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对有限区域进行旋转风和辐散风的分解，是中尺度系统结构分析的一种诊断方法，可提高对中尺度系统动力结构的认识. 一方面,有限区域风场的分解可以给出总风场中无辐散风与无旋转风的不同分布，还可根据这两种风场的分布特征进行不同要求的分析；另一方面，由于耦合边界条件不能直接计算，计算过程中必须简化处理，使有限区域风场分解本身还有许多问题没有很好解决. 目前，对风场进行有效分解的方法是对有限区域里的流函数和速度势进行求解，然后对流函数和速度势求导得到对应的无辐散风与无旋转风. 有限区域流函数和速度势求解的准确程度主要以分解后的风场能否还原到原始风场（即风场重建）为标准. 本文总结了有限区域风场分解和重建的方法，重点介绍了调和正弦/余弦方法，该方法可较准确有效地解决有限区域风场的分解和重建问题，对进一步研究天气系统的动力结构有较好效果.Partitioning and reconstruction problem of the wind in a limited region is a useful diagnostic technology. From the non-divergent and non-rotational wind component, one can know more about the structures of meso-scale systems. The effective way to wind partitioning and reconstruction in a limited region is to calculate the stream function and velocity potential in the same limited region. When the reconstructed wind approachs the original one, it means the partitioning process is successful and the calculated stream function and velocity potential is accurate. The most commonly used partitioning methods in the past are summarized in this paper, and the harmonic-sine/cosine method is emphasized. Case study shows that the harmonic-sine/cosine method can partition and reconstruct the wind in a limited region, and its results are encouraging for studying the dynamical structures of meso-scale systems.
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Keywords:
- limited region /
- partitioning and reconstruction of the wind /
- harmonic-sine/cosine series expansion /
- stream function and velocity potential
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[8] ［8］Ding Y H, Hu G Q 2003 Acta Meteorologica Sin. 61 129 (in Chinese) ［丁一汇、胡国权 2003气象学报 61 129］
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[20] ］Baede A P M, Jarraud M, Cubasch U 1979 Tech. Rep. 15 39
[21] ］Machenhauer B 1979 GRAP Pub. Ser. 17 124
[22] ］Tatsumi Y 1986 J. Meteor. Soc. Jpn 64 637
[23] ］Fulton S R, Schubert W H 1987 Mon. Wea. Rev. 115 1940
[24] ］Fulton S R, Schubert W H 1987 Mon. Wea. Rev. 115 1954
[25] ］Gottieb D, Orszag S A 1997 Society for Industrial and Applied. Mathematics 172pp
[26] ］Zhou J 1986 Diagnositic Analyses in Weather 63—76 (in Chinese) ［周军 1986天气学诊断分析 (南京: 南京气象学院大气科学系) 第63—76页］
[27] ］Gao S, Lei T, Zhou Y 2002 Chin. Phys. Lett. 19 878
[28] ］Gao S, Ping F, Li X, Tao W K 2004 J. Geophys. Res. 109, D14106
[29] ］Gao S, Wang X, Zhou Y 2004 Geophy. Res. Lett. 31 L12113
[30] ］Gao S, Zhou Y, Lei T, Sun J 2005 Sci. Chin. Ser. D 48 128
[31] ］Zhou Y S, Deng G, Lei T 2006 J. Graduate School Chin. Acad. Sci. 23 692 (in Chinese) ［周玉淑、邓国、雷霆 2006 中国科学院研究生院学报23 692］
