Intercomparison of conventional and new methods for estimating eddy kinetic energy

Wenyu Li; Guidi Zhou; Xuhua Cheng

doi:10.1007/s13131-024-2365-0

Volume 42 Issue 12

Dec. 2024

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Wenyu Li, Guidi Zhou, Xuhua Cheng. Intercomparison of conventional and new methods for estimating eddy kinetic energy[J]. Acta Oceanologica Sinica, 2024, 43(12): 1-12. doi: 10.1007/s13131-024-2365-0

Citation:

Wenyu Li, Guidi Zhou, Xuhua Cheng. Intercomparison of conventional and new methods for estimating eddy kinetic energy[J]. Acta Oceanologica Sinica, 2024, 43(12): 1-12. doi: 10.1007/s13131-024-2365-0

Wenyu Li, Guidi Zhou, Xuhua Cheng. Intercomparison of conventional and new methods for estimating eddy kinetic energy[J]. Acta Oceanologica Sinica, 2024, 43(12): 1-12. doi: 10.1007/s13131-024-2365-0

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Intercomparison of conventional and new methods for estimating eddy kinetic energy

doi: 10.1007/s13131-024-2365-0

Wenyu Li¹,
Guidi Zhou^{1, 2
,
,},
Xuhua Cheng¹

1.
College of Oceanography, Hohai University, Nanjing 210098, China
2.
Key Laboratory of Marine Hazards Forecasting of Ministry of Natural Resources, Hohai University, Nanjing 210098, China

Funds: The National Natural Science Foundation of China under contract No. 42276002; the Fund of State Key Laboratory of Tropical Oceanography, South China Sea Institute of Oceanography, Chinese Academy of Sciences under contract No. LTO2201; the Fund of Key Laboratory of Marine Hazards Forecasting, Ministry of Natural Resources, China under contract No. LOMF2201.

More Information

Corresponding author: E-mail: guidi.zhou@hhu.edu.cn
Received Date: 2024-02-29
Accepted Date: 2024-07-09

Available Online: 2024-11-28

Publish Date: 2024-12-01

Abstract

Abstract

We introduce a new method, the piecewise Reynolds mean (PREM), for decomposing the flow velocity into the mean-flow and eddy-flow parts in the time domain for subsequent calculation of the mean flow kinetic energy (MKE) and eddy kinetic energy (EKE). Compared with conventional methods like the Reynolds mean and running mean (RUM), PREM has the advantage of exact balance between the MKE and EKE, without the additional residual kinetic energy (RKE), while retaining time-dependent mean-flow. It is mathematically simple and computationally lightweight, depending on a pre-defined separation scale for the mean-flow and eddies. Based on satellite observations and the separation scale of 1 year, we compare PREM with RUM, as well as another newly proposed method, the eddy detection and extraction (EDEX). The latter is based on objective identification of mesoscale eddies and eddy anomaly extraction algorithms, and is therefore only suitable for mesoscale eddy energetics, but independent of separation scales. It is shown that compared with RUM, PREM gives larger mean EKE and stronger interannual variability. In strong-current and eddy-rich regions, the two methods differ the most (max: Kuroshio Extension, root-mean-sqaure-difference = 60.3 J/m³); but in areas with weak current and eddy, the difference accounts for the largest fraction of total EKE (max: south of the Aleutian Islands, 208%). EKE estimated by the two methods is out of phase (min correlation coefficient = 0.38). The mean EKE and standard deviation from the EDEX method resemble the PREM with 1-year separation scale, but is generally smaller in magnitude.
- mesoscale eddy,
- kinetic energy,
- piecewise Reynolds mean

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References(47)

References

Akuetevi C Q C, Barnier B, Verron J, et al. 2016. Interactions between the Somali Current eddies during the summer monsoon: Insights from a numerical study. Ocean Science, 12(1): 185–205, doi: 10.5194/os-12-185-2016

