Boundary-layer similarity under an axisymmetric, gradient wind vortex

Boundary-Layer Meteorology

Volumn 131, Issue 3, 2009, Pages 321-344

  Foster, Ralph C ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Similarity boundary layer modelling; Tropical cyclone boundary layer; Vortex boundary layer

Indexed keywords

AXI-SYMMETRIC; AXISYMMETRIC VORTICES; DIFFUSIVE TRANSPORTS; EKMAN LAYERS; GRADIENT WIND VORTICES; MEAN FLOWS; SIMILARITY BOUNDARY-LAYER MODELLING; SIMILARITY MODELS; SIMILARITY SOLUTIONS; SURFACE LAYERS; SURFACE WINDS; TROPICAL CYCLONE BOUNDARY LAYER; TURBULENCE PARAMETERIZATION; VORTEX BOUNDARY LAYER;

AERODYNAMICS; BOUNDARY LAYER FLOW; SURFACE PROPERTIES; VORTEX FLOW; WIND POWER;

BOUNDARY LAYERS;

ADVECTION; EKMAN LAYER; ENERGY DISSIPATION; INFLOW; NONLINEARITY; NUMERICAL MODEL; PARAMETERIZATION; SURFACE WIND; SYMMETRY; TROPICAL CYCLONE; TURBULENCE; TURBULENT BOUNDARY LAYER; VORTEX FLOW;

EID: 67349247043     PISSN: 00068314     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10546-009-9379-1     Document Type: Article

References (47)

