Exploring Solutions of Nonlinear Rossby Waves with Complete Coriolis Force

被引:0
作者
Zhao Qiang [1 ]
Yu Xin [1 ]
机构
[1] Peking Univ, Sch Phys, Beijing 100871, Peoples R China
基金
中国国家自然科学基金;
关键词
Coriolis force; Rossby waves; semi-geostrophic approximation; EARTHS ANGULAR VELOCITY; SHALLOW ROTATING ATMOSPHERE; HORIZONTAL COMPONENT; NORMAL-MODES; BETA-PLANE; EQUATIONS; MOTION; ROLES;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Nonlinear Rossby waves in a Boussinesq fluid model which includes both the vertical and horizontal components of Coriolis force are studied by using the semi-geostrophic approximation and the method of travelling-wave solution. Taylor series expansion has been employed to isolate the characteristics of the linear Rossby waves and identify the Rossby cnoidal and solitary waves. Qualitative analysis indicates that if the disturbances are independent of latitude, the effect of horizontal components of Coriolis force disappears.
引用
收藏
页码:185 / 188
页数:4
相关论文
共 50 条
  • [31] Two types of interaction phenomena of the lump wave for nonlinear model of Rossby waves
    Cao, Na
    Yin, XiaoJun
    Xu, LiYang
    SCIENTIFIC REPORTS, 2024, 14 (01):
  • [32] Notes and Correspondence Dynamically consistent shallow-atmosphere equations with a complete Coriolis force
    Tort, M.
    Dubos, T.
    QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 2014, 140 (684) : 2388 - 2392
  • [33] On the Theory of Symmetric Instability of Time-Periodic Flows with a Complete Account for the Coriolis Force
    M. V. Kurgansky
    Izvestiya, Atmospheric and Oceanic Physics, 2022, 58 : 329 - 339
  • [34] Dissipative Petviashvili equation for the two-dimensional Rossby waves and its solutions
    Chen, Xin
    Yang, Hongwei
    Dong, Jianwei
    Chen, Yaodeng
    Dong, Huanhe
    ADVANCES IN MECHANICAL ENGINEERING, 2017, 9 (11)
  • [35] Consistent shallow-water equations on the rotating sphere with complete Coriolis force and topography
    Tort, Marine
    Dubos, Thomas
    Bouchut, Francois
    Zeitlin, Vladimir
    JOURNAL OF FLUID MECHANICS, 2014, 748 : 789 - 821
  • [36] On the Theory of Symmetric Instability of Time-Periodic Flows with a Complete Account for the Coriolis Force
    Kurgansky, M., V
    IZVESTIYA ATMOSPHERIC AND OCEANIC PHYSICS, 2022, 58 (04) : 329 - 339
  • [37] A method for constructing special solutions for multidimensional generalization of euler equations with coriolis force
    Fan, Engui
    Yuen, Manwai
    CHINESE JOURNAL OF PHYSICS, 2021, 72 : 136 - 144
  • [38] Existence of periodic solutions and their asymptotic stability to the Navier–Stokes equations with the Coriolis force
    Hideo Kozono
    Yuki Mashiko
    Ryo Takada
    Journal of Evolution Equations, 2014, 14 : 565 - 601
  • [39] Symmetric and asymmetric inertial instability of zonal jets on the f-plane with complete Coriolis force
    Tort, Marine
    Ribstein, Bruno
    Zeitlin, Vladimir
    JOURNAL OF FLUID MECHANICS, 2016, 788 : 274 - 302
  • [40] Nonlinear advection, Coriolis force, and frictional influence in the South Channel of the Yangtze Estuary, China
    ZhongYong Yang
    HeQin Cheng
    JiuFa Li
    Science China Earth Sciences, 2015, 58 : 429 - 435