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Rossby waves with linear topography in barotropic fluids 总被引：1，自引：0，他引：1
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. 相似文献
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Abstract Variational problem for irrotational, incompressible inviscid fluid in finite water depth is considered. Based on the variational principle, a special solution of the problem is presented under the assumption that the dispersion /u and the nonlinearity ?satisfied e = O(fj2) as the Lagrange function is expanded up to O(//). It is shown that the elevation of the free surface should be expanded to // order to ensure the Lagrange function is in fj* order. Comparison the nonlinear free surface profiles obtained from the solution with the corresponding ones obtained from linear solutions showed that the wave crest of the nonlinear wave is steepened but the trough is flattened compared to the linear wave as expected. 相似文献
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In this paper, long interfacial waves of finite amplitude in uniform basic flows are considered with the assumption that the aspect ratio between wavelength and water depth is small. A new model is derived using the velocities at arbitrary distances from the still water level as the velocity variables instead of the commonly used depth-averaged velocities. This significantly improves the dispersion properties and makes them applicable to a wider range of water depths. Since its derivation requires no assumption on wave amplitude, the model thus can be used to describe waves with arbitrary amplitude. 相似文献
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利用2003—2012年铜川市空气质量监测数据,采用常规的统计方法,分析了铜川市空气质量年、季、小时变化特征及年变化趋势。结果表明,2003年以来铜川市环境空气污染浓度呈逐年下降的趋势,污染存在明显的季节变化,冬夏小时浓度也呈现出一定的规律。针对铜川市空气质量首要污染物,分析了污染成因,提出了相应的防治对策。 相似文献
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