热源强迫的边界层低涡解及其应用  

Analytical Solutions for the Thermal Forcing Vortices in the Boundary Layer and Its Applications

作　　者：刘晓冉[1] 李国平[1] 

机构地区：[1]成都信息工程学院高原大气与环境研究中心

出　　处：《应用数学和力学》2007年第4期391-400,共10页Applied Mathematics and Mechanics

基　　金：国家重点基础研究发展计划项目(2004CB418300);国家自然科学基金资助项目(40375023)

摘　　要：考虑边界层低涡为受非绝热加热和摩擦强迫并满足热成风平衡的轴对称涡旋系统,采用Boussinesq近似,通过求解柱坐标系中涡旋模式的初值问题,分析了热源强迫对低涡流场结构的影响.结果表明:热源强迫对低涡的流场结构有重要影响,并且这种影响的具体表现形式与加热的径向分布有密切关系.对边界层涡旋解讨论的结果可以解释青藏高原低涡系统的某些重要结构特征.Using the Boussinesq approximation, the vortex in the boundary layer was assumed to be axisymmetrical and thermal-wind balanced system forced by diabatic heating and friction, and was solved as an initial-vahe problem of lineatized vortex equation set in cylindrical coordinates. The impacts of thermal forcing on the flow field structure of vortex were analyzed. It is found that thermal forcing has significant impacts on the flow field structore, and the material representative forms of these impacts are closely related to the radial distribution of heating. The discussion for the analytical solutions for the vortex in the boondary layer can explain some main structures of the vortex over the Tibetan Plateau.

关 键 词：涡旋 边界层 解析解 强迫 结构 

分 类 号：P431[天文地球—大气科学及气象学]