%0 Journal Article
%T Achievements in Geophysical Fluid Dynamics<br>地球流体力学的研究与进展
%A Mu Mu
%A Ji Zhongzhen
%A Wang Bin
%A Li Yang
%A <br>穆穆
%A 季仲贞
%A 王斌
%A 李扬
%J 大气科学
%D 2003
%I 
%X This survey is concerned with some main results and achievements in theoretical and compu-tational geophysical fluid dynamics obtained by the scientists of the Institute of Atmospheric Physics, Chinese Academy of Sciences. In the field of theoretical geophysical fluid dynamics, the contents are: long-wave dynamics and linear stability problems, weakly-nonlinear theory and planetary-wave dynam-ics, nonlinear stability criteria of atmospheric and oceanic motions established by Arnold method (ener-gy-Casimir method), the evolution of disturbance, the interaction of disturbance and basie state, and the conditional instability of the second kind (CISK) in the tropical atmospheric dynamics. For computa-tional geophysical fluid dynamics, the mechanism of computational disorder and instability is explained from both physical consideration and rnathematical analysis. The close relationship among computational stability, non-negative of operators and energy conservation is discussed. The finding of the nonlinear unstable solution of some internationally popular instantaneous energy conservation schemes and the de-sign of a series of explicit, implicit and high-resolution schemes which are cornpletely squarely conserva-tive and harmonic inside are presented. The development of many economic algorithms is described. Moreover, energy-conserving semi-Lagrangian scheme, multi-conservation scheme and sym-plectic difference scheme developed in recently years are briefly introduced.
%K geophysical fluid dynamics
%K stability and instability
%K completely squarely conservative
%K symplectic difference scheme
%K economic algorithm<br>地球流体力学
%K 稳定性与不稳定性
%K 总能量守恒
%K 辛几何算法
%K 经济算法
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=E62459D214FD64A3C8082E4ED1ABABED5711027BBBDDD35B&cid=28A2F569B2458C17&jid=46874A5A102033D774D00D819E91CD68&aid=BFBB21027B4B6714&yid=D43C4A19B2EE3C0A&vid=DB817633AA4F79B9&iid=E158A972A605785F&sid=128B7AEF80A42C95&eid=FD6137FFCE59D193&journal_id=1006-9895&journal_name=大气科学&referenced_num=1&reference_num=139