XXI-й век: Смена парадигмы в теории планетарного пограничного слоя

Памяти выдающегося учёного Сергея Сергеевича Зилитинкевича

В начале XXI века Сергей Сергеевич Зилитинкевич выступил инициатором смены фундаментальной парадигмы в теории планетарного пограничного слоя, и шире, в статистической гидромеханике стратифицированных турбулентных течений. Руководя знаменитой кафедрой метеорологии в Университете Уппсалы, Швеция (1998–2003), ему и его сотрудникам удалось органически ввести понятия потенциальной и полной энергии турбулентности и пересмотреть основополагающие представления о турбулентном обмене в стратифицированных течениях. Продолжив работать как профессор-эмеритус в Университете Хельсинки, Финляндия (2004–2021), и привлекая престижные мегагранты в России и Европейском Союзе, он, по сути, создал и возглавил виртуальный международный научно-исследовательский институт — третий институт в своей научной карьере — для проработки теоретических основ и практических приложений, которые вытекали из новой парадигмы энергетики турбулентности. Объединённые им ученые и практики продолжают развивать научное наследие Зилитинкевича в рамках Пан-Евразийского Эксперимента.

1. Кун Т. Структура научных революций. М.: Изд. АСТ, 2003. 605 с.

2. Зилитинкевич С.С. Самоорганизация и нелокальная природа геофизической турбулентности и планетарных пограничных слоев // Геофизический журнал. 2010. Т. 32. С. 169–174.

3. Zilitinkevich S., Kadantsev E., Repina I., Mortikov E., Glazunov A. Order out of chaos: Shifting paradigm of convective turbulence // J. Atmos. Sci. 2021. P. 3925–3932. doi: 10.1175/jas-d-21-0013.1

4. Broad C.D. The mind and its place in nature. London: Routledge & Kegan Paul, 1925. 256 с.

5. Пригожин И. Философия нестабильности // Вопросы философии. 1991. Т. 6. С. 46–57.

6. Монин А.С., Яглом А.М. Статистическая гидромеханика. М.: Наука, главная редакция физико-математической литературы, 1965. 640 с.

7. Foken T. 50 years of the Monin-Obukhov similarity theory // Boundary-Layer Meteorol. 2006. Vol. 119. P. 431–447. doi: 10.1007/s10546-006-9048-6

8. Monin A.S., Zilitinkevich S.S. Similarity theory and resistance laws for the planetary boundary layer // Boundary-Layer Meteorol. 1974. Vol. 7. P. 391–397. doi: 10.1007/BF00240840

9. Zilitinkevich S.S., Esau I. Resistance and heat-transfer laws for stable and neutral planetary boundary layers: Old theory advanced and re-evaluated // Q. J.R. Meteorol. Soc. 2005. Vol. 131. doi: 10.1256/qj.04.143

10. Kadantsev E., Mortikov E., Zilitinkevich S. The resistance law for stably stratified atmospheric planetary boundary layer // Quart. J. Roy. Met. Soc. 2020. doi: 10.1002/qj.4019

11. L’vov V.S., Pomyalov A., Procaccia I., Zilitinkevich S.S. Phenomenology of wall bounded Newtonian turbulence // Phys. Rev., E. 2006. Vol. 73. 016303. P. 1–13.

12. Shakura N.I., Sunyaev R.A., Zilitinkevich S.S. On the turbulent energy transport in accretion discs // Astronomy and Astrophysics. 1978. Vol. 62. 1–2. P. 179–187.

13. Zilitinkevich S.S. Heat transport by the meridional circulation cell and static stability of the atmosphere on a slowly rotating planet // Kosmicheskije Issledovanija. 1989. Vol. 27, No 6. P. 932–942.

