Volume 39 Issue 7
Jul.  2020
Turn off MathJax
Article Contents
Heqing Yin, Haijin Dai, Weimin Zhang, Xueyan Zhang, Pinqiang Wang. Demonstration of the refined three-dimensional structure of mesoscale eddies and computational error estimates via Lagrangian analysis[J]. Acta Oceanologica Sinica, 2020, 39(7): 146-164. doi: 10.1007/s13131-020-1619-8
Citation: Heqing Yin, Haijin Dai, Weimin Zhang, Xueyan Zhang, Pinqiang Wang. Demonstration of the refined three-dimensional structure of mesoscale eddies and computational error estimates via Lagrangian analysis[J]. Acta Oceanologica Sinica, 2020, 39(7): 146-164. doi: 10.1007/s13131-020-1619-8

Demonstration of the refined three-dimensional structure of mesoscale eddies and computational error estimates via Lagrangian analysis

doi: 10.1007/s13131-020-1619-8
Funds:  The National Key R &D Program of China under contract Nos 2018YFC1406202 and 2018YFC1406206; the National University of Defense Technology under contract No. ZK18-03-29.
More Information
  • Corresponding author: E-mail: hj_dai@nudt.edu.cn
  • Received Date: 2019-06-28
  • Accepted Date: 2019-09-11
  • Available Online: 2020-12-28
  • Publish Date: 2020-07-25
  • In previous studies, Lagrangian analyses were used to assess large-scale ocean circulation, and the Lagrangian coherent structure could also reveal the evolution of the two-dimensional structure of the mesoscale eddies. However, few studies have demonstrated the three-dimensional structure of the mesoscale eddies via Lagrangian analysis. Compared with previous studies, which investigated the eddy structure via a Eulerian view, we used a Lagrangian view to provide a different perspective to study the eddy structure. An idealized cyclonic mesoscale eddy is built up over a seamount, and it presents downwelling inside the eddy and upwelling alongside the eddy formed within a closed circulation system. This structure is difficult to display via a Eulerian analysis. However, the trajectories of particles can well demonstrate the full cycle: the fluid sank and rotated inside the eddies, converged to the upwelling zone of the bottom layer and returned to the surface through upwelling. We also applied a Lagrangian analysis to a realistic simulation. As a significant phenomenon in the South China Sea, the dipole structure of the anticyclonic eddy (AE)/cyclonic eddy (CE) pair off of central Vietnam has been well studied but mainly at the sea surface. With a Lagrangian analysis, we illustrate the three-dimensional structure of the eddy pair: the fluid sank (rose) and rotated inside the AE (CE). More importantly, the trajectories of the particles suggested that there was no fluid exchange between the two eddies since the strong boundary jet separates them from each other. All the conclusions above have been verified and are supported by the computational error estimate. With a selected time step and integral period, the computational errors always present small values, although they increase with strong divergent and vertical diffusive flow.
  • loading
  • [1]
    Adams K A, Hosegood P, Taylor J R, et al. 2017. Frontal circulation and submesoscale variability during the formation of a southern ocean mesoscale eddy. Journal of Physical Oceanography, 47(7): 1737–1753. doi: 10.1175/JPO-D-16-0266.1
    [2]
    Chu Xiaoqing, Xue Huijie, Qi Yiquan, et al. 2014. An exceptional anticyclonic eddy in the South China Sea in 2010. Journal of Geophysical Research: Oceans, 119(2): 881–896. doi: 10.1002/2013JC009314
    [3]
    Dai Haijin, Cui Jian, Yu Jingping. 2017. Revisiting mesoscale eddy genesis mechanism of nonlinear advection in a marginal ice zone. Acta Oceanologica Sinica, 36(11): 14–20. doi: 10.1007/s13131-017-1134-8
    [4]
    Dong Changming, Lin Xiayan, Liu Yu, et al. 2012. Three-dimensional oceanic eddy analysis in the Southern California Bight from a numerical product. Journal of Geophysical Research: Oceans, 117(C7): C00H14
    [5]
    Döös K, Nycander J, Coward A C. 2008. Lagrangian decomposition of the Deacon Cell. Journal of Geophysical Research: Oceans, 113(C7): C07028
    [6]
    Fang Wendong, Fang Guohong, Shi Ping, et al. 2002. Seasonal structures of upper layer circulation in the southern South China Sea from in situ observations. Journal of Geophysical Research: Oceans, 107(C11): 3202
    [7]
    Gula J, Molemaker M J, McWilliams J C. 2015. Topographic vorticity generation, submesoscale instability and vortex street formation in the Gulf Stream. Geophysical Research Letters, 42(10): 4054–4062. doi: 10.1002/2015GL063731
    [8]
    Gula J, Molemaker M J, McWilliams J C. 2016. Topographic generation of submesoscale centrifugal instability and energy dissipation. Nature Communications, 7: 12811. doi: 10.1038/ncomms12811
    [9]