Beal L M, Donohue K A. 2013. The Great Whirl: Observations of its seasonal development and interannual variability. Journal of Geophysical Research: Oceans, 118(1): 1–13, doi: 10.1029/2012JC008198

Bonaduce A, Cipollone A, Johannessen J A, et al. 2021. Ocean mesoscale variability: a case study on the mediterranean sea from a re-analysis perspective. Frontiers in Earth Science, 9: 724879, doi: 10.3389/feart.2021.724879

Bower A S, Armi L, Ambar I. 1995. Direct evidence of meddy formation off the southwestern coast of Portugal. Deep-Sea Research Part Ⅰ: Oceanographic Research Papers, 42(9): 1621–1630, doi: 10.1016/0967-0637(95)00045-8

Bower A S, Armi L, Ambar I. 1997. Lagrangian observations of meddy formation during a mediterranean undercurrent seeding experiment. Journal of Physical Oceanography, 27(12): 2545–2575, doi: 10.1175/1520-0485(1997)027<2545:LOOMFD>2.0.CO;2

Chen Ru, Flierl G R, Wunsch C. 2014. A description of local and nonlocal eddy–mean flow interaction in a global eddy-permitting state estimate. Journal of Physical Oceanography, 44(9): 2336–2352, doi: 10.1175/JPO-D-14-0009.1

Chen Xiao, Qiu Bu, Chen Shuiming, et al. 2015. Seasonal eddy kinetic energy modulations along the North Equatorial Countercurrent in the western Pacific. Journal of Geophysical Research: Oceans, 120(9): 6351–6362, doi: 10.1002/2015JC011054

Chen Ru, Thompson A F, Flierl G R. 2016. Time-dependent eddy-mean energy diagrams and their application to the ocean. Journal of Physical Oceanography, 46: 2827–2850, doi: 10.1175/JPO-D-16-0012.1

Cheng Yu-Hsin, Ho Chung-Ru, Zheng Quanan, et al. 2014. Statistical characteristics of mesoscale eddies in the North Pacific derived from satellite altimetry. Remote Sensing, 6(6): 5164–5183, doi: 10.3390/rs6065164

Cheng Xuhua, McCreary J P, Qiu Bo, et al. 2018. Dynamics of eddy generation in the central Bay of Bengal. Journal of Geophysical Research: Oceans, 123(9): 6861–6875, doi: 10.1029/2018JC014100

Clarke A J. 1983. The reflection of equatorial waves from oceanic boundaries. Journal of Physical Oceanography, 13(7): 1193–1207, doi: 10.1175/1520-0485(1983)013<1193:TROEWF>2.0.CO;2

Di Lorenzo E, Foreman M G G, Crawford W R. 2005. Modelling the generation of Haida Eddies. Deep-Sea Research Part II: Topical Studies in Oceanography, 52(7–8): 853–873, doi: 10.1016/j.dsr2.2005.02.007

Drillet Y, Bourdallé-Badie R, Siefridt L, et al. 2005. Meddies in the Mercator North Atlantic and Mediterranean Sea eddy-resolving model. Journal of Geophysical Research: Oceans, 110(C3): C03016, doi: 10.1029/2003JC002170

Ducet N, Le Traon P Y, Reverdin G. 2000. Global high-resolution mapping of ocean circulation from TOPEX/Poseidon and ERS-1 and -2. Journal of Geophysical Research: Oceans, 105(C8): 19477–19498, doi: 10.1029/2000JC900063

Faghmous J H, Frenger I, Yao Yuanshun, et al. 2015. A daily global mesoscale ocean eddy dataset from satellite altimetry. Scientific Data, 2: 150028, doi: 10.1038/sdata.2015.28

Fu L L, Qiu Bo. 2002. Low-frequency variability of the North Pacific Ocean: the roles of boundary- and wind-driven baroclinic Rossby waves. Journal of Geophysical Research: Oceans, 107(C12): 13-1–13-10, doi: 10.1029/2001JC001131

