Redistribution of Energy during Horizontal Stretching of Ocean Vortices by Barotropic Currents

V. V. Zhmur; Жмур В. В.; D. A. Harutyunyan; Арутюнян Д. А.

doi:10.31857/S0030157423010185

Redistribution of Energy during Horizontal Stretching of Ocean Vortices by Barotropic Currents

Autores: Zhmur V.V.¹, Harutyunyan D.A.²
Afiliações:
1. P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences
2. Moscow Institute of Physics and Technology (State University)
Edição: Volume 63, Nº 1 (2023)
Páginas: 3-19
Seção: Физика моря
URL: https://journal-vniispk.ru/0030-1574/article/view/136219
DOI: https://doi.org/10.31857/S0030157423010185
EDN: https://elibrary.ru/AFRQHI
ID: 136219

Citar

Texto integral

Acesso aberto
Acesso é fechado

Acesso está concedido
Acesso é fechado

Somente assinantes

Resumo
Sobre autores
Bibliografia
Arquivos suplementares
Estatísticas

Resumo

The paper proposes a study of the transformation of the physical properties of mesoscale vortices during their strong elongation by horizontal barotropic currents. It is shown that when the core is pulled out, the kinetic and available potential energies of the vortex individually, as well as their sum (the total mechanical energy of the vortex) decreases, and the vortex itself degrades in all physical parameters. The decrease in the energy of the ensemble of vortices when they are pulled out by the background flow is interpreted as a manifestation of the reverse energy cascade property or, in older terminology, the phenomenon of negative viscosity.

Palavras-chave

geostrophy, ageostrophy, quasi-geostrophic approximation, mesoscale and submesoscale vortex formations (vortex filaments, filaments), vortex core, core energy, available potential energy, Rossby number, inverse energy cascade

Sobre autores

V. Zhmur

P.P. Shirshov Institute of Oceanology, Russian Academy of Sciences

Autor responsável pela correspondência
Email: zhmur-vladimir@mail.ru
Russia, Moscow

D. Harutyunyan

Moscow Institute of Physics and Technology (State University)

