Couette流能量的演变  

On the evolution of Couette flow energy

作　　者：张亮[1,2] 付伟基[3] 张立凤[1] 吴海燕[4] 黄泓[1] 

机构地区：[1]解放军理工大学气象学院地球物理研究室,南京211101 [2]96165部队,乐平333300 [3]96251部队,洛阳471003 [4]94855部队,衢州324001

出　　处：《物理学报》2010年第3期1437-1448,共12页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(批准号:2007CB411800;2004CB418304);中国气象局上海台风所台风基金(批准号:2008ST06)资助的课题~~

摘　　要：利用Green函数法解析求得Couette流流函数的精确解,通过定义Couette能量、相对能量和能量增长率讨论了初始场结构对Couette流能量演变的影响、能量达到最大值时对应的时间与初始场的关系、最有利于Couette流能量在有限时段快速增长的初始场结构,并对Farrell的研究结果进行了补充和完善.在此基础上,进一步探讨了初值扰动对Couette流能量演变的影响.In this paper, the Green function method is used to obtain the exact solution of Couette flow. By defining the Couette flow energy, the relative energy and the energy increase ratio, we discuss the relations between the structure of initial field and the evolution of Couette flow energy, the relations between the time corresponding to Couette flow energy attaining to its maximum and the structure of initial field together with the structure of initial field which can optimal excitated Couette flow energy increasing within a finite time interval. We further investigate the relations between the perturbed initial field and the evolution of Couette flow energy. The conclusions of this paper are supplementary to Farrell’s conclusions.

关 键 词：COUETTE流 Green函数法 标准模 初值问题 

分 类 号：O353[理学—流体力学]