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Chin. Phys. B, 2021, Vol. 30(12): 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 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
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.
Keywords:  mesoscale eddy      numerical differentiation      Tikhonov regularization      variational optimization analysis  
Received:  20 July 2021      Revised:  15 September 2021      Accepted manuscript online:  24 September 2021
PACS:  02.60.Jh (Numerical differentiation and integration)  
  02.60.Cb (Numerical simulation; solution of equations)  
  02.30.Xx (Calculus of variations)  
  92.10.ak (Eddies and mesoscale processes)  
Fund: Project sported by the National Natural Science Foundation of China (Grant Nos. 41875045 and 61371119) and the Blue Project of Jiangsu Province, China.
Corresponding Authors:  Si-Xun Huang     E-mail:  huangsxp@163.com

Cite this article: 

Chao Yan(颜超), Jing Feng(冯径), Ping-Lv Yang(杨平吕), and Si-Xun Huang(黄思训) A new algorithm for reconstructing the three-dimensional flow field of the oceanic mesoscale eddy 2021 Chin. Phys. B 30 120204

[1] Huang R Q, Xie L L, Zheng Q N, et al. 2020 Acta Oceanologica Sinica 39 91
[2] Cheng Z, Zhou M, Zhong Y, et al. 2020 Acta Oceanologica Sinica 39 36
[3] Lu M Z, Hou Z M and Zhou Y 2004 Dynamic Meteorology (Beijing:China Meteorological Press) p. 48
[4] Zeng Z Y 1997 Meteorological Data. Assimilation (Taipei:Bo Hai Hall Press) p. 68
[5] Sasaki Y K 1969 Meteor. Soc Jpn. 47 115
[6] Huang S X, Teng J J, Lan W R and Xiang J 2005 Chinese Journal of Theoretical and Applied Mechanics 37 399 (in Chinese)
[7] Wang Y B 2005 Numerical Differentiation and Its Application (Ph. D. Dissertation) (Shanghai:Fudan University) (in Chinese)
[8] Wang, Y B, Jia X Z and Cheng J 2002 Inverse Problems 18 1461
[9] Cai Q F, Huang S X, Gao S T, Zhong K and Li Z Q 2008 Acta Phys. Sin. 57 3912 (in Chinese)
[10] Wang, Y G, Cai Q F and Huang S X 2010 Acta Phys. Sin. 59 4359 (in Chinese)
[11] Wang Y B and Ting W 2005 J. Math. Anal. Appl. 312 121
[12] Wang Y B, Hon Y C and Cheng J 2006 J. Inv. Ill-Posed Prob. 14 205
[13] Hanke M and Scherzer O 2001 Amer Math Monthly 108 512
[14] Yang S, Xing J, Sheng J, et al. 2020 Ocean Dynamics 70 879
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