中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120204-120204.doi: 10.1088/1674-1056/ac29af

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A new algorithm for reconstructing the three-dimensional flow field of the oceanic mesoscale eddy

Chao Yan(颜超)1,3, Jing Feng(冯径)1, Ping-Lv Yang(杨平吕)1, and Si-Xun Huang(黄思训)1,2,†   

  1. 1 Institute of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China;
    2 State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China;
    3 Basic Department, Nanjing Tech University, Pujiang Institute, Nanjing 211112, China
  • 收稿日期:2021-07-20 修回日期:2021-09-15 接受日期:2021-09-24 出版日期:2021-11-15 发布日期:2021-11-30
  • 通讯作者: Si-Xun Huang E-mail:huangsxp@163.com
  • 基金资助:
    Project sported by the National Natural Science Foundation of China (Grant Nos. 41875045 and 61371119) and the Blue Project of Jiangsu Province, China.

A new algorithm for reconstructing the three-dimensional flow field of the oceanic mesoscale eddy

Chao Yan(颜超)1,3, Jing Feng(冯径)1, Ping-Lv Yang(杨平吕)1, and Si-Xun Huang(黄思训)1,2,†   

  1. 1 Institute of Meteorology and Oceanography, National University of Defense Technology, Changsha 410073, China;
    2 State Key Laboratory of Satellite Ocean Environment Dynamics, Second Institute of Oceanography, State Oceanic Administration, Hangzhou 310012, China;
    3 Basic Department, Nanjing Tech University, Pujiang Institute, Nanjing 211112, China
  • Received:2021-07-20 Revised:2021-09-15 Accepted:2021-09-24 Online:2021-11-15 Published:2021-11-30
  • Contact: Si-Xun Huang E-mail:huangsxp@163.com
  • Supported by:
    Project sported by the National Natural Science Foundation of China (Grant Nos. 41875045 and 61371119) and the Blue Project of Jiangsu Province, China.

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摘要： A new algorithm for reconstructing the three-dimensional flow field of the oceanic mesoscale eddies is proposed in this paper, based on variational method. Firstly, with the numerical differentiation Tikhonov regularizer, we reconstruct the continuous horizontal flow field on discrete grid points at each layer in the oceanic region, in terms of the horizontal flow field observations. Secondly, benefitting from the variational optimization analysis and its improvement, we reconstruct a three-dimensional flow field under the constraint of the horizontal flow and the vertical flow. The results of simulation experiments validate that the relative error of the new algorithm is lower than that of the finite difference method in the case of high grid resolution, which still holds in the case of unknown observational errors or in the absence of vertical velocity boundary conditions. Finally, using the reanalysis horizontal data sourcing from SODA and the proposed algorithm, we reconstruct three-dimensional flow field structure for the real oceanic mesoscale eddy.

关键词: mesoscale eddy, numerical differentiation, Tikhonov regularization, variational optimization analysis

Abstract: A new algorithm for reconstructing the three-dimensional flow field of the oceanic mesoscale eddies is proposed in this paper, based on variational method. Firstly, with the numerical differentiation Tikhonov regularizer, we reconstruct the continuous horizontal flow field on discrete grid points at each layer in the oceanic region, in terms of the horizontal flow field observations. Secondly, benefitting from the variational optimization analysis and its improvement, we reconstruct a three-dimensional flow field under the constraint of the horizontal flow and the vertical flow. The results of simulation experiments validate that the relative error of the new algorithm is lower than that of the finite difference method in the case of high grid resolution, which still holds in the case of unknown observational errors or in the absence of vertical velocity boundary conditions. Finally, using the reanalysis horizontal data sourcing from SODA and the proposed algorithm, we reconstruct three-dimensional flow field structure for the real oceanic mesoscale eddy.

Key words: mesoscale eddy, numerical differentiation, Tikhonov regularization, variational optimization analysis

中图分类号:  (Numerical differentiation and integration)

  • 02.60.Jh
02.60.Cb (Numerical simulation; solution of equations) 02.30.Xx (Calculus of variations) 92.10.ak (Eddies and mesoscale processes)