On the generalized Ertel-Rossby invariant

被引：3

作者：

Gao Shouting ^{[1
,4
]}

Xu Pengcheng ^{[2
]}

Ran Lingkun ^{[1
]}

Li Na ^{[1
,3
]}

机构：

[1] Chinese Acad Sci, Inst Atmospher Phys, Beijing 100029, Peoples R China

[2] Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[3] Chinese Acad Sci, Grad Univ, Beijing 100040, Peoples R China

[4] Chinese Acad Meteorol Sci, State Key Lab Severe Weather, Beijing 100081, Peoples R China

来源：

ADVANCES IN ATMOSPHERIC SCIENCES | 2012年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

potential vorticity; generalized Ertel-Rossby invariant; generalized vorticity; generalized velocity; POTENTIAL VORTICITY INVERSION; CONSERVATION-LAWS;

D O I：

10.1007/s00376-012-1145-5

中图分类号：

P4 [大气科学（气象学）];

学科分类号：

0706 ; 070601 ;

摘要：

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 vorticity 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.

引用

页码：690 / 694

页数：5

共 21 条

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