Analytical solutions for thermal forcing vortices in boundary layer and its applications  

作　　者：刘晓冉 李国平 

机构地区：[1]Center for Plateau Atmospheric and Environmental Research,Chengdu University of Information Technology,Chengdu 610225,P. R. China Chongqing Climate Center,Chongqing 401147,P. R. China [2]Center for Plateau Atmospheric and Environmental Research,Chengdu University of Information Technology,Chengdu 610225,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第4期429-439,共11页应用数学和力学（英文版）

基　　金：Project supported by the National Key Basic Research and Development Project of China(No.2004CB418300);the National Natural Science Foundation of China (No.40375023)

摘　　要：Using the Boussinesq approximation, the vortex in the boundary layer is assumed to be axisymmetrical and thermal-wind balanced system forced by diabatic heating and friction, and is solved as an initial-value problem of linearized vortex equation set in cylindrical coordinates. The impacts of thermal forcing on the flow field structure of vortex are analyzed. It is found that thermal forcing has significant impacts on the flow field structure, 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 boundary layer can explain some main structures of the vortex over the Tibetan Plateau.Using the Boussinesq approximation, the vortex in the boundary layer is assumed to be axisymmetrical and thermal-wind balanced system forced by diabatic heating and friction, and is solved as an initial-value problem of linearized vortex equation set in cylindrical coordinates. The impacts of thermal forcing on the flow field structure of vortex are analyzed. It is found that thermal forcing has significant impacts on the flow field structure, 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 boundary layer can explain some main structures of the vortex over the Tibetan Plateau.

关 键 词：VORTEX boundary layer analytical solutions thermal forcing STRUCTURE 

分 类 号：P431[天文地球—大气科学及气象学]