气象学报2011，Vol.69Issue(3)：412-422,11.
一类高阶位涡反演的算法及其应用
A higher-order potential vorticity inversion algorithm and its application
摘要
Abstract
Having investingated into the general concept of potential vorticity inversion (hereafter, referred to as PV inversion) and its properties as well as its recent progress, the authors point out that this technology has deficiency in meso-scale systems research and, the higher-order PV inversion operator needs to be developed for these issues. The PV inversion operator depends on how to proper establish a balance equation to a great extent. However, the spontaneous emission of inertia-gravity waves makes the exact balanced flow be hardly to exist and is potentially related to the fuzziness of the so-called slow manifold. A series of problems with the slow manifold were introduced and discussed, including how to overcome the fuzzy property. From the basic characters of slow manifold, a new definition was given and the corresponding higher-order balance equations were deduced. The characteristics of this higher-order balance e-quation and its application in the PV inversion for meso-scale research are investigated. Finally, the technology was used to the diagnostic study of the rainfall event in the Yangtzi River-Huaihe River area caused by a low vortex moving eastward between July 21 and 24 2008. The analysis results demonstrate that the higher-order PV inversion operator is better than the old one satisfying the non-linear balance equation. In addition, some meaningful conclusions were drawn based on the analyses of the balanced flow, vertical velocity field and non-balanced flow.关键词
位涡反演/平衡流/慢流形/高阶位涡反演Key words
PV inversion/Balanced flow/Slow manifold/Higher-order PV inversion分类
天文与地球科学引用本文复制引用
甘璐,赵南,沈新勇..一类高阶位涡反演的算法及其应用[J].气象学报,2011,69(3):412-422,11.基金项目
国家自然科学基金项目(40775033)、国家重点基础研究发展规划项目(2009CB421503)和灾害天气国家重点实验室开放课题. （40775033）
