| Rossby waves with linear topography in barotropic fluids |
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| 作者姓名： | 杨联贵 达朝究 宋建 张会琴 杨红丽 侯一筠 |
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| 作者单位： | School of Mathematical Sciences，Inner Mongolia University，Hohhot 010021，China，College of Computer Sciences and Information Engineering，Northwest University for Nationalities，Lanzhou 730124，China，College of Science，Inner Mongolia University of Technology，Hohhot 010062，China，Institute of Mechanics，Chinese Academy of Sciences，Beijing 100080，China，Institute of Oceanology，Chinese Academy of Sciences，Qingdao 266071，China |
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| 基金项目： | 中国科学院知识创新工程项目，Scientific Research Foundation for the Returned Overseas Chinese Scholar，内蒙古自然科学基金 |
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| 摘 要： | Rossby waves are the most important waves in the atmosphere and ocean, and are parts of a large-scale system in fluid. The theory and observation show that, they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper, solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem, the topography is taken as a linear function of latitude variable y, then employing a weakly nonlinear method and a perturbation method, a KdV （Korteweg-de Vries） equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow, and extend the classical geophysical theory of fluid dynamics.
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| 关 键 词： | 非线性罗斯贝波 KdV方程 地貌 干扰方法 |
Rossby waves with linear topography in barotropic fluids |
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| Liangui?Yang,Chaojiu?Da,Jian?Song,Huiqin?Zhang,Hongli?Yang,Yijun?Hou.Rossby waves with linear topography in barotropic fluids[J].Chinese Journal of Oceanology and Limnology,2008,26(3):334-338. |
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| Authors: | Liangui Yang Chaojiu Da Jian Song Huiqin Zhang Hongli Yang Yijun Hou |
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| Institution: | [1]School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China [2]College of Computer Sciences and Information Engineering, Northwest University for Nationalities, Lanzhou 730124, China [3]College of Science, Inner Mongolia University of Technology, Hohhot 010062, China [4]Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China [5]Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071, China |
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| Abstract: | Rossby waves are the most important waves in the atmosphere and ocean, and are parts of a large-scale system in fluid. The theory and observation show that, they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper, solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem, the topography is taken as a linear function of latitude variable y, then employing a weakly nonlinear method and a perturbation method, a KdV (Korteweg-de Vries) equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow, and extend the classical geophysical theory of fluid dynamics. |
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| Keywords: | nonlinear Rossby waves KdV equation topography effect perturbation method |
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