Jia Fan, Wu Lixin, Qiu Bo. 2011. Seasonal modulation of eddy kinetic energy and its formation mechanism in the southeast Indian Ocean. Journal of Physical Oceanography, 41(4): 657–665, doi: 10.1175/2010JPO4436.1

Jouanno J, Sheinbaum J, Barnier B, et al. 2012. Seasonal and interannual modulation of the eddy kinetic energy in the Caribbean Sea. Journal of Physical Oceanography, 42(11): 2041–2055, doi: 10.1175/JPO-D-12-048.1

Kang Dujuan, Curchitser E N. 2015. Energetics of eddy–mean flow interactions in the Gulf Stream region. Journal of Physical Oceanography, 45(4): 1103–1120, doi: 10.1175/JPO-D-14-0200.1

Kang Dujuan, Curchitser E N. 2017. On the evaluation of seasonal variability of the ocean kinetic energy. Journal of Physical Oceanography, 47(7): 1675–1683, doi: 10.1175/JPO-D-17-0063.1

Liang X S. 2012. Multiscale window interaction and localized nonlinear hydrodynamic stability analysis. In: Oh H W, ed. Advanced Fluid Dynamics. IntechOpen, 159–182, https://www.intechopen.com/books/1013 [2012–03–09/2024–01–29]

Liang X S. 2016. Canonical transfer and multiscale energetics for primitive and quasigeostrophic atmospheres. Journal of the Atmospheric Sciences, 73(11): 4439–4468, doi: 10.1175/JAS-D-16-0131.1

Liu W T, Xie Xiaosu, Niiler P P. 2007. Ocean–atmosphere interaction over agulhas extension meanders. Journal of Climate, 20(23): 5784–5797, doi: 10.1175/2007JCLI1732.1

Paillet J, Le Cann B, Carton X, et al. 2002. Dynamics and evolution of a northern meddy. Journal of Physical Oceanography, 32(1): 55–79, doi: 10.1175/1520-0485(2002)032<0055:DAEOAN>2.0.CO;2

Penduff T, Barnier B, Dewar W K, et al. 2004. Dynamical response of the oceanic eddy field to the North Atlantic Oscillation: a model–data comparison. Journal of Physical Oceanography, 34(12): 2615–2629, doi: 10.1175/JPO2618.1

Pope S B. 2000. Turbulent Flows. New York, NY, USA: Cambridge University Press

Qiu Bo, Chen Shuiming. 2010. Eddy-mean flow interaction in the decadally modulating Kuroshio Extension system. Deep-Sea Research Part Ⅱ: Topical Studies in Oceanography, 57(13/14): 1098–1110, doi: 10.1016/j.dsr2.2008.11.036

Qiu Bo, Chen Shuiming, Schneider N, et al. 2014. A coupled decadal prediction of the dynamic state of the Kuroshio Extension system. Journal of Climate, 27(4): 1751–1764, doi: 10.1175/JCLI-D-13-00318.1

Reynolds O. 1895. On the dynamical theory of incompressible viscous fluids and the determination of the criterion. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Gineering sciences, 186: 123–164, doi: 10.1098/rsta.1895.0004

Rogachev K A, Shlyk N V. 2018. The role of the aleutian eddies in the Kamchatka Current warming. Russian Meteorology and Hydrology, 43(1): 43–48, doi: 10.3103/S1068373918010065

Rogachev K A, Shlyk N V. 2019. Characteristics of the Kamchatka Current eddies. Russian Meteorology and Hydrology, 44(6): 416–423, doi: 10.3103/S1068373919060062

Rogachev K, Shlyk N, Carmack E. 2007. The shedding of mesoscale anticyclonic eddies from the Alaskan Stream and westward transport of warm water. Deep-Sea Research Part Ⅱ: Topical Studies in Oceanography, 54(23–26): 2643–2656, doi: 10.1016/j.dsr2.2007.08.017

