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首页> 外文期刊>Dynamics of Atmospheres and Oceans >Interaction of algebraic Rossby solitary waves with topography and atmospheric blocking
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Interaction of algebraic Rossby solitary waves with topography and atmospheric blocking

机译：代数Rossby孤立波与地形和大气阻塞的相互作用。

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In this article, a new equation governing the behavior of Rossby solitary waves is derived by employing perturbation expansions and stretching transformations of time and space, which is called mBO-mKdV-Burgers equation. The equation is different from the common BO equation, it is more suitable for describing the Rossby solitary waves when the perturbation is stronger. Based on the analytical solution of mBO-mKdV-Burgers equation, the features of Rossby solitary waves including conserved laws, fission property and dissipation effect are studied. It is found that dissipation causes the amplitude and speed of solitary waves decrease; breakup phenomenon will happen during propagation. Finally, numerical simulation is carried out to investigate the effect of detuning parameter alpha, topographical altitude and dissipation on the interaction of Rossby solitary waves with topography. It is pointed out that with decreasing of detuning parameter alpha, the propagation speed of solitary waves decreases and the interaction time increases, which is beneficial to form the large amplitude disturbance; with increasing of topographical altitude, the free solitary waves can not cross over topography; decreasing detuning parameter alpha and increasing topographical altitude are both mechanisms to generate atmospheric blocking; with the occurence of small dissipation, damping oscillation phenomenon will happen. (C) 2015 Elsevier B.V. All rights reserved.
机译：在本文中，通过利用时间和空间的摄动展开和拉伸变换，得出了一个控制罗斯比孤波行为的新方程，称为mBO-mKdV-Burgers方程。该方程不同于常见的BO方程，它更适合描述扰动较强的Rossby孤立波。基于mBO-mKdV-Burgers方程的解析解，研究了Rossby孤波的守恒律，裂变特性和耗散效应。发现耗散导致孤波的振幅和速度减小；在传播过程中会发生破裂现象。最后，通过数值模拟研究了失谐参数α，地形高度和耗散对Rossby孤波与地形相互作用的影响。指出随着失谐参数α的减小，孤波的传播速度减小，相互作用时间增加，有利于形成较大的振幅扰动。随着地形高度的增加，自由孤立波不能越过地形。减小失谐参数alpha和增加地形高度都是产生大气阻塞的机制；随着耗散的发生，会发生阻尼振荡现象。 （C）2015 Elsevier B.V.保留所有权利。

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