1. Barenblatt GI (1996) Scaling, self-similarity and intermediate asymptotics. Cambridge University Press, UK, 386 pp
2. Bister M, Emanuel KA (1998) Dissiptive heating and hurricane intensity. Meteorol Atmos Phys 65:233-240. doi: 10.1007/BF01030791
3. Braun SA, Tao WK (2000) Sensitivity of high-resolution simulations of hurricane Bob (1991) to planetary boundary layer parameterizations. Mon Weather Rev 128:3941-3961. doi: 10.1175/ 1520-0493(2000)129<3941:SOHRSO>2.0.CO;2
4. Brown RA (1974) Analytic methods in planetary boundary modeling. Adam Hilger, UK, 146 pp
5. Brown RA, Foster RC (1994) On PBL models for general circulation models. Global Atmos Ocean Syst 2:163-183
6. Brown RA, Levy G (1986) Ocean surface pressure fields from satellite sensed winds. Mon Weather Rev 114:2197-2206. doi: 10.1175/ 1520-0493(1986)114<2197:OSPFFS>2.0.CO;2
7. Brown RA, Zeng L (1994) Estimating central pressures of oceanic mid-latitude cyclones. J Appl Meteorol 33:1088-1095. doi: 10.1175/ 1520-0450(1994)033<1088:ECPOOM>2.0.CO;2
8. Businger S, Businger JA (2001) Viscous dissipation of turbulence kinetic energy in storms. J Atmos Sci 58:3793. doi: 10.1175/ 1520-0469(2001)058<3793:VDOTKE>2.0.CO;2
9. Camp JP, Montgomery MY (2001) Hurricane maximum intensity: Past and present. Mon Weather Rev 129:1704-1717. doi: 10.1175/ 1520-0493(2001)129<1704:HMIPAP>2.0.CO;2
10. Drobinski P, Foster RC (2003) On the origin of near-surface streaks in the neutrally-stratified planetary boundary layer. Boundary-Layer Meteorol 108:247-256. doi: 10.1023/A:1024100125735
11. Elliassen A (1971) On the Ekman layer in a circular vortex. J Meteorol Japan 49:784-789
12. Elliassen A, Lystad M (1977) On the Ekman layer in a circular vortex: A numerical and theoretical study. Geophys Norv 31:1-16
13. Emanuel K (1986) An air-sea interaction theory for tropical cyclones Part 1: Steady-state maintenance. J Atmos Sci 43:585-604. doi: 10.1175/ 1520-0469(1986)043<0585:AASITF>2.0.CO;2
14. Emanuel KA (1991) The theory of hurricanes. Annu Rev Fluid Mech 23:179-196. doi: 10.1146/annurev.fl.23.010191.001143
15. Emanuel KA (1995a) The behavior of a simple hurricane model using a convective scheme based on subcloud-layer entropy equilibrium. J Atmos Sci 52:3960-3968. doi: 10.1175/ 1520-0469(1995)052<3960:TBOASH>2.0.CO;2
16. Emanuel KA (1995b) Sensitivity of tropical cyclones to surface exchange coefficients and a revised steady state model incorporating eye dynamics. J Atmos Sci 52:3969-3976. doi: 10.1175/ 1520-0469(1995)052<3969:SOTCTS>2.0.CO;2
17. Fairall CW, Bradley EF, Hare JE, Grachev AA, Edson JB (2003) Bulk parameterization of air-sea fluxes: Updates and verification for the COARE algorithm. J Clim 16:571-591. doi: 10.1175/ 1520-0442(2003)016<0571:BPOASF>2.0.CO;2
18. Foster RC (1997) Structure and energetics of optimal Ekman layer perturbations. J Fluid Mech 333:97-123. doi: 10.1017/S0022112096004107
19. Foster RC (2005) Why rolls are prevalent in the hurricane boundary layer. J Atmos Sci 62: 2647-2661. doi: 10.1175/JAS3475.1 2647-2661 doi: 10.1175/JAS3475.1
20. Foster RC, Brown RA (1994) On large-scale PBL modeling for general circulation models: Surface wind and flux comparisons. Global Atmos Ocean Syst 2:185-198
21. Foster RC, Vianey F, Drobinski P, Carlotti P (2006) Near-surface coherent structures and the vertical momentum flux in a large-eddy simulation of the neutrally-stratified boundary layer. Boundary-Layer Meteorol 120:229-255. doi: 10.1007/s10546-006-9054-8
22. French JR, Drennan WM, Zhang JA, Black PG (2007) Turbulent fluxes in the hurricane boundary layer. Part I: Momentum flux. J Atmos Sci 64:1089-1102. doi: 10.1175/JAS3887.1
23. Holland GJ (1980) An analytic model of the wind and pressure profiles in hurricanes. Mon Weather Rev 108:1212-1218. doi: 10.1175/ 1520-0493(1980)108<1212:AAMOTW>2.0.CO;2
24. Holland GJ (2008) A revised hurricane pressure-wind model. Mon Weather Rev 136:3432-3445. doi: 10.1175/2008MWR2395.1