Saito R, Yamaguchi A, Yasuda I, et al. 2014. Influences of mesoscale anticyclonic eddies on the zooplankton community south of the western Aleutian Islands during the summer of 2010. Journal of Plankton Research, 36(1): 117–128, doi: 10.1093/plankt/fbt087

Seo H. 2017. Distinct influence of air-sea interactions mediated by mesoscale sea surface temperature and surface current in the Arabian Sea. Journal of Climate, 30(20): 8061–8080, doi: 10.1175/JCLI-D-16-0834.1

Serra N, Ambar I. 2002. Eddy generation in the Mediterranean undercurrent. Deep-Sea Research Part Ⅱ: Topical Studies in Oceanography, 49(19): 4225–4243, doi: 10.1016/S0967-0645(02)00152-2

Serra N, Ambar I, Käse R H. 2005. Observations and numerical modelling of the Mediterranean outflow splitting and eddy generation. Deep-Sea Research Part Ⅱ: Topical Studies in Oceanography, 52(3/4): 383–408, doi: 10.1016/j.dsr2.2004.05.025

Trott C B, Subrahmanyam B, Murty V S N. 2017. Variability of the Somali Current and eddies during the southwest monsoon regimes. Dynamics of Atmospheres and Oceans, 79: 43–55, doi: 10.1016/j.dynatmoce.2017.07.002

von Storch J S, Eden C, Fast I, et al. 2012. An estimate of the Lorenz energy cycle for the World Ocean based on the 1/10° STORM/NCEP simulation. Journal of Physical Oceanography, 42(12): 2185–2205, doi: 10.1175/JPO-D-12-079.1

Wang Lei, Yu Jinyi. 2018. A recent shift in the monsoon centers associated with the tropospheric biennial oscillation. Journal of Climate, 31(1): 325–340, doi: 10.1175/JCLI-D-17-0349.1

Wang Sen, Zhu Weijun, Ma Jing, et al. 2019. Variability of the Great Whirl and its impacts on atmospheric processes. Remote Sensing, 11(3): 322, doi: 10.3390/rs11030322

Yang Yang, Liang X S. 2016. The instabilities and multiscale energetics underlying the mean–interannual–eddy interactions in the Kuroshio Extension region. Journal of Physical Oceanography, 46(5): 1477–1494, doi: 10.1175/JPO-D-15-0226.1

Yang Yang, Liang X S. 2019. Spatiotemporal variability of the global ocean internal processes inferred from satellite observations. Journal of Physical Oceanography, 49(8): 2147–2164, doi: 10.1175/JPO-D-18-0273.1

Zenk W, Schultz Tokos K, Boebel O. 1992. New observations of meddy movement south of the Tejo Plateau. Geophysical Research Letters, 19(24): 2389–2392, doi: 10.1029/92GL02139

Zhou Guidi, Cheng Xuhua. 2021. On the errors of estimating oceanic eddy kinetic energy. Journal of Geophysical Research: Oceans, 126(2): e2020JC016449, doi: 10.1029/2020JC016449

Zhou Guidi, Cheng Xuhua. 2022. Impacts of oceanic fronts and eddies in the Kuroshio-Oyashio Extension region on the atmospheric general circulation and storm track. Advances in Atmospheric Sciences, 39(1): 22–54, doi: 10.1007/s00376-021-0408-4

Zhou Guidi, Li Zhuhua, Cheng Xuhua. 2021a. Intrinsic and wind-driven decadal variability of the Kuroshio Extension in altimeter observations. Frontiers in Marine Science, 8: 766226, doi: 10.3389/fmars.2021.766226

Zhou Jiang, Zhou Guidi, Liu Hailong, et al. 2021b. Mesoscale eddy-induced ocean dynamic and thermodynamic anomalies in the North Pacific. Frontiers in Marine Science, 8: 756918, doi: 10.3389/fmars.2021.756918

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