Numerical modelling of the developed horizontal circulation in the atmospheric boundary layer
DOI:
https://doi.org/10.7242/1999-6691/2009.2.1.5Keywords:
atmospheric boundary layer, turbulence, helicity, organized vortex structures, numerical modelingAbstract
A numerical model taking into account the turbulent helicity effect has been developed to describe the dynamics of organized vortex structures in the Ekman atmospheric boundary layer. The numerical results indicate that the vortices have the sizes and periodicity close to those observed experimentally. The obtained results are found to be consistent with the theoretical predictions for the helicity effect on direct energy cascade weakening toward small-scale modes.
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Walter B.A., Oberlander J. Observation of longitudinal rolls in near neutral atmosphere // Monthly Weather Review. - 1982. - No 112. - P. 200-208. DOI
Ordanovic A.E. Matematiceskoe modelirovanie <> ulic v pogranicnom sloe atmosfery // Izv. AN SSSR. Fizika atmosfery i okeana. - 1988. - No 24. - S. 922-931.
Ginis I., Khain A.P., Morozovsky E. Effects of large eddies on the structure of the marine boundary layer under strong wind conditions // J. Atmos. Sci. - 2004. - No 64. - P. 3049-3063. DOI
Ordanovic A.E., Paskovskaa U.V. Vlianie termiceskoj stratifikacii na ustojcivost’ ekmanovskogo tecenia // Izv. RAN. Mehanika zidkosti i gaza. - 1998. - No 3. - S. 71-75.
Kaylor R.E. and Faller A. Instability of the stratified Ekman boundary layer and the generation of internal waves // J. Atmos. Sci. - 1972. - V. 29, No 3. - P. 497-509. DOI
Braun N.A. Analiticeskie metody modelirovania planetarnogo pogranicnogo sloa - L.: Gidrometeoizdat, 1976. - 151 s.
Lilly D.K. On the stability of Ekman boundary flow // J. Atmos. Sci. - 1966. - No 23. - P. 481-494. DOI
Weckwerth T.M., Wilson J.W., Wakimoto R.M., Crook N.A. Horizontal Convective Rolls: Determining the Environmental Conditions Supporting their Existence and Characteristics // Monthly Weather Review. - 1997. - V. 125 (4). - P. 505-526. DOI
Ponomarev V.M., Hapaev A.A., Chetiani O.G. Rol’ spiral’nosti v formirovanii vtoricnyh struktur v ekmanovskom pogranicnom sloe // Izv. RAN. Fizika atmosfery i okeana. - 2003. - T. 39, No 4. - S. 435-444.
Ordanovic A.E., Paskovskaa U.V. Issledovanie ustojcivosti neodnorodnogo ekmanovskogo pogranicnogo sloa // Vestn. Mosk. un-ta. Ser.1. Matematika, mehanika. - 1995. - No 3. - S. 53-59.
Kurganskij M.V. Svaz’ mezdu spiral’nost’u i potencial’nym vihrem v szimaemoj vrasausejsa zidkost’u // Izv. AN SSSR. Fizika atmosfery i okeana. - 1989. - T. 25 (12). - C. 1326-1329.
Hide R. Superhelicity, helicity and potential vorticity. Geophys // Astrophys. Fluid Dyn. - 1989. - V. 48. - P. 69-79. DOI
Koprov B.M., Koprov V.M., Ponomarev V.M., Chetiani O.G. Izmerenie turbulentnoj spiral’nosti i ee spektra v pogranicnom sloe atmosfery // DAN. - 2005. - T. 403 (5). - S. 627-630.
Etling D. Some aspects of helicity in atmospheric flows // Beitraege zur Physik der Atmosphaere . - 1985. - V. 58. - P. 88-100.
Chetiani O.G. O spiral’noj strukture Ekmanovskogo pogranicnogo sloa. Izv. RAN. Fizika atmosfery i okeana. - 2001. - T. 37, No 5. - S. 614-620.
Ponomarev V.M., Chetiani O.G., Sestakova L.V. Nelinejnaa dinamika krupnomasstabnyh vihrevyh struktur v turbulentnom Ekmanovskom sloe // Izv. RAN. Mehanika zidkosti i gaza. - 2007. - No 2. - S. 81-91
Mihajlova L.A., Ordanovic A.E. Modelirovanie dvuhmernyh uporadocennyh vihrej v pogranicnom sloe atmosfery // Meteorologia i gidrologia. - 1988. - No 11. - S. 29-42.
Mason P., Sykes R. A two-dimensional numerical study of horizontal roll vortices in the neutral atmospheric boundary layer // Quart. J. Roy. Met. Soc. - 1980. - V. 106, N. 448. - S. 351-366. DOI
Deardorf J.W. Numerical investigation of neutral and unstable planetary layer // J. Atmos. Sci. - 1972. -V. 29. - P.91-115. DOI
Coleman G.N., Ferziger J.H., Spalart P.R. A numerical study of the turbulent Ekman layer // J. Fluid Mech. - 1990. - V. 213. - P. 313-348. DOI
Coleman G.N., Ferziger J.H., Spalart P.R. A numerical study of the convective boundary layer // Boundary-Layer Meteor. - 1994. - V. 70, No 3. - P. 247-272. DOI
Ponomarev V.M., Chetiani O.G. Poluempiriceskaa model’ pogranicnogo sloa atmosfery s parametrizaciej vliania turbulentnoj spiral’nosti. // Izv. RAN. Fizika atmosfery i okeana. - 2005. - T. 41, No 4. - S. 464-479.
Tarunin E.L. Vycislitel’nyj eksperiment v zadacah svobodnoj konvekcii. - Irkutsk: Izd-vo Irkut. un-ta, 1990. - 228s.
Rouc P. Vycislitel’naa gidrodinamika. - M.: Mir, 1980. - 618s.
Arakawa A. Computational Design for Long-Term Numerical Integration of the Equations of Fluid Motion: Two-Dimensoinal Incompressible Flow // Journal of Computational Physics. - 1997. - V. 135. - P. 103-114. DOI
Samarskij A.A., Gulin A.V. Cislennye metody. - M.: Nauka, 1989. - 432s.
Brooks I.M., Rogers D.P. Aircraft Observations of Boundary Layer Rolls off the Coast of California // J. Atmos. Sci. - 1997. - V. 94. - P. 1834-1849. DOI
LeMone M.A.. The structure and dynamics of horizontal roll vortices in the planetary boundary layer // J. Atmos. Sci. - 1973. - V. 30. - P. 1077-1091. DOI
Foster R.C. An analytic model for planetary boundary roll vortices: / Ph. D. thesis, University of Washington. - Seattle, 1996. - 195 p.
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