    Häkkinen S. 1986. Coupled ice-ocean dynamics in the marginal ice zones: Upwelling/downwelling and eddy generation. Journal of Geophysical Research: Oceans, 91(C1): 819–832. doi: 10.1029/JC091iC01p00819
    [10]
    Johannessen J A, Johannessen O M, Svendsen E, et al. 1987. Mesoscale eddies in the Fram Strait marginal ice zone during the 1983 and 1984 Marginal Ice Zone Experiments. Journal of Geophysical Research: Oceans, 92(C7): 6754–6772. doi: 10.1029/JC092iC07p06754
    [11]
    Kjellsson J, Döös K. 2012. Lagrangian decomposition of the Hadley and Ferrel cells. Geophysical Research Letters, 39(15): L15807
    [12]
    Kuo N J, Zheng Quanan, Ho C R. 2000. Satellite observation of upwelling along the western coast of the South China Sea. Remote Sensing of Environment, 74(3): 463–470. doi: 10.1016/S0034-4257(00)00138-3
    [13]
    Lemariè F, Kurian J, Shchepetkin A F, et al. 2012. Are there inescapable issues prohibiting the use of terrain-following coordinates in climate models?. Ocean Modelling, 42: 57–79. doi: 10.1016/j.ocemod.2011.11.007
    [14]
    Lin Xiayan, Dong Changming, Chen Dake. 2018. Cross-basin particle transport by a warm eddy southwest of Taiwan Island. Journal of Tropical Oceanography (in Chinese), 37(3): 9–18
    [15]
    Liu A K, Häkkinen S, Peng C Y. 1993. Wave effects on ocean-ice interaction in the marginal ice zone. Journal of Geophysical Research: Oceans, 98(C6): 10025–10036. doi: 10.1029/93JC00653
    [16]
    Manucharyan G E, Timmermans M L. 2013. Generation and separation of mesoscale eddies from surface ocean fronts. Journal of Physical Oceanography, 43(12): 2545–2562. doi: 10.1175/JPO-D-13-094.1
    [17]
    Manucharyan G E, Thompson A F. 2017. Submesoscale sea ice-ocean interactions in Marginal Ice Zones. Journal of Geophysical Research: Oceans, 122(12): 9455–9475. doi: 10.1002/2017JC012895
    [18]
    McWilliams J C. 2016. Submesoscale currents in the ocean. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2189): 20160117. doi: 10.1098/rspa.2016.0117
    [19]
    Moore A M, Arango H G, Broquet G, et al. 2011. The Regional Ocean Modeling System (ROMS) 4-dimensional variational data assimilation systems: Part Ⅲ-Observation impact and observation sensitivity in the California Current System. Progress in Oceanography, 91(1): 74–94. doi: 10.1016/j.pocean.2011.05.005
    [20]
    Nakamura T, Matthews J P, Awaji T, et al. 2012. Submesoscale eddies near the Kuril Straits: Asymmetric generation of clockwise and counterclockwise eddies by barotropic tidal flow. Journal of Geophysical Research: Oceans, 117(C12): C12014
    [21]
    Nencioli Francesco, Dong Changming, Dickey Tommy, et al. 2010. 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. Journal of Atmospheric and Oceanic Technology, 27(3): 564–579. doi: 10.1175/2009JTECHO725.1
    [22]
    Okubo A. 1970. Horizontal dispersion of floatable particles in the vicinity of velocity singularities such as convergences. Deep Sea Research and Oceanographic Abstracts, 17(3): 445–454. doi: 10.1016/0011-7471(70)90059-8
    [23]
    Shchepetkin A F, McWilliams J C. 2005. The Regional Oceanic Modeling System (ROMS): A split-explicit, free-surface, topography-following-coordinate oceanic model. Ocean Modelling, 9(4): 347–404. doi: 10.1016/j.ocemod.2004.08.002
    [24]
    Torres T S, Klein P, Menemenlis D, et al. 2018. Partitioning ocean motions into balanced motions and internal gravity waves: a modeling study in anticipation of future Space missions. Journal of Geophysical Research: Oceans, 123(11): 8084–8105. doi: 10.1029/2018JC014438
    [25]
    van Sebille E, Griffies S M, Abernathey R, et al. 2018. Lagrangian ocean analysis: Fundamentals and practices. Ocean Modelling, 121: 49–75. doi: 10.1016/j.ocemod.2017.11.008
    [26]
    Wang Guihua, Chen Dake, Su Jilan. 2006. Generation and life cycle of the dipole in the South China Sea summer circulation. Journal of Geophysical Research: Oceans, 111(C6): C06002
    [27]
    Weiss J. 1991. The dynamics of enstrophy transfer in two-dimensional hydrodynamics. Physica D: Nonlinear Phenomena, 48(2–3): 273–294. doi: 10.1016/0167-2789(91)90088-Q
    [28]
    Xie Shangping, Xie Qiang, Wang Dongxiao, et al. 2003. Summer upwelling in the South China Sea and its role in regional climate variations. Journal of Geophysical Research: Oceans, 108(C8): 3261. doi: 10.1029/2003JC001867
    [29]
    Zhang Xueyan, Dai Haijin, Zhao Jun, et al. 2019. Generation mechanism of an observed submesoscale eddy in the Chukchi Sea. Deep Sea Research Part I: Oceanographic Research Papers, 148: 80–87. doi: 10.1016/j.dsr.2019.04.015
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(18)  / Tables(2)

    Article Metrics

    Article views (222) PDF downloads(8) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return