WU Hong,NIU Ning,DOU Jinghua.Unstable Criterion about the Internal Inertial Gravity Wave with Any Frequency in the Baroclinic Atmosphere[J].Journal of Chengdu University of Information Technology,2023,38(06):728-733.[doi:10.16836/j.cnki.jcuit.2023.06.015]
斜压大气中任意频率惯性重力内波不稳定的判据
- Title:
- Unstable Criterion about the Internal Inertial Gravity Wave with Any Frequency in the Baroclinic Atmosphere
- 文章编号:
- 2096-1618(2023)06-0728-06
- 分类号:
- P433
- 文献标志码:
- A
- 摘要:
- 为分析斜压大气中任意频率惯性重力内波的稳定性，利用非静力平衡的Boussinesq近似的方程组和正交模方法，着重对波动不稳定的充分条件(即判据)进行讨论。主要结果表明:当基流随高度增大时，波动不稳定的必要条件是波动的等位相线向北倾斜; 当基流随高度减小时，波动不稳定的必要条件是波动的等位相线向南倾斜。当大气为层结稳定时，波动不稳定的充分条件即判据是环境大气不但满足S4-N2F2>0，且波动等位相面的倾斜率必须位于(S2-(S4-N2F2)1/2)/(N2)与(S2+(S4-N2F2)1/2)/(N2)之间。对于层结稳定、惯性稳定的环境大气，若S4>N2F2，当环境大气的基流随高度增大时，(S2-(S4-N2F2)1/2)/(N2)小于环境大气的等绝对动量面的倾斜率，(S2+(S4-N2F2)1/2)/(N2)大于环境大气的等位温面的倾斜率。
- Abstract:
- To analyze the stability of the internal inertial gravity wave with any frequency in the baroclinic atmosphere, this paper the sufficient condition of the instability about the wave is discussed with the emphasis on which is the unstable criterion, by the equations with Boussinesq approximation and non-hydrostatic balance and the method of normal mode. The main results show that when the basic flow increases with height, the necessary condition of the instability of the wave is that the slope of the constant phase line of the wave is slanted towards north. While the basic flow decreases with height, the necessary condition of the instability is that the wave is slant towards south. It is the sufficient condition of the instability about the internal inertial gravity wave that not only there is S4-N2F2>0 about the atmosphere, but also the slope of the phase line of the internal inertial gravity wave is greater than (S2-(S4-N2F2)1/2)/(N2) and less than (S2+(S4-N2F2)1/2)/(N2) in the baroclinic atmosphere when the atmosphere is the stable of stratification. If S4>N2F2 is greater than zero, the (S2-(S4-N2F2)1/2)/(N2) is less than the slope of constant absolute momentum, and the (S2+(S4-N2F2)1/2)/(N2) is greater than the slope of the equipotential temperature when there are the stable of stratification and inertial stable in the baroclinic atmosphere.
参考文献/References:
[1] 陆汉城,杨国祥.中尺度天气原理和预报[M].北京:气象出版社,2004:1-40.
[2] 胡伯威. 梅雨锋上MCS的发展、传播以及与低层“湿度锋”相关联的CISK惯性重力波[J].大气科学,2005,29(6):845-853.
[3] 康建伟,陆汉城,钟科,等.台风内部的中尺度波动与多边形眼墙的形成[J].热带气象学报,2007,23(1):21-26.
[4] 李永平,郑运霞,方平治.2009年“莫拉克”台风登陆过程阵风特征分析[J].气象学报,2012,70(6):1188-1199.
[5] 覃卫坚,寿绍文,高守亭,等,一次冰雹过程的惯性重力波观测及数值模拟[J].地球物理学报,2010,53(5):1039-1049.
[6] 孙继松,何娜,郭锐,等.多单体雷暴的形变与列车效应传播机制[J].大气科学,2013,37(1):137-148.
[7] 吴海英,曾明剑,蒋义芳,等.一次雹暴过程中对流系统演变特征的模拟分析[J].高原气象,2021,40(3):569-579.
[8] 赵玉春,王叶红,崔春光.一次典型梅雨锋暴雨过程的多尺度结构特征[J].大气科学学报,2011,34(1):14-27.
[9] 刘式适,刘式达.大气动力学[M].2版.北京:北京大学出版社,1991:1-527.
[10] 李崇银,刘式适,陈嘉滨,等.动力气象学引论[M].北京:气象出版社,2005:1-114.
[11] Hoskins B J.A role of potential vorticity in symmetric stability and instability[J]. Quart.J. of the Royal Meteoro.Society,1974,100:480-482.
[12] Bennetts D A,Hoskins B J.Conditional symmetric instability-a Possible Explanation for frontal rainbands[J]. Quart.J. of the Royal Meteoro.Society,1979,105:945-962.
[13] Holton J R,Hakim G J.动力气象学引论[M].5版.北京:电子工业出版社,2019:1-227.
[14] 吕美仲,侯志明,周毅.动力气象学[M].北京:气象出版社,2004:1-295.
[15] 贺海晏,简茂球,乔云亭.动力气象学[M].北京:气象出版社,2010:1-154.
[16] 朱乾根,林锦瑞,寿绍文,等.天气学原理和方法[M].4版.北京:气象出版社,2007:393-396.
[17] Moore J T,Lambert T E.The Use of Equivalent Potential Vorticity to Diagnose Regions of Conditional Symmetric Instability[J].Weather and Forecasting,1993,8(3):301-308.
[18] 周玉淑,邓国,黄仪虹.长江流域一次暴雨过程中的不稳定条件分析[J].气象学报,2003,61(3):323-333.
[19] 张晓惠,倪允琪.华南前汛期锋面对流系统与暖区对流系统的个例分析与对比研究[J].气象学报,2009,67(1):108-121.
[20] 李英,陈联寿,钱传海,等.登陆台风Rananim(0414)环流内中尺度辐合线的形成和发展研究[J].气象学报,2010,68(5):640-651.
[21] 杨晓亮,王咏青,杨敏,等.一次暴雨与特大暴雪并存的华北强降水过程分析[J].气象,2014,10(12):1446-1454.
[22] 刘璐,冉令坤,周玉淑,等.北京”7.21”暴雨的不稳定性及其触发机制分析[J].大气科学,2015,39(3):583-595.
[23] 孙力,董伟,药明,等.1215号“布拉万”台风暴雨及降水非对称性分布的成因分析[J].气象学报,2015,73(1):36-49.
[24] 邓承之,张亚萍,方德贤,等.一次纬向暴雨过程的湿对称不稳定与锋生分析[J].气象,2019,45(11):1527-1538.
[25] 黄小刚,费建芳,孙吉明,等.2013年冬季长江中下游地区一次高架雷暴过程的成因分析[J].气象学报,2017,75(3):429-441.
[26] 伍荣生,党人庆,余志豪,等.动力气象学[M].上海:上海科学技术出版社,1983:1-114.
[27] 李国平.新编动力气象学[M].北京:气象出版社,2014:1-254.
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备注/Memo
收稿日期:2022-11-22
基金项目:北京市自然科学基金资助项目(8212026)