Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing

doi:10.1088/1674-1056/27/2/029201

中国物理B ›› 2018, Vol. 27 ›› Issue (2): 29201-029201.doi: 10.1088/1674-1056/27/2/029201

• 90 GEOPHYSICS, ASTRONOMY, AND ASTROPHYSICS • 上一篇下一篇

Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing

Shuai Yang(杨帅), Shou-Ting Gao(高守亭), Bin Chen(陈斌)

1. Laboratory of Cloud-Precipitation Physics and Severe Storms(LACS), Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
2. State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081, China

收稿日期:2017-08-22 修回日期:2017-11-16 出版日期:2018-02-05 发布日期:2018-02-05
通讯作者: Shuai Yang E-mail:yangs@mail.iap.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 41375054, 41575064, and 91437215) and the Opening Foundation of the State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences (Grant Nos. 2015LASW-B01 and 2015LASW-A02).

Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing

Shuai Yang(杨帅)¹, Shou-Ting Gao(高守亭)^1,2, Bin Chen(陈斌)²

1. Laboratory of Cloud-Precipitation Physics and Severe Storms(LACS), Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
2. State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081, China

Received:2017-08-22 Revised:2017-11-16 Online:2018-02-05 Published:2018-02-05
Contact: Shuai Yang E-mail:yangs@mail.iap.ac.cn
About author:92.70.Gt; 92.70.Cp; 92.60.Qx
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 41375054, 41575064, and 91437215) and the Opening Foundation of the State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences (Grant Nos. 2015LASW-B01 and 2015LASW-A02).

摘要/Abstract

摘要：

Due to the importance of the mass forcing induced by precipitation and condensation in moist processes, the Lagrangian continuity equation without a source/sink term utilized to prove the Ertel-Rossby invariant (ERI) and its conservation property is re-derived considering the mass forcing. By introducing moist enthalpy and moisture entropy, the baroclinic ERI could be adapted to moist flow. After another look at the moist ERI, it is deployed as the dot product between the generalized velocity and the generalized vorticity in moist flow, which constitutes a kind of generalized helicity. Thus, the baroclinic ERI is further extended to the moist case. Moreover, the derived moist ERI forumla remains formally consistent with the dry version, no matter whether mass forcing is present. By using the Weber transformation and the Lagrangian continuity equation with a source/sink effect, the conservation property of the baroclinic ERI in moist flow is revisited. The presence or absence of mass forcing in the Lagrangian continuity equation determines whether or not the baroclinic ERI in moist flow is materially conserved. In other words, it would be qualified as a quasi-invariant but only being dependent on the circumstances. By another look at the moist baroclinic ERI, it is surely a neat formalism with a simple physical explanation, and the usefulness of its anomaly in diagnosing atmospheric flow is demonstrated by case study.

关键词: quasi-Ertel-Rossby invariant, generalized helicity, mass forcing, adapting

Abstract:

Key words: quasi-Ertel-Rossby invariant, generalized helicity, mass forcing, adapting

中图分类号: (Climate dynamics)

92.70.Gt

92.70.Cp (Atmosphere) 92.60.Qx (Storms)

杨帅, 高守亭, 陈斌. Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing[J]. 中国物理B, 2018, 27(2): 29201-029201.

Shuai Yang(杨帅), Shou-Ting Gao(高守亭), Bin Chen(陈斌). Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing[J]. Chin. Phys. B, 2018, 27(2): 29201-029201.

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Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing

Another look at the moist baroclinic Ertel-Rossby invariant with mass forcing

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