14. Hunt J.C.R., Carlotti P. Statistical structure at the wall of the high Reynolds number turbulent boundary layer // Flow, Turbul. Combust. 2001. Vol. 66. P. 453–475. doi: 10.1023/A:1013519021030

15. Högström U., Hunt J.C.R., Smedman A.S. Theory and measurements for turbulence spectra and variances in the atmospheric neutral surface layer // Boundary-Layer Meteorol. 2002. Vol. 103. P. 101–124. doi: 10.1023/A:1014579828712

16. McNaughton K.G., Brunet Y. Townsend’s hypothesis, coherent structures and Monin-Obukhov similarity // Boundary-Layer Meteorol. 2002. Vol. 102. P. 161–175. doi: 10.1023/A:1013171312407

17. Van de Boer A., Moene A.F., Graf A., Schüttemeyer D., Simmer C. Detection of entrainment influences on surface-layer measurements and extension of Monin-Obukhov similarity theory // Boundary-Layer Meteorol. 2014. Vol. 152. P. 19– 44. doi: 10.1007/s10546-014-9920-8

18. Zilitinkevich S.S., Hunt J.C.R., Esau I., Grachev A.A., Lalas D.P., Akylas E., Tombrou M., Fairall C.W., Fernando H.J.S., Baklanov A.A., Joffre S.M. The influence of large convective eddies on the surface-layer turbulence // Q. J.R. Meteorol. Soc. 2006. Vol. 132. P. 1423–1456. doi: 10.1256/qj.05.79

19. Schmidt H., Schumann U. Coherent structure of the convective boundary layer derived from large-eddy simulations // J. Fluid Mech. 1989. Vol. 200. P. 511–562. doi: 10.1017/S0022112089000753

20. Hellsten A., Zilitinkevich S. Role of convective structures and background turbulence in the dry convective boundary layer // Boundary-Layer Meteorol. 2013. Vol. 149. P. 323–353. doi: 10.1007/s10546-013-9854-6

21. Zilitinkevich S.S., Chalikov D.V. Determination of universal wind and temperature profiles in the atmospheric surface layer // Izvestija AN SSSR — Atmos. Ocean Phys. 1968. Vol. 4, No 3. P. 294–302.

22. Businger J.A., Wyngaard J.C., Izumi Y., Bradley E.F. Flux-Profile Relationships in the Atmospheric Surface Layer // J. Atmos. Sci. 1971. Vol. 28. P. 181–189. doi: 10.1175/1520-0469(1971)028<0181:FPRITA>2.0.CO;2

23. Grachev A.A., Andreas E.L., Fairall C.W., Guest P.S., Persson P.O.G. SHEBA flux–profile relationships in the stable atmospheric boundary layer // Boundary-Layer Meteorol. 2007. Vol. 124. P. 315–333. doi: 10.1007/s10546-007-9177-6

24. Esau I., Grachev A. Turbulent Prandtl Number in Stably Stratified Atmospheric Boundary Layer: Intercomparison between LES and SHEBA Data. e-WindEng, 2007, 005.

25. Sharan M., Kumar P. Estimation of upper bounds for the applicability of non-linear similarity functions for non-dimensional wind and temperature profiles in the surface layer in very stable conditions // Proc. R. Soc. A Math. Phys. Eng. Sci. 2011. Vol. 467. P. 473–494. doi: 10.1098/rspa.2010.0220

26. Högström U. Review of some basic characteristics of the atmospheric surface layer // Boundary-Layer Meteorol. 1996. Vol. 78. P. 215–246. doi: 10.1007/BF00120937

27. Johansson C., Smedman A.-S., Högström U., Brasseur J.G., Khanna S. Critical test of the validity of Monin-Obukhov similarity during convective conditions // J. Atmos. Sci. 2001. Vol. 58. P. 1549–1566. doi: 10.1175/1520-0469(2001)058<1549:CTOTVO>2.0.CO;2

28. Ha K.J., Hyun Y.K., Oh H.M., Kim K.E., Mahrt L. Evaluation of boundary layer similarity theory for stable conditions in CASES-99 // Mon. Weather Rev. 2007. Vol. 135. P. 3474–3483. doi: 10.1175/MWR3488.1

29. Zilitinkevich S., Grachev A., Hunt J.C.R. Non-local vertical transport in the shear-free convective surface layer: new theory and improved parameterization of turbulent fluxes // Air Pollution Modelling and Its Application XII (Eds. S.-E. Gryning and N. Chaumerliac), Plenum Publishing Corporation, New York, 1998. P. 321–325.

