The impact of nonlinear stability and instability on the validity of the tangent linear model |
| |
| Authors: | Mu Mu Guo Huan Wang Jiafeng Li Yong |
| |
| Institution: | (1) LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, 100029 Beijing;(2) Joint Center for Earth System Technology, University of Maryland, Baltimore County, Maryland, USA |
| |
| Abstract: | The impact of nonlinear stability and instability on the validity of tangent linear model (TLM) is investigated by comparing its results with those produced by the nonlinear model (NLM) with the identical initial perturbations. The evolutions of different initial perturbations superposed on the nonlinearly stable and unstable basic flows are examined using the two-dimensional quasi-geostrophic models of double periodic-boundary condition and rigid boundary condition.The results indicate that the valid time period of TLM, during which TLM can be utilized to approxi-mate NLM with given accuracy, varies with the magnitudes of the perturbations and the nonlinear stability and instability of the basic flows. The larger the magnitude of the perturbation is, the shorter the valid time period. The more nonlinearly unstable the basic flow is, the shorter the valid time period of TLM. With the double-periodic condition the valid period of the TLM is shorter than that with the rigid-boundary condi-tion. |
| |
| Keywords: | Nonlinear stability and instability Tangent linear model (TLM) Validity |
| 本文献已被 CNKI SpringerLink 等数据库收录！ |
| 点击此处可从《大气科学进展》浏览原始摘要信息 |
| 点击此处可从《大气科学进展》下载免费的PDF全文 |
|
