具有完整科里奥利力和漩涡结构的高维地球物理流体模型

IF 2.1 3区 物理与天体物理 Q2 ACOUSTICS Wave Motion Pub Date : 2024-09-14 DOI:10.1016/j.wavemoti.2024.103410
Na Liu , Xiaojun Yin , Ruigang Zhang , Quansheng Liu
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引用次数: 0

摘要

在此,我们利用加德纳-莫里川坐标变换和扰动法,从涡度方程中提出了一个描述大尺度罗斯比波动态特征的高维模型。为了揭示物理参数对高维模型的影响,我们首先给出了模型的频散关系,并用 Hirota 方法给出了 N-soliton 解。随后,利用长波极限法得出了块解。结果表明,科里奥利力的水平分量对非线性罗斯比波起着强迫作用,并影响着经向结构的振幅。此外,在次级带状基本流背景下,对于不同的块解,流场会出现偶极阻塞或双涡结构。研究还表明,水平科里奥利力只导致涡向纬度方向移动。
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A higher dimensional model of geophysical fluid with the complete Coriolis force and vortex structure
Here, we present a higher dimensional model from the vorticity equation, which describes the dynamic characteristics of large scale Rossby waves by utilizing the Gardner-Morikawa coordinate transformation and the perturbation method. To reveal the influence of physical parameters on the higher dimensional model, we first give the dispersion relation of the model and the N-soliton solutions by Hirota method. Subsequently, the lump solutions are derived by using the long wave limit method. It demonstrates that the horizontal component of the Coriolis force acts as a forcing force on the nonlinear Rossby waves, and affects the amplitude of the meridional structure. Moreover, under the background of secondary zonal basic flow, for different lump solutions, the flow field will appear dipole blocking or double vortex structure. It is also indicated that the horizontal Coriolis force only causes the vortex to move in the latitudinal direction.
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来源期刊
Wave Motion
Wave Motion 物理-力学
CiteScore
4.10
自引率
8.30%
发文量
118
审稿时长
3 months
期刊介绍: Wave Motion is devoted to the cross fertilization of ideas, and to stimulating interaction between workers in various research areas in which wave propagation phenomena play a dominant role. The description and analysis of wave propagation phenomena provides a unifying thread connecting diverse areas of engineering and the physical sciences such as acoustics, optics, geophysics, seismology, electromagnetic theory, solid and fluid mechanics. The journal publishes papers on analytical, numerical and experimental methods. Papers that address fundamentally new topics in wave phenomena or develop wave propagation methods for solving direct and inverse problems are of interest to the journal.
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