30. Zilitinkevich S., Calanca P. An extended similarity-theory for the stably stratified atmospheric surface layer // Quart. J. Roy. Meteorol. Soc. 2000. Vol. 126. P. 1913–1923.

31. Zilitinkevich S. Towards revision of conventional flux-profile relationships for the stably stratified atmospheric surface layer // Air Pollution Modelling and Its Application XIII (Eds. S.-E. Gryning and E. Batchvarova), Kluwer Academic / Plenum Publishers, NY, 2000. P. 403–407.

32. Smedman A.S. Observations of a multi-level turbulence structure in a very stable atmospheric boundary layer // Boundary-Layer Meteorol. 1988. Vol. 44. P. 231–253. doi: 10.1007/BF00116064

33. Nieuwstadt F.T.M. The Turbulent Structure of the Stable, Nocturnal Boundary Layer // J. Atmos. Sci. 1984. Vol. 41. P. 2202–2216.

34. Glazunov A.V., Mortikov E.V., Barskov K.V., Kadancev E.V., Zilitinkevich S.S. The layered structure of stably stratified turbulent shear flows // Известия Российской академии наук. Физика атмосферы и океана. 2019. Т. 55. С. 13–26. doi: 10.31857/S0002-351555413-26

35. Zilitinkevich S.S., Elperin T., Kleeorin N., Rogachevskii I., Esau I., Mauritsen T., Miles M.W. Turbulence energetics in stably stratified geophysical flows: Strong and weak mixing regimes // Q. J.R. Meteorol. Soc. 2008. Vol. 134. P. 793–799. doi: 10.1002/qj.264

36. Sun J., Lenschow D.H., Burns S.P., Banta R.M., Newsom R.K., Coulter R., Frasier S., Ince T., Nappo C., Balsley B.B., Jensen M., Mahrt L., Miller D., Skelly B. Atmospheric Disturbances that Generate Intermittent Turbulence in Nocturnal Boundary Layers // Boundary-Layer Meteorol. 2004. Vol. 110. P. 255–279. doi: 10.1023/A:1026097926169

37. Li D., Katul G.G., Zilitinkevich S.S. Revisiting the turbulent Prandtl number in an idealized atmospheric surface layer // J. Atmos. Sci. 2015. Vol. 72. P. 2394–2410.

38. Zilitinkevich S.S., Perov V.L., King J.C. Near-surface turbulent fluxes in stable stratification: Calculation techniques for use in general-circulation models // Q. J.R. Meteorol. Soc. 2002. Vol. 128. P. 1571–1587. doi: 10.1002/qj.200212858309

39. Savijärvi H. Stable boundary layer: Parametrizations for local and larger scales // Q. J.R. Meteorol. Soc. 2009. Vol. 135. P. 914–921. doi: 10.1002/qj.423

40. Mauritsen T., Svensson G., Zilitinkevich S.S., Esau I., Enger L., Grisogono B. A total turbulent energy closure model for neutrally and stably stratified atmospheric boundary layers // J. Atmos. Sci. 2007. Vol. 64. doi: 10.1175/2007JAS2294.1

41. Canuto V.M., Cheng Y., Howard A.M., Esau I. Stably stratified flows: A model with no Ri(cr) // J. Atmos. Sci. 2008. Vol. 65. doi: 10.1175/2007JAS2470.1

42. Zilitinkevich S.S., Esau I. Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layer // Atmospheric Boundary Layers. Springer New York, New York, NY, 2007. P. 37–49. doi: 10.1007/978-0-387-74321-9_4

43. Esau I. Simulation of Ekman boundary layers by large eddy model with dynamic mixed subfilter closure // Environ. Fluid Mech. 2004. Vol. 4. P. 273–303.