25. Kepert J (2001) The dynamics of boundary layer jets within the tropical cyclone core. Part 1: Linear theory. J Atmos Sci 58:2469-2484. doi: 10.1175/1520-0469(2001)058<2469:TDOBLJ>2.0.CO;2
26. Kepert J, Wang Y (2001) The dynamics of boundary layer jets within the tropical cyclone core. Part II: Nonlinear enhancement. J Atmos Sci 58:2485-2501. doi: 10.1175/1520-0469(2001)058<2485:TDOBLJ>2.0.CO;2
27. Levy G (1989) Surface dynamics of observed maritime fronts. J Atmos Sci 46:1219-1232. doi: 10.1175/1520-0469(1989)046<1219:SDOOMF>2.0.CO;2
28. Large WG, Pond S (1981) Open ocean momentum flux measurements in moderate to strong winds. J Phys Oceanogr 11:324-336. doi: 10.1175/ 1520-0485(1981)011<0324:OOMFMI>2.0.CO;2
29. Leslie LM, Smith RK (1970) The surface boundary layer of a hurricane - Part II. Tellus 22:288-297
30. Lettau H (1950) A reexamination of the Leipzig wind profile considering some relations between wind and turbulence in the frictional layer. Tellus 2:125-129
31. Mellor G, Yamada T (1982) Development of a turbulence closure model for geophysical fluid problems. Rev Geophys Space Phys 20:851-875. doi: 10.1029/RG020i004p00851
32. Morrison I, Businger S, Marks IF, Dodge P, Businger J (2005) Observational evidence for the prevalence of roll vortices in hurricane boundary layers. J Atmos Sci 62:2662-2673. doi: 10.1175/JAS3508.1
33. Patoux J, Foster RC, Brown RA (2003) Global pressure fields from scatterometer winds. J Appl Meteorol 42:813-826. doi: 10.1175/ 1520-0450(2003)042<0813:GPFFSW>2.0.CO;2
34. Patoux J, Foster RC, Brown RA (2008) Evaluation of scatterometer-derived oceanic surface pressure fields. J Appl Meteorol 47:835-842. doi: 10.1175/2007JAMC1683.1
35. Persing J, Montgomery MT (2003) Hurricane superintensity. J Atmos Sci 60:2349-2371. doi: 10.1175/1520-0469(2003)060<2349:HS>2.0.CO;2
36. Powell MD, Vickery PJ, Reinhold TA (2003) Reduced drag coefficient for high wind speeds in tropical cyclone. Nature 422:279-283. doi: 10.1038/ nature01481
37. Rossby CG, Montgomery RB (1935) The layers of functional influence in wind and ocean currents, Contribution 71 from the Woods Hole Oceanographic Institution, Papers in Physical and Oceanography and Meteorology, 3, MIT, Cambridge, MA, 101 pp
38. Shampine LF, Gladwell I, Thompson S (2003) Solving ODEs with MATLAB. Cambridge University Press, UK, 272 pp
39. Smith RK (1968) The surface boundary layer of a hurricane. Tellus 20:473-483
40. Smith RK (2003) A simple model of the hurricane boundary layer. Q J Roy Meteorol Soc 129:1007-1027. doi: 10.1256/qj.01.197
41. Stevens B (2000) Quasi-steady analysis of a PBL model with an eddy diffusivity profile and nonlocal fluxes. Mon Weather Rev 128:824-836. doi: 10.1175/1520-0493(2000)128<0824:QSAOAP>2.0.CO;2
42. Stevens B, Duan J, McWilliams JC, Munnich M, Neelin JD (2002) Entrainment, Rayleigh friction and boundary layer winds over the tropical Pacific. J Clim 15:30-44. doi: 10.1175/ 1520-0442(2002)015<0030:ERFABL>2.0.CO;2
43. Troen IB, Mahrt L (1986) A simple model of the atmospheric boundary layer: Sensitivity to surface evaporation. Boundary-Layer Meteorol 36:129-148. doi: 10.1007/BF00122760
44. Willoughby HE, Rahn ME (2004) Parametric representation of the primary hurricane vortex PartI: Observations and evaluation of the Holland (1980) model. Mon Weather Rev 132:3033-3048. doi: 10.1175/MWR2831.1
45. Wu R, Blumen W (1982) An analysis of Ekman boundary layer dynamics incorporating the geostrophic momentum approximation. J Atmos Sci 39: 1774-1782. doi: 10.1175/1520-0469(1982)039<1774:AAOEBL>2.0.CO;2
46. Young G, Kristovich D, Hjelmfelt M, Foster RC (2002) Rolls, streets, waves, and more. A review of quasi-two-dimensional structures in the atmospheric boundary layer (incl. electronic supplement). Bull Am Meteorol Soc 83:997-1001. doi: 10.1175/ 1520-0477(2002)083<0997:RSWAMA>2.3.CO;2
47. Zhang JA, Katsaros KB, Black PG, Lehner S, French JR, Drennan WM (2008) Effects of roll vortices on turbulent fluxes in the hurricane boundary layer. Boundary-Layer Meteorol 128:1573-1472. doi: 10.1007/ s10546-008-9281-2