近赤道Rossby孤立波的新模型及动力学机制研究
Study on the New Model and Dynamical Mechanism of the Near Equatorial Rossby Solitary Waves
安景博 1张瑞岗 1杨联贵1
作者信息
- 1. 内蒙古大学数学科学学院,呼和浩特 010021
- 折叠
摘要
基于Verkley和Velde的数学模型,研究了线性基本流和非线性地形共同作用下的近赤道非线性Rossby波动力学机制,利用多重尺度和弱非线性法,得到Rossby波振幅新的非线性演化方程,进一步讨论了在给定参数条件下的热带大气和海洋的动力学机制.
Abstract
Based on the mathematical model given by Verkley and Velde,the present paper con-siders the dynamical mechanism of the near Equatorial Rossby solitary waves under the effects of both linear background current and nonlinear topography.A nonlinear evolutionary equation for the Rossby wave amplitude is derived by using the methods of multiple scales and weak nonlinear expansions.Discussions on the physical mechanism of the atmospheres and oceans in the tropics are further done according to the specific parameters of basic current and topography.
关键词
位势涡度/地形/赤道Rossby波/Hermite方程/Boussinesq方程Key words
conserved potential vorticity/topography/equatorial Rossby waves/Hermite equa-tion/Boussinesq equation引用本文复制引用
基金项目
国家自然科学基金项目(12102205)
国家自然科学基金项目(12262025)
国家自然科学基金项目(12362027)
内蒙古高等学校青年科技英才项目(NJYT23098)
内蒙古高等学校创新团队发展计划项目(NMGIRT2208)
出版年
2024
NETL
NSTL
万方数据