44. Mahrt L. Stratified Atmospheric Boundary Layers and Breakdown of Models // Theor. Comput. Fluid Dyn. 1998. Vol. 11. P. 263–279. doi: 10.1007/s001620050093

45. Zilitinkevich S.S., Esau I. On integral measures of the neutral barotropic planetary boundary layer // Boundary-Layer Meteorol. 2002. Vol. 104. P. 371–379. doi: 10.1023/A:1016540808958

46. Zilitinkevich S.S., Esau I. Similarity theory and calculation of turbulent fluxes at the surface for the stably stratified atmospheric boundary layer // Boundary-Layer Meteorol. 2007. Vol. 125. P. 193–205. doi: 10.1007/s10546-007-9187-4

47. Zilitinkevich S., Esau I., Baklanov A. Further comments on the equilibrium height of neutral and stable planetary boundary layers // Q. J.R. Meteorol. Soc. 2007. Vol. 133. P. 265–271. doi: 10.1002/qj.27

48. Zilitinkevich S.S., Tyuryakov A., Troitskaya Y.I., Mareev S. Theoretical models of the altitude of an atmospheric boundary layer and turbulent involvement at its upper boundary // Izvestia RAS — Atmos. Ocean Phys. 2012. Vol. 48. P. 150–160.

49. Sandu I., Beljaars A., Bechtold P., Mauritsen T., Balsamo G. Why is it so difficult to represent stably stratified conditions in numerical weather prediction (NWP) models? // J. Adv. Model. Earth Syst. 2013. Vol. 5. P. 117–133. doi: 10.1002/jame.20013

50. Esau I., Tolstykh M., Fadeev R., Shashkin V., Makhnorylova S., Miles V., Melnikov V. Systematic errors in northern Eurasian short-term weather forecasts induced by atmospheric boundary layer thickness // Environ. Res. Lett. 2018. Vol. 13. 125009. doi: 10.1088/1748-9326/aaecfb

51. Zilitinkevich S.S., Esau I. Planetary boundary layer feedbacks in climate system and triggering global warming in the night, in winter and at high latitudes // Geography, Environment and Sustainability. 2009. Vol. 1, No 2. P. 20–34.

52. Esau I., Zilitinkevich S. On the role of the planetary boundary layer depth in climate system // Adv. Sci. Res. 2010. Vol. 4. P. 63–69.

53. Davy R., Esau I. Differences in the efficacy of climate forcings explained by variations in atmospheric boundary layer depth // Nat. Commun. 2016. Vol. 7. 11690. doi: 10.1038/ncomms11690

54. Davy R., Esau I., Chernokulsky A., Outten S., Zilitinkevich S. Diurnal asymmetry to the observed global warming // Int. J. Climatol. 2017. Vol. 37. P. 79–93. doi: 10.1002/joc.4688

55. Petäjä T., Järvi L., Kerminen V.-M., Ding A., Sun J., Nie W., Kujansuu J., Virkkula A., Yang X., Fu C., Zilitinkevich S., Kulmala M. Enhanced air pollution via aerosol-boundary layer feedback in China // Scientific Reports. 2016. Vol. 6. 18998. doi: 10.1038/srep18998

56. Lappalainen H., Petaja T., Kujansuu J., Kerminen V.-M., Shvidenko A., Bäck J., Vesala T., Vihma T., de Leeuw G., Lauri A., Ruuskanen T., Lapshin V.B., Zaitseva N., Glezer O., Arshinov M., Spracklen D.V., Arnold S.R., Juhola S., Lihavainen H., Viisanen Y., Chubarova N., Chalov S., Filatov N., Skorokhod A., Elansky N., Dyukarev E., Esau I., Hari P., Kotlyakov V., Kasimov N., Bondur V., Matvienko G., Baklanov A., Mareev E., Troitskaya Y., Ding A., Guo H., Zilitinkevich S., Kulmala M. Pan-Eurasian Experiment (PEEX) — A research initiative meeting the grand challenges of the changing environment of the northern Pan-Eurasian Arctic-boreal areas // Geography, Environment and Sustainability. 2014. Vol. 7, No. 2. P. 13–48.