A note on two-equation closure modelling of canopy flow

Boundary-Layer Meteorology

Volumn 130, Issue 3, 2009, Pages 423-435

  Sogachev, Andrey ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Atmospheric boundary layer; Canopy flow; Non neutral stratification; Turbulence closure; Two equation models

Indexed keywords

AERODYNAMICS; ATMOSPHERIC THERMODYNAMICS; BOUNDARY LAYER FLOW; BOUNDARY LAYERS; BUOYANCY; KINETIC ENERGY; TROPOSPHERE; TURBULENCE;

ATMOSPHERIC BOUNDARY LAYER; CANOPY FLOW; NON-NEUTRAL STRATIFICATION; TURBULENCE CLOSURE; TWO-EQUATION MODELS;

MATHEMATICAL MODELS;

CANOPY; NUMERICAL MODEL; TURBULENCE; TURBULENT BOUNDARY LAYER; TURBULENT FLOW; WIND PROFILE;

EURASIA; EUROPE; FINLAND; NORTHERN EUROPE; SCANDINAVIA;

EID: 60649106329     PISSN: 00068314     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10546-008-9346-2     Document Type: Article

References (37)

1. Apsley DD, Castro IP (1997) A limited-length-scale k-ε model for the neutral and stably-stratified atmospheric boundary layer. Boundary-Layer Meteorol 83:75-98. doi: 10.1023/A:1000252210512
2. Ayotte KW, Finnigan JJ, Raupach MR (1999) A second-order closure for neutrally stratified vegetative canopy flows. Boundary-Layer Meteorol 90:189-216. doi: 10.1023/A:1001722609229
3. Baumert H, Peters H (2000) Second-moment closures and length scales for weakly stratified turbulent shear flows. J Geophys Res 105:6453-6468. doi: 10.1029/1999JC900329
4. Blackadar AK (1962) The vertical distribution of wind and turbulent exchange in a neutral atmosphere. J Geophys Res 67:3095-3102. doi: 10.1029/JZ067i008p03095
5. Brunet Y, Finnigan JJ, Raupach MR (1994) A wind tunnel study of air flow in waving wheat: Single-point velocity statistics. Boundary-Layer Meteorol 70:95-132. doi: 10.1007/BF00712525
6. Businger J, Wyngaard JC, Izumi Y, Bradley EF (1971) Flux-profile relationships in the atmospheric surface layer. J Atmos Sci 28:181-189. doi: 10.1175/1520-0469(1971)028<0181:FPRITA>2.0.CO;2
7. Castro FA, Palma JMLM, Silva Lopes A (2003) Simulation of the Askervein flow: Part 1: Reynolds averaged Navier-Stokes equations (k-ε turbulence model). Boundary-Layer Meteorol 107:501-530. doi: 10.1023/ A:1022818327584
8. Deardorff JW (1972) Numerical investigations of neutral and unstable planetary boundary layers. J Atmos Sci 18:495-527
9. Duynkerke PG (1988) Application of the E-ε turbulence closure model to the neutral and stable atmospheric boundary layer. J Atmos Sci 45:865-880. doi: 10.1175/1520-0469(1988)045<0865:AOTTCM>2.0.CO;2
10. Finnigan JJ (2000) Turbulence in plant canopies. Annu Rev Fluid Mech 32:519-571. doi: 10.1146/annurev.fluid.32.1.519
11. Finnigan JJ (2007) Turbulent flow in canopies on complex topography and the effects of stable stratification. In: Gayev YA, Hunt JCR (eds) Flow and transport processes with complex obstructions. Springer, Dordrecht, pp 199-219
12. Finnigan JJ, Shaw RH (2008) Double-averaging methodoly and its application to turbulent flow in and above vegetation canopies. Acta Geophys 56:534-561. doi: 10.2478/s11600-008-0034-x
13. Hanjalić K (2005) Will RANS survive LES? A view of perspectives. ASME J Fluid Eng 27:831-839. doi: 10.1115/1.2037084
14. Hanjalić K, Kenjereš S (2008) Some developments in turbulence modeling for wind and environmental engineering. J Wind Eng Ind Aerodyn 96:1537-1570. doi: 10.1016/j.jweia.2008.02.054
15. Hari P, Kulmala M (2005) Station for measuring ecosystem-atmosphere relations (SMEAR II). Boreal Environ Res 10:315-322
