基本流纬向切变下的稳定辐射斜压位涡

刘楠; 宋健

doi:10.21656/1000-0887.440168

基本流纬向切变下的稳定辐射斜压位涡

doi: 10.21656/1000-0887.440168

刘楠,
宋健^,

内蒙古工业大学理学院, 呼和浩特 010051

基金项目:

国家自然科学基金 42275052

内蒙古自治区高等学校科学研究重点项目 NJZZ23087

内蒙古自治区研究生科研创新项目 JY20220388

详细信息

作者简介:
刘楠(2000—), 女, 硕士生(E-mail: liu25151909@163.com)

通讯作者:
宋健(1970—), 男, 教授, 博士(通讯作者. E-mail: songjian@imut.edu.cn)

中图分类号: O351;P433
计量
- 文章访问数: 123
- HTML全文浏览量: 39
- PDF下载量: 43
- 被引次数: 0
出版历程
- 收稿日期: 2023-06-01
- 修回日期: 2023-10-02
- 刊出日期: 2024-01-01

Stable Radiation Baroclinic Potential Vortices Under Basic Flow Zonal Shear

LIU Nan,
SONG Jian^,

College of Science, Inner Mongolia University of Technology, Hohhot 010051, P.R.China

摘要

摘要: 在大尺度垂直剪切中，嵌入一类新的、稳定传播的斜压涡旋，它辐射的Rossby波没有衰减.通过考虑Beta平面上的两层模型为基础，利用纬向二次剪切流与稳定辐射斜压流体之间的色散关系变化，进行数值模拟，得出了二次剪切流对稳定辐射斜压位涡(potential vorticity, PV)不稳定性的影响; 同时涡旋产生的Rossby波，引起经向涡旋的传播及其他相干的热流; 对于亚热带海洋向西流，随纬度变化，通过三角函数近似解，给出相应Bessel函数数值解，得到二次剪切流使得上层PV梯度的减少，持续延长了涡旋的寿命.
- 二次剪切流 /
- 稳定辐射 /
- 斜压涡旋
Abstract: In large-scale vertical shear, a new type of stably propagating baroclinic vortex was embedded, to radiate Rossby waves without attenuation. Numerical simulations were carried out based on the 2-layer model in the beta-effect plane, by means of the variation of the dispersion relation between the zonal quadratic shear flow and the stable radiation of the baroclinic fluid. The effect of the zonal quadratic shear flow on the baroclinic potential vortex instability of steady radiation, was derived. At the same time, the Rossby waves generated by the vortices cause the propagation of the meridional vortices and other coherent heat flows. For the westward flow of the subtropical ocean, with the latitude change, the approximate solution of the trigonometric function gives the numerical solution of the relevant Bessel function. The results show that, the quadratic shear flow reduces the PV gradient in the upper layer and continues to extend the life of the vortex.
- quadratic shear flow /
- stable radiation /
- baroclinic vortex

HTML全文

图 1 当a₁=0, a₂≠0时，ω与a₂的关系

Figure 1. The relationship between ω and a₂ for a₁=0, a₂≠0

下载: 全尺寸图片幻灯片

图 2 当a₂=0, a₁≠0时，ω与a₁的关系

Figure 2. The relationship between ω and a₁ for a₂=0, a₁≠0

下载: 全尺寸图片幻灯片

图 3 当a₁≠0时，a₁对ω与a₂关系的影响

Figure 3. The effect of a₁ on the relationship between ω and a₂ for a₁≠0

下载: 全尺寸图片幻灯片

图 4 当a₂≠0时，a₂对ω与a₁关系的影响

Figure 4. The effect of a₂ on the relationship between ω and a₁ for a₂≠0

下载: 全尺寸图片幻灯片

图 5 ω与a₁, a₂的三维关系

注为了解释图中的颜色，读者可以参考本文的电子网页版本.

Figure 5. The 3D relationships between ω and a₁, a₂

下载: 全尺寸图片幻灯片

参考文献(25)

