Second-order modelling of turbulence in katabatic flows

Boundary