全球(Z)双三次数值模式的设计与个例模拟(Ⅱ):个例模拟结果分析  

Design of Global(Z) Bicubic Numerical Model(BiNM) with Its Simulation Cases(Ⅱ): Analysis of the Simulated Case Result

作　　者：辜旭赞[1] 张兵[1] 

机构地区：[1]中国气象局武汉暴雨研究所,湖北武汉430074

出　　处：《高原气象》2008年第3期481-490,共10页Plateau Meteorology

基　　金：国家自然科学基金项目(40575053);湖北省科技攻关计划课题(2005AA308B01)共同资助

摘　　要：引入双三次数值模式:通过"双三次曲面拟合—时间步长积分—双三次曲面拟合—……",实现成为一种新算法的数值模式。在球面Z坐标系上,给出全球经纬网格双三次数值模式的一个设计。全球(Z)双三次数值模式采用非静力、全可压、干/湿绝热大气运动动力框架,并采用显式水平方向准拉格朗日/垂直方向欧拉时间积分方案,用NCEP再分析资料做初值场,初步模拟出从极地到热带的基本大气环流。模拟试验表明:因大气运动本质上是非线性的,当限定模式大气作线性"一次运动"时,个例模拟无须任何平滑;但限定模式大气作"三次运动"时,必须有适当平滑。本文认为,未来双三次数值模式可按场变量双三次曲面曲率,以判断采用符合物理诠释的局域(或单点)平滑;又若大气非线性运动不稳定区恰是天气系统发源地,则全球多重/时变套网格双三次数值模式是今后研究的方向。Introducing Bicubic Numerical Model （BiNM for short） with a new algorithm of ＂bicubic surface fitting-time step integration bicubic surface fitting＂, and gives a design to global （holospheric） BiNM with latitude-longitude grids. The global BiNM holds the dynamic framework of non-static, holocompressible, and dry/wet adiabatic model atmosphere in the Z coordinate system, and uses the explicit semi-Lagrangian time integration scheme in horizontal direction but Euler time integration scheme in vertical direction, and adopts the reanalysis data of NCEP being adopted for getting an initial field, and some cases are firstly shown to have succeeded in simulating the atmospheric general circulation form tropical zone to polar region, as well as the typhoon disturbances, the trough and ridge propagations, the subtropical high and tropical low movements, and so on. Since atmospheric motion is essentially non-linear, it does not need any smooth when definition model atmosphere maks ＂linear movement＂ in the simulation course. However, when the definition model atmosphere does ＂cubic movement＂, it must have suitably smoothes. So the future BiNM according to the bicubic surface curvature of one variable field, judge the reasonable local area, or simple point to be smooth, which must conform to the physical interpretation. If the instability area of atmospheric non-linear motion is just the origin place of some weather system, accordingly a global multi nested/time variation grid BiNM had to be developed in the future.

关 键 词：双三次数值模式 全球经纬网格模式设计 准拉格朗日/欧拉时间积分方案 数值模拟 大气非线性运动 

分 类 号：P456.7[天文地球—大气科学及气象学]