑 33 686]
[6]	Chen G H, Qiu G Q 2005 Acta Meteorol. Sin. 63 359 (in Chinese) [陈光华, 裘国庆 2003 气象学报 63 359]
[7]	Terwey W D, Montgomery M T 2008 J. Geophy. Resear. 113 D12112
[8]	Murakami S, Iwayama T 2010 Pros. Meeting Japan Soc. Fluid Mech. 139 09-09 (in Japanese)
[9]	Guimond S 2011 Ph. D. Dissertation (Florida State Uni.) UMI 3458743
[10]	Mandelbrot B B 1977 Fractals (San Frencisco: W. H. Freeman)
[11]	Lovejoy S 1982 Science 216 185
[12]	Luo Z X, Liu C J 2007 Geophysical Reasearch Lett. 34 L03808
[13]	Telesca L, Amatucci G, Lasaponara R, Lovallo M, Rodrigues M J 2007 Communications in Nonlinear Science and Numerical Smulation 12 1326
[14]	Yang J, Bian B M, Yan Z G, Wang C Y, Li Z H 2011 Acta Phys. Sin. 60 100506 (in Chinese) [杨娟, 卞保民, 闫振纲, 王春勇, 李振华 2011 60 100506]
[15]	Yang J, Bian B M, Peng G, Li Z H 2011 Acta Phys. Sin. 60 100506 (in Chinese) [杨娟, 卞保民, 彭纲, 李振华 2011 010508]
[16]	Yuan M J, Yu B M, Zheng W, Yuan J 2011 Acta Phys. Sin. 60 024703 (in Chinese) [员美娟, 郁伯铭, 郑伟, 袁洁 2011 60 024703]
[17]	Zhang Q, Deng X J, Zhang Q X, Li Y D, Zhang Y M 2010 Acta Phys. Sin. 59 7442 (in Chinese) [张青, 邓小玖, 张启兴, 李耀东, 张永明 2010 59 7442]
[18]	Ma Q L, Bian C H, Wang J 2010 Acta Phys. Sin. 59 4480 (in Chinese) [马千里, 卞春华, 王俊 2010 59 4480]
[19]	Liu J H, Zhang H G, Feng J 2008 Acta Phys. Sin. 57 6868 (in Chinese) [刘金海, 张化光, 冯健 2008 57 6868]
[20]	Chan J C L, Williams R T 1987 J. Atmos. Sci. 44 1257
[21]	Asselin R 1972 Mon. Wea. Rev. 109 18
[22]	Yang B, Luo M B, Tao X M, Feng C M, Ye G X 1999 Acta Phys. Sin. 48 1523 (in Chinese) [杨波, 罗孟波, 陶向明, 冯春木, 叶高翔 1999 48 1523]
[23]	Luo Z X, Davidson N, Ping F, Zhou W C 2011 Adv. Mech. Engineering. 2011 ID 782590

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