[1]	AGUEDIOU H, DADOU L, CHAIGNEAU A, et al. Eddies in the tropical Atlantic ocean and their seasonal variability[J]. Geophysical Research Letters, 2019, 46(21): 12156-12164. doi: 10.1029/2019GL083925
[2]	GALLET B, FERRARI R. The vortex gas scaling regime of baroclinic turbulence[J]. Proceeding of the National Academy of Sciences, 2020, 117(9): 4491-4497. doi: 10.1073/pnas.1916272117
[3]	ARBIC B K, FLIERL G R. Coherent vortices and kinetic energy ribbons in asymptotic, quasi two-dimensional f-plane turbulence[J]. Physics of Fluids, 2003, 15(8): 2177-2189. doi: 10.1063/1.1582183
[4]	王爽, 菅永军. 周期壁面电势调制下平行板微管道中的电磁电渗流动[J]. 应用数学和力学, 2020, 41(4): 396-405. doi: 10.21656/1000-0887.400151 WANG Shuang, JIAN Yongjun. Magnetohydrodynamic electroosmotic flow in zeta potential patterned micro-parallel channels[J]. Applied Mathematics and Mechanics, 2020, 41(4): 396-405. (in Chinese)) doi: 10.21656/1000-0887.400151
[5]	FLIERL G R. Rossby wave radiation from a strongly nonlinear warm eddy[J]. Journal of Physical Oceanography, 1984, 14(1): 47-58. doi: 10.1175/1520-0485(1984)014<0047:RWRFAS>2.0.CO;2
[6]	NYCANDER J, SUTYRIN G G. Steadily translating anticyclones on the beta plane[J]. Dynamics of Atmospheres and Oceans, 1992, 16(6): 473-498. doi: 10.1016/0377-0265(92)90002-B
[7]	PAKYARI A, NYCANDER J. Steady two-layer vortices on the beta-plane[J]. Dynamics of Atmospheres and Oceans, 1996, 25(2): 67-86. doi: 10.1016/S0377-0265(96)00475-7
[8]	穆穆. 两个大气动力学模式整体强解的存在唯一性[J]. 应用数学和力学, 1986, 7(10): 907-912. http://www.applmathmech.cn/article/id/3955 MU Mu. Existence and uniqueness of global strong solutions of two models in atmospheric dynamics[J]. Applied Mathematics and Mechanics, 1986, 7(10): 907-912. (in Chinese)) http://www.applmathmech.cn/article/id/3955
[9]	SUTYRIN G G, DEWAR W K. Almost symmetric solitary eddies in a two-layer ocean[J]. Journal of Fluid Mechanics, 1992, 238: 633-656. doi: 10.1017/S0022112092001848
[10]	HELD I M, LARICHEV V D. A scaling theory for horizontally homogeneous, baroclinically unstable flow on a beta plane[J]. Journal of the Atmospheric Sciences, 1996, 53(7): 946-952. doi: 10.1175/1520-0469(1996)053<0946:ASTFHH>2.0.CO;2
[11]	SUTYRIN G G, RADKO T. Why the most long-lived oceanic vortices are found in the subtropical westward flows[J]. Ocean Model, 2021, 161: 101782. doi: 10.1016/j.ocemod.2021.101782
[12]	SUTYRIN G G, HESTHAVEN J S, LYNOV J P, et al. Dynamical properties of vortical structures on the beta-plane[J]. Journal of the Fluid Mechanics, 1994, 268: 103-131. doi: 10.1017/S002211209400128X
[13]	DILMAHAMOD A F, AGUIAR-GONZALEZ B, PENVEN P, et al. SIDDIES corridor: a major east-west pathway of long-lived surface and subsurface eddies crossing the subtropical South Indian Ocean[J]. Journal of Geophysical Research: Oceans, 2018, 123(8): 5406-5425. doi: 10.1029/2018JC013828
[14]	SUTYRIN G G. How baroclinic vortices intensify resulting from erosion of their cores and/or changing environment[J]. Ocean Modell, 2020, 156(3): 101711.
[15]	陈利国, 杨联贵. 推广的β平面近似下带有外源和耗散强迫的非线性Boussinesq方程及其孤立波解[J]. 应用数学和力学, 2020, 41(1): 98-106. doi: 10.21656/1000-0887.400067 CHEN Liguo, YANG Liangui. A nonlinear Boussinesq equation with external source and dissipation forcing under generalized β plane approximation and its solitary wave solutions[J]. Applied Mathematics and Mechanics, 2020, 41(1): 98-106. (in Chinese)) doi: 10.21656/1000-0887.400067
[16]	YANG L, DA C, SONG J, et al. Rossby waves with linear topography in barotropic fluids[J]. Chinese Journal of Oceanology and Limnology, 2008, 26: 334-338. doi: 10.1007/s00343-008-0334-7
[17]	LARICHEV V D, REZNIK G M. Two-dimensional Rossby soliton: an exact solution[J]. Doklady Akademii Nauk SSSR, 1976, 231(5): 1077-1079.
[18]	TULLOCH R, MARSHALL J, HILL C, et al. Scales, growth rates and spectral fluxes of baroclinic instability in the ocean[J]. Journal of Physical Oceanography, 2011, 41(6): 1057-1076. doi: 10.1175/2011JPO4404.1
[19]	GUO C Z, JIAN S. Baroclinic instability of a time-dependent zonal shear flow[J]. Atmosphere, 2022, 13(7): 1058. doi: 10.3390/atmos13071058
[20]	PEDLOSKY J. Geophysical Fluid Dynamics[M]. Springer-Verlag, 1987: 710.
[21]	VALLIS G K. Atmospheric and Oceanic Fluid Dynamics[M]. Cambridge: Cambridge University Press, 2006: 745.
[22]	陈利国. 大气和海洋中两类非线性孤立波模型研究[D]. 呼和浩特: 内蒙古大学, 2020. CHEN Liguo. Study on two kinds of nonlinear solitary wave models in atmosphere and ocean[D]. Hohhot: Inner Mongolia University, 2020. (in Chinese))
[23]	KURCZYN J, BEIER E, LAVÍN M, et al. Anatomy and evolution of a cyclonic mesoscale eddy observed in the northeastern Pacific tropical-subtropical transition zone[J]. Journal of Geophysical Research: Oceans, 2013, 118(11): 5931-5950. doi: 10.1002/2013JC20437
[24]	CHEN G, HAN G, YANG X. On the intrinsic shape of oceanic eddies derived from satellite altimetry[J]. Remote Sensing of Environment, 2019, 228: 75-89. doi: 10.1016/j.rse.2019.04.011
[25]	KIZNER Z, BERSON D, REZNIK G, et al. The theory of the beta-plane baroclinic topographic modons[J]. Geophysical & Astrophysical Fluid Dynamics, 2003, 97(3): 175-211.