非绝热二维滞弹性流体的动力稳定性  

The Dynamic Stability of a Two-Dimensional, Non-Adiabatic,Anelastic Fluid

作　　者：沈新勇[1] 倪允琪[2] 丁一汇[3] 

机构地区：[1]南京大学大气科学系,江苏南京210093 [2]中国气象科学研究院,北京100081 [3]国家气候中心,北京100081

出　　处：《南京气象学院学报》2002年第4期472-480,共9页Journal of Nanjing Institute of Meteorology

基　　金：国家重点基础研究发展规划项目"我国重大天气灾害的机理和预测理论的研究"G19980 40 90 7

摘　　要：采用滞弹性近似下的二维流体动力学方程组 ,讨论了中尺度对称扰动的动力稳定性 ,得到其绝热情况下对称不稳定的判据条件。研究结果表明 ,相对于浅对流的情况而言 ,深对流情况下对称不稳定的条件更为苛刻一些。在考虑非绝热加热时 ,扰动增长率随其波长的变化会产生间断现象。中低层加热明显对中 -β尺度扰动具有激发增长的作用 ,并且促使扰动向暖区传播。而中高层加热则具有一定的差异性。The dynamic stability of meso-scale symmetric perturbation is discussed in terms of two-dimensional fluid-dynamics equations under anelastic approximation,which obtains the criterion of symmetric instability in an adiabatic case.The study indicates that the condition of symmestic perturbation is more rigorous for deep convection than that for shallow one,that the disturbance growth rates experience intermittence in their wavelength-dependent variation in the case of non-adiabatic heating,and that unlike it at mid-upper levels, the heating at mid-lower levels exerts a trigger action to the augment of meso-β perturbation,and causes the perturbation to propagate into a warm sector.

关 键 词：二维滞弹性流体 动力稳定性 对称不稳定 非绝热加热 中尺度扰动 温带气旋 

分 类 号：P433[天文地球—大气科学及气象学] P447