首页 | 本学科首页   官方微博 | 高级检索  
     检索      


On nonlinear planetary waves: A class of solutions missed by the traditional quasi-geostrophic approximation
Authors:Toshio Yamagata
Institution:(1) Research Institute for Applied Mechanics, Kyushu Univ., 6-10-1 Hakozaki, 812 Higashi-ku, Japan;(2) Present address: Geophysical Fluid Dynamics Program, Princeton University, P.O. Box 308, 08540 Princeton, N.J., USA
Abstract:Weakly nonlinear quasi-geostrophic planetary waves on a beta-plane and topographic waves over a linearly inclined bottom are examined by use of shallow water equations for a small beta parameter. Long solitary wave solutions missed by the use of the traditional quasi-geostrophic approximation are found in a channel ocean with neither a sheared current nor a curved (non-linearly inclined) bottom topography. The solutions are missed in the traditional approach because the irrotational motion associated with the geostrophic divergence is neglected by the quasi-geostrophic approximation. Another example which calls attention to the limitation of the traditional quasi-geostrophic approximation is the nonlinear evolution of divergent planetary eddies whose scale is much larger than the Rossby's radius of deformation. Some aspects of a new evolution equation are briefly discussed.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号