Email: zhmur-vladimir@mail.ru
Russia, Moscow

Bibliografia

Голицын Г.С. Вероятностные структуры макромира: землетрясения, ураганы, наводнения. М.: Физматлит, 2021. 176 с.
Жмур В.В. Мезомасштабные вихри океана. М.: ГЕОС, 2011. 384 с.
Жмур В.В., Новоселова Е.В., Белоненко Т.В. Потенциальная завихренность в океане: подходы Эртеля и Россби с оценками для Лофотенского вихря // Известия РАН. Физика атмосферы и океана. 2021. Т. 57. № 6. С. 721–732.
Жмур В.В., Панкратов К.К. Динамика эллипсоидального приповерхностного вихря в неоднородном потоке // Океанология. 1989. Т. 29. № 2. С. 205–211.
Жмур В.В., Панкратов К.К. Дальнее взаимодействие ансамбля квазигеострофичнских эллипсоидальных вихрей. Гамильтонова формулировка // Изв. АН СССР. Физика атмосферы и океана. 1990. Т. 26. № 9. С. 972–981.
Жмур В.В., Щепеткин А.Ф. Эволюция эллипсоидального вихря в стратифицированном океане в приближении f-плоскости // Изв. АН СССР. Физика атмосферы и океана. 1991. Т. 27. № 5. С. 492–503.
Зацепин А.Г., Баранов В.И., Кондрашов А.А. и др. Субмезомасштабные вихри на кавказском шельфе Черного моря и порождающие их механизмы // Океанология. 2011. Т. 51. № 4. С. 592–605.
Ларичев В.Д., Резник Г.М. Сильнонелинейный двумерный солитон волн Россби // Океанология. 1976. Т. 16. № 6. С. 961–967.
Bower A.S., Hendry R.M., Amrhein D.E., Lilly J.M. Direct observations of formation and propagation of subpolar eddies into the Subtropical North Atlantic // Deep-Sea Research II. 2013. V. 85. P. 15–41. https://doi.org/10.1016/j.dsr2.2012.07.029
Brannigan L. Intense submesoscale upwelling in anticyclonic eddies // Geophys. Res. Lett. 2016. V. 43. № 7. P. 3360–3369. https://doi.org/10.1002/2016GLO67926
Brannigan L., Marshall D.P., Naveira-Garabato A. et al. Submesoscale instabilities in mesoscale eddies // Journal of Physical Oceanography. 2017. V. 47. № 12. P. 3061–3085. https://doi.org/10.1175/JPO-D-16-0178.1
Capet X., McWilliams J.C., Molemaker M.J., Shchepetkin A.F. Mesoscale to submesoscale. Transition in the California current system. Part I: flow structure, eddy flux, and observational tests // Journal of Physical Oceanography. 2008. V. 38. № 1. P. 29–43. https://doi.org/10.1175/2007JPO3671.1
Capet X., McWilliams J.C., Molemaker M.J., Shchepetkin A.F. Mesoscale to submesoscale transition in the California current system. Part II: frontal processes // Journal of Physical Oceanography. 2008. V. 38. № 1. P. 44–46. https://doi.org/10.1175/2007JPO3672.1
Capet X., McWilliams J.C., Molemaker M.J., Shchepetkin A.F. Mesoscale to submesoscale transition in the California current system. Part III: energy and balance flux // Journal of Physical Oceanography. 2008. V. 38. № 10. P. 2256–2269. https://doi.org/10.1175/2008JPO3810.1
de Marez C., Carton X., Corréard S. et al. Observations of a deep submesoscale cyclonic vortex in the Arabian Sea // Geophys. Res. Lett. 2020. V. 47. № 13, e2020GL087881 (10 p.). https://doi.org/10.1029/2020GL087881
Ertel H. Ein neuer hydrodynamischer Erhaltungssatz. Die Naturwissenschaften. 1942. V. 36. P. 543–544.
Ertel H. Über hydrodynamischer Wirbelsätze. Physikalische Zeitschrift Leipzig. 1942. V. 43. P. 526–529.
Ertel H. Ein neuer hydrodynamischer Wirbelsatz. Meteorologische Zeitschrift. 1942. V. 59. P. 277–281.
Gula J., Blacic T.M., Todd R.E. Submesoscale coherent vortices in the Gulf Stream // Geophys. Res. Lett. 2019. V. 46. № 5. P. 2704–2714. https://doi.org/10.1029/2019GL081919
Klein P., Lapeyre G. The oceanic vertical pump induced by mesoscale and submesoscale turbulence // Annu. Rev. Mar. Sci. 2009. V. 1. № 1. P. 351–357. https://doi.org/10.1146/annurev.marine.010908.163704
Koshel K.V., Ryzhov E.A., Zhmur V.V. Ellipsoidal vortex in a nonuniform flow: dynamics and chaotic advections // J. Mar. Res. 2011. V. 69. № 2–3. P. 435–461.
Koshel K.V., Ryzhov E.A., Zhmur V.V. Diffusion – effected passive scalar transport in an ellipsoidal vortex in a shear flow // Nonlinear Processes in Geophysics. 2013. V. 20. P. 437–444. https://doi.org/10.5194/npg-20-437-2013
Koshel K.V., Ryzhov E.A., Zhmur V.V. Effect of the vertical component of diffusion on passive scalar transport in an isolated vortex model // Phys. Rev. 2015. V. 92. № 5. 053021. https://doi.org/10.1103/PhysRevE.92.053021
Mahadevan A.,Tandon A. An analysis of mechanisms for submesocale vertical motion at fronts // Ocean Modelling. 2006. V. 14. № 3. P. 241–256. https://doi.org/10.1016/j.ocemod.2006.05.006
McKiver W.J. Balanced ellipsoidal vortex at finite Rossby number // Geophysical and Astrophysical Fluid Dynamics. 2020. V. 114. № 4-5. P. 1–26. https://doi.org/10.1080/03091929.2020.1755671
Meacham S.P. Quasigeostrophic, ellipsoidal vortices in a stratified fluid // Dynamics of Atmospheres and Oceans. 1992. V. 16. № 3–4, P. 189–223.
Meacham S.P., Pankratov K.K., Shchepetkin A.F., Zhmur V.V. The interaction of ellipsoidal vortices with background shear flows in a stratified fluid // Dynamics of Atmospheres and Oceans. 1994. V. 21. № 2–3. P. 167–212. https://doi.org/10.1016/0377-0265(94)90008-6
Pankratov K.K., Zhmur V.V. A dynamics of desingularized quasigeostrophic vortices // Phys. Fluids A. 1991. V. 3. P. 1464.
Roullet G., Klein P. Cyclone-anticyclone asymmetry in geophysical turbulence // Phys. Rev. 2010. V. 104. № 21. 218501. https://doi.org/10.1103/PhysRevLett.104.218501
Zhmur V.V., Novoselova E.V., Belonenko T.V. Peculiarities of Formation the of Density Field in Mesoscale Eddies of the Lofoten Basin: Part 1 // Oceanology. 2021. V. 61. № 6. P. 830–838.