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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.
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Keywords:
- fractal dimension /
- axial-symmetrization /
- tropical cyclone scale /
- tropical cyclone intensity
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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
[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]
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[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 48 1523]
[23] Luo Z X, Davidson N, Ping F, Zhou W C 2011 Adv. Mech. Engineering. 2011 ID 782590
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[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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 48 1523]
[23] Luo Z X, Davidson N, Ping F, Zhou W C 2011 Adv. Mech. Engineering. 2011 ID 782590
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