KMS Of Academy of mathematics and systems sciences, CAS
On the generalized Ertel-Rossby invariant | |
其他题名 | On the Generalized Ertel-Rossby Invariant |
Gao Shouting1; Xu Pengcheng1; Ran Lingkun1; Li Na1 | |
2012 | |
发表期刊 | ADVANCES IN ATMOSPHERIC SCIENCES |
ISSN | 0256-1530 |
卷号 | 29期号:4页码:690-694 |
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. |
其他摘要 | 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. |
关键词 | POTENTIAL VORTICITY INVERSION CONSERVATION-LAWS potential vorticity generalized Ertel-Rossby invariant generalized vorticity generalized velocity |
收录类别 | CSCD |
语种 | 英语 |
资助项目 | [National Natural Science Foundation of China] ; [State Key Laboratory of Severe Weather (LaSW) Chinese Academy of Meteorological Sciences] |
CSCD记录号 | CSCD:4604719 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/53271 |
专题 | 应用数学研究所 |
作者单位 | 1.中国科学院大气物理研究所 2.中国科学院空间科学与应用研究中心 3.中国科学院数学与系统科学研究院 4.中国科学院大学 |
推荐引用方式 GB/T 7714 | Gao Shouting,Xu Pengcheng,Ran Lingkun,et al. On the generalized Ertel-Rossby invariant[J]. ADVANCES IN ATMOSPHERIC SCIENCES,2012,29(4):690-694. |
APA | Gao Shouting,Xu Pengcheng,Ran Lingkun,&Li Na.(2012).On the generalized Ertel-Rossby invariant.ADVANCES IN ATMOSPHERIC SCIENCES,29(4),690-694. |
MLA | Gao Shouting,et al."On the generalized Ertel-Rossby invariant".ADVANCES IN ATMOSPHERIC SCIENCES 29.4(2012):690-694. |
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