16. Hipsey MR, Sivapalan M, Clement TP (2004) A numerical and field investigation of surface heat fluxes from small wind-sheltered waterbodies in semi-arid Western. Environ Fluid Mech 4:79-106. doi: 10.1023/A:1025547707198
17. Kantha LH (2004) The length scale equation in turbulence models. Nonlinear Process Geophys 11:83-97.15
18. Kantha LH, Bao J-W, Carniel S (2005) A note on Tennekes hypothesis and its impact on second moment closure models. Ocean Model 9:23-29
19. Katul GG, Mahrt L, Poggi D, Sanz C (2004) One- and two-equation models for canopy turbulence. Boundary- Layer Meteorol 113:81-109. doi: 10.1023/ B:BOUN.0000037333.48760.e5
20. Laakso L, Grönholm T, Kulmala L, Haapanala S, Hirsikko A, Lovejoy ER, Kazil J, Kurtén T, Boy M, Nilsson ED, Sogachev A, Riipinen I, Stratmann F, Kulmala M (2007) Hot-air balloon measurements of vertical variation of boundary layer new particle formation. Boreal Environ Res 12:279-294
21. Launder BE, Spalding DB (1974) The numerical computation of turbulent flows. Comput Mech Appl Mech Eng 3:269-289
22. Launder BE, Reece GJ, Rodi W (1975) Progress in the development of a Reynolds-stress turbulent closure. J Fluid Mech 68:537-566. doi: 10.1017/ S0022112075001814
23. Moeng C-H (1984) A Large-eddy simulation model for the study of planetary boundary-layer turbulence. J Atmos Sci 41:2052-2062. doi: 10.1175/1520-0469(1984)041<2052:ALESMF>2.0.CO;2
24. Paulson CA (1970) The mathematical representation of wind speed and temperature profiles in the unstable atmospheric surface layer. J Appl Meteorol 9:857-860. doi: 10.1175/ 1520-0450(1970)009<0857:TMROWS>2.0.CO;2
25. Pielke R (2002) Mesoscale meteorological modeling. Academic Press, San Diego, 676pp
26. Pope SB (2000) Turbulent flows. Cambridge University Press, UK, 771pp
27. Rao KS, Wyngaard JC, Coté OR (1974) Local advection of momentum, heat, and moisture in micrometeorology. Boundary-Layer Meteorol 7:331-348. doi: 10.1007/BF00240836
28. Raupach MR, Shaw RH (1982) Averaging procedures for flow within vegetation canopies. Boundary-Layer Meteorol 22:79-90. doi: 10.1007/ BF00128057
29. Seginer I, Mulhearn PJ, Bradley EF, Finnigan JJ (1976) Turbulent flow in a model plant canopy. Boundary-Layer Meteorol 10:423-453. doi: 10.1007/ BF00225863
30. Sogachev A, Panferov O (2006) Modification of two-equation models to account for plant drag. Boundary-Layer Meteorol 121:229-266. doi: 10.1007/s10546-006-9073-5
31. Sogachev A, Menzhulin G, Heimann M, Lloyd J (2002) A simple three dimensional canopy - planetary boundary layer simulation model for scalar concentrations and fluxes. Tellus 54:784-819
32. Svensson U, Häggkvist K (1990) A two-equation turbulence model for canopy flows. J Wind Eng Ind Aerodyn 35:201-211
33. Umlauf L, Burchard H (2003) A generic length-scale equation for geophysical turbulence models. J Mar Res 61:235-265. doi: 10.1357/ 002224003322005087
34. Wang H, Takle ES (1995) A numerical simulation of boundary-layer flows near shelterbelts. Boundary-Layer Meteorol 75:141-173. doi: 10.1007/ BF00721047
35. Wilcox DC (1988) Reassessment of the scale determining equation for advance turbulence models. AIAA J 26:1299-1310. doi: 10.2514/3.10041
36. Wilcox DC (2002) Turbulence modeling for CFD. DCW Industries Inc., La Cañda, 540pp
37. Wilson JD, Finnigan JJ, Raupach MR (1998) A first-order closure for disturbed plant-canopy flows, and its application to winds in a canopy on a ridge. Q J R Meteorol Soc 124:705-732