[32] ］Yang S, Gao S 2006 Chin. Phys. Lett. 23 3003
[33] ］Gao S, Li X, Tao W K, Shie C L, Lang S 2007 J. Geophys. Res. 112 D01105
[34] ］Cao J, Gao S, Zhou Y S 2008 Acta Phys. Sin. 57 2600 (in Chinese) ［曹洁、高守亭、周玉淑 2008 物理学报 57 2600］
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[1] ［1］Ding Y H 1989 Diagnositic Method in Weather and Dynamical Meteororlogy (Beijing: Science Press)(in Chinese) ［丁一汇 1989 天气动力学中的诊断分析方法 (北京：科学出版社)］
[2] ［2］Hawkins H, Rosenthal S 1965 Mon. Wea. Rev. 93 245
[3] ［3］Krishnamurti T 1968 Mon. Wea. Rev. 96 197
[4] ［4］Krishnamurti T 1968 Mon. Wea. Rev. 96 208
[5] ［5］Krishnamurti T 1985 Mon. Wea. Rev. 113 1590
[6] ［6］Krishnamurti T, Ramanathan Y 1982 J. Atmos. Sci. 39 1290
[7] ［7］Knutson T, Weickmann K 1987 Mon. Wea. Rev. 115 1407
[8] ［8］Ding Y H, Hu G Q 2003 Acta Meteorologica Sin. 61 129 (in Chinese) ［丁一汇、胡国权 2003气象学报 61 129］
[9] ［9］Steplens J, Johnson K 1978 Mon. Wea. Rev. 106 1452
[10] ］Sangster W E 1960 J. Meteor. 17 166
[11] ］Shukla J, Saha K R 1974 Mon. Wea. Rev. 102 419
[12] ］Sangster W E 1987 Mon. Wea. Rev. 115 1358
[13] ］Bijlsma S J, Hafkensheid L M, Lynch P 1986 Mon. Wea. Rev. 114 1547
[14] ］Lynch P 1988 Mon. Wea. Rev. 116 86
[15] ］Lynch P 1989 Mon. Wea. Rev. 117 1492
[16] ］Chen Q, Kuo Y 1992 Mon. Wea. Rev. 120 91
[17] ］Chen Q ,Kuo Y 1992 Mon. Wea. Rev. 120 2653
[18] ］Bourke W 1974 Mon. Wea. Rev. 102 687
[19] ］Hoskins B J, Simons A J 1975 Quart. J. Roy. Meteor. Soc. 101 637
[20] ］Baede A P M, Jarraud M, Cubasch U 1979 Tech. Rep. 15 39
[21] ］Machenhauer B 1979 GRAP Pub. Ser. 17 124
[22] ］Tatsumi Y 1986 J. Meteor. Soc. Jpn 64 637
[23] ］Fulton S R, Schubert W H 1987 Mon. Wea. Rev. 115 1940
[24] ］Fulton S R, Schubert W H 1987 Mon. Wea. Rev. 115 1954
[25] ］Gottieb D, Orszag S A 1997 Society for Industrial and Applied. Mathematics 172pp
[26] ］Zhou J 1986 Diagnositic Analyses in Weather 63—76 (in Chinese) ［周军 1986天气学诊断分析 (南京: 南京气象学院大气科学系) 第63—76页］
[27] ］Gao S, Lei T, Zhou Y 2002 Chin. Phys. Lett. 19 878
[28] ］Gao S, Ping F, Li X, Tao W K 2004 J. Geophys. Res. 109, D14106
[29] ］Gao S, Wang X, Zhou Y 2004 Geophy. Res. Lett. 31 L12113
[30] ］Gao S, Zhou Y, Lei T, Sun J 2005 Sci. Chin. Ser. D 48 128
[31] ］Zhou Y S, Deng G, Lei T 2006 J. Graduate School Chin. Acad. Sci. 23 692 (in Chinese) ［周玉淑、邓国、雷霆 2006 中国科学院研究生院学报23 692］
[32] ］Yang S, Gao S 2006 Chin. Phys. Lett. 23 3003
[33] ］Gao S, Li X, Tao W K, Shie C L, Lang S 2007 J. Geophys. Res. 112 D01105
[34] ］Cao J, Gao S, Zhou Y S 2008 Acta Phys. Sin. 57 2600 (in Chinese) ［曹洁、高守亭、周玉淑 2008 物理学报 57 2600］
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