On the Generalized Ertel-Rossby Invariant

A new invariant called the generalized Ertel Rossby invariant （GER） was developed in this study. The new invariant is given by the dot product of the generalized vorticity and the generalized velocity. The generalized vortieity is the absolute vorticity minus the cross product of the gradient of Lag...

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Published inAdvances in atmospheric sciences Vol. 29; no. 4; pp. 690 - 694
Main Author 高守亭 许鹏程 冉令坤 李娜
Format Journal Article
LanguageEnglish
Published Heidelberg SP Science Press 01.07.2012
Springer Nature B.V
Subjects
Atmospheric Sciences
Atmospherics
Climatology
Dynamic tests
Earth and Environmental Science
Earth Sciences
Entropy
Geophysics/Geodesy
Invariants
Lagrange multiplier
Meteorology
Small scale
Temperature
Velocity
Vorticity
Weather
位势涡度
天气现象
广义速度
拉格朗日
温度梯度
研究开发
绝对速度
集成温度
generalized velocity
generalized vorticity
potential vorticity
generalized Ertel-Rossby invariant
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ISSN0256-1530
1861-9533
DOI10.1007/s00376-012-1145-5

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Summary:A new invariant called the generalized Ertel Rossby invariant （GER） was developed in this study. The new invariant is given by the dot product of the generalized vorticity and the generalized velocity. The generalized vortieity is the absolute vorticity minus the cross product of the gradient of Lagrangian--time integrated temperature and the gradient of entropy. The generalized velocity is the absolute velocity minus the sum of the gradient of Lagrangian-time integrated kinetic potential and the Lagrangian time integrated temperature multiplied by the gradient of entropy. In addition to the traditional potential vorticity, the GER invariant may provide another useful tool to study the atmospheric dynamic processes for weather phenomena ranging from large scales to small scales.
Bibliography:A new invariant called the generalized Ertel Rossby invariant （GER） was developed in this study. The new invariant is given by the dot product of the generalized vorticity and the generalized velocity. The generalized vortieity is the absolute vorticity minus the cross product of the gradient of Lagrangian--time integrated temperature and the gradient of entropy. The generalized velocity is the absolute velocity minus the sum of the gradient of Lagrangian-time integrated kinetic potential and the Lagrangian time integrated temperature multiplied by the gradient of entropy. In addition to the traditional potential vorticity, the GER invariant may provide another useful tool to study the atmospheric dynamic processes for weather phenomena ranging from large scales to small scales.
GAO Shouting, XU Pengcheng, RAN Lingkun, LI Na（1 Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029 2Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190 3 Graduate University of Chinese Academy of Sciences, Beijing 100040 4 State Key Laboratory of Severe Weather, Chinese Academy of Meteorological Sciences, Beijing 100081）
potential vorticity, generalized Ertel-Rossby invariant, generalized vorticity, generalized velocity
11-1925/O4
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ISSN:0256-1530
1861-9533
DOI:10.1007/s00376-012-1145-5