张彤辉,张洋,潘嵩,李君益

• 1:广东海洋大学海洋与气象学院
• 2:自然资源部海洋环境信息保障技术重点实验室

摘要(Abstract)：

【目的】研究一个表面准地转涡旋在 β 平面上的自由漂移及其驱动的流场、能谱演化。【方法】基于谱方法理想数值模拟，研究分析涡旋罗斯贝数以及 β 效应对流场演化的影响。【结果与结论】与准地转涡旋类似，表面准地转涡旋的漂移速度和其激发的罗斯贝波波速十分接近。漂移过程中不断生成的涡丝使得小尺度波段的能谱趋于 k~(-2 )结构。涡旋非线性和 β 效应可以增强涡旋漂移速度，提高涡丝生成速率。

关键词(KeyWords)： 表面准地转;β平面湍流;谱方法;数值模拟

Abstract:

Keywords:

基金项目(Foundation): 自然资源部海洋环境信息保障技术重点实验室开放基金课题（2019）

作者(Author): 张彤辉,张洋,潘嵩,李君益

参考文献(References)：

• [1] MCWILLIAMS J C. Submesoscale currents in the ocean[J].Proceedings Mathematical, Physical, and Engineering Sciences, 2016, 472(2189):20160117.
• [2] LE TRAON P Y, KLEIN P, HUA B L, et al. Do altimeter wavenumber spectra agree with the interior or surface quasigeostrophic theory?[J]. Journal of Physical Oceanography, 2008, 38(5):1137-1142.
• [3] SCOTT R B, WANG F M. Direct evidence of an oceanic inverse kinetic energy cascade from satellite altimetry[J].Journal of Physical Oceanography, 2005, 35(9):1650-1666.
• [4] HOSKINS B J, MCINTYRE M E, ROBERTSON A W. On the use and significance of isentropic potential vorticity maps[J]. Quarterly Journal of the Royal Meteorological Society, 2007, 111(470):877-946.
• [5] ISERN-FONTANET J, CHAPRON B, LAPEYRE G, et al.Potential use of microwave sea surface temperatures for the estimation of ocean currents[J]. Geophysical Research Letters, 2006, 33(24):L24608.
• [6] LAPEYRE G, KLEIN P. Dynamics of the upper oceanic layers in terms of surface quasigeostrophy theory[J].Journal of Physical Oceanography, 2006, 36(2):165-176.
• [7] QIU B, CHEN S M, KLEIN P, et al. Reconstructing upper-ocean vertical velocity field from sea surface height in the presence of unbalanced motion[J]. Journal of Physical Oceanography, 2020, 50(1):55-79.
• [8] CAPET X, KLEIN P, HUA B L, et al. Surface kinetic energy transfer in surface quasi-geostrophic flows[J].Journal of Fluid Mechanics, 2008, 604:165-174.
• [9] SUKHATME J, SMITH L M. Local and nonlocal dispersive turbulence[J]. Physics of Fluids, 2009, 21(5):1-19.
• [10] RHINES P B. Waves and turbulence on a beta-plane[J].Journal of Fluid Mechanics, 1975, 69(3):417-443.
• [11] ZHANG Z G, ZHANG Y, WANG W, et al. Universal structure of mesoscale eddies in the ocean[J]. Geophysical Research Letters, 2013, 40(14):3677-3681.
• [12] HOU T Y, LI R. Computing nearly singular solutions using pseudo-spectral methods[J]. Journal of Computational Physics, 2007, 226(1):379-397.
• [13] CHELTON D B, SCHLAX M G, SAMELSON R M.Global observations of nonlinear mesoscale eddies[J].Progress in Oceanography, 2011, 91(2):167-216.
• [14] JING Z Y, FOX-KEMPER B, CAO H J, et al.Submesoscale fronts and their dynamical processes associated with symmetric instability in the northwest Pacific subtropical ocean[J]. Journal of Physical Oceanography, 2021, 51(1):83-100.
• [15] MCWILLIAMS J C, FLIERL G R. On the evolution of isolated, nonlinear vortices[J]. Journal of Physical Oceanography, 1979, 9(6):1155-1182.
• [16] NENCIOLI F, DONG C M, DICKEY T, et al. A vector geometry–based eddy detection algorithm and its application to a high-resolution numerical model product and high-frequency radar surface velocities in the southern California bight[J]. Journal of Atmospheric and Oceanic Technology, 2010, 27(3):564-579.
• [17] FU L L. Pattern and velocity of propagation of the global ocean eddy variability[J]. Journal of Geophysical Research Atmospheres, 2009, 114(C11):C11017.
• [18] SHCHERBINA A Y, D'ASARO E A, LEE C M, et al.Statistics of vertical vorticity, divergence, and strain in a developed submesoscale turbulence field[J]. Geophysical Research Letters, 2013, 40(17):4706-4711.
• [19] ROCHA C B, CHERESKIN T K, GILLE S T, et al.Mesoscale to submesoscale wavenumber spectra in drake passage[J]. Journal of Physical Oceanography, 2016,46(2):601-620.
• [20] BOYD J P. The energy spectrum of fronts:time evolution of shocks in Burgers’ equation[J]. Journal of the Atmospheric Sciences. 1992, 49(2):128-139.
• [21] DAVEY M K, KILLWORTH P D. Flows produced by discrete sources of buoyancy[J]. Journal of Physical Oceanography, 1989, 19(9):1279-1290.