计算涡度的新方法  

A new method for calculating vorticity

作　　者：蔡其发[1] 黄思训[2] 高守亭[1] 钟科[1] 李自强[3] 

机构地区：[1]中国科学院大气物理研究所,北京100029 [2]解放军理工大学气象学院,南京211101 [3]中国海洋大学,青岛266003

出　　处：《物理学报》2008年第6期3912-3919,共8页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:40775023);国家重点基础研究发展规划项目(批准号:2004CB418301);中国科学院海外杰出学者基金(批准号:2005-2-17)资助的课题~~

摘　　要：提出应用一维数值微分算法求取观测风场的涡度场,并与中央差分方法作了比较.结果表明,一维数值微分算法稳定、可行且计算精度较高,对较小尺度的天气系统具有较强的识别能力.It is well known that it often leads to large error to calculate the first order partial derivatives of physical quantities by the difference method from observation data with error. Especially in meteorology, observational wind has large error, and calculating vorticity from observational wind is very inaccurate. Therefore, one-dimensional numerical differentiation algorithm is applied to calculate vorticity from observational wind, and the result is compared with that of the central difference method. It turns out that the one-dimensional numerical differentiation algorithm is stable and feasible. Its accuracy is superior to the central difference method, and it has stronger recognizing ability for the smaller-scale weather systems.

关 键 词：数值微分 吉洪诺夫正则化 正则化解 

分 类 号：P433[天文地球—大气科学及气象学]