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正压过滤模式大气中的对称运动和非对称运动
引用本文:廖洞贤,邹晓蕾.正压过滤模式大气中的对称运动和非对称运动[J].气象学报,1986,44(1):28-37.
作者姓名:廖洞贤  邹晓蕾
作者单位:国家气象局北京气象中心 (廖洞贤),国家气象局北京气象中心(邹晓蕾)
摘    要:把流函数分成对赤道对称和对赤道反对称的两部分,可以把正压涡度方程分离为描写大气对称运动和反对称运动的两个方程。根据它们,讨论了在全球范围内几种基本物理量,如涡度和绝对角动量等在对称和反对称情况的守恒性。还给出了这两类运动的能量收支方程和能量转换表达式。可以看出,在大气中不仅有纬圈平均动能和扰动动能之间的转换,也有对称运动产生的和反对称运动产生的动能之间的转换。 还在涡度方程中考虑地形和水平扩散的情形下,提出了大气非对称性质产生的机制。结果表明:非对称的地形分布和水平扩散系数的分布可能是导致非对称运动的原因。 最后,还对全球预报和半球预报,从物理观点作了理论比较。

收稿时间:1985/4/12 0:00:00
修稿时间:1985/5/11 0:00:00

THE SYMMETRIC AND THE ASYMMETRIC MOTION IN THE BAROTROPIC FILTERED MODEL ATMOSPHERE
Liao Dongxian and Zou Xiaolei.THE SYMMETRIC AND THE ASYMMETRIC MOTION IN THE BAROTROPIC FILTERED MODEL ATMOSPHERE[J].Acta Meteorologica Sinica,1986,44(1):28-37.
Authors:Liao Dongxian and Zou Xiaolei
Institution:State Meteorological Administration;State Meteorological Administration
Abstract:By expressing the stream function in terms of the symmetric and the antisymmetric component with respect to the equator, the barotropic vorticity equation can be separated into two equations, one describing the behaviours of the atmospheric symmetric motion, and the other describing those of the atmospheric antisymmetric motion. From them, for the entire spherical surface, the conservation of several basic physical quantities, such as vorticities, angular momentums etc. in the symmetric case and in the antisymmetric case, are discussed. In addition, the energy budget equations and the energy conversion expressions for the two kinds of motion are given. It can be seen from them that there are not only the conversion between the zonal mean kinetic energy and the disturbed energy in the atmosphere, but also the conversion between the kinetic energy generated by the symmetric motion and the kinetic energy by the antisymmetric motion.In the case of including orography and horizontal diffusion into the vorticity equation, a mechanism of the generation of asymmetric behaviours of the atmosphere is proposed. The results show that the asymmetric distribution of orography and that of horizontal diffusion coefficients are likely to be the causes leading to the asymmetric motion. Finally, a theoretical comparison between the global prediction model and the hemispheric one from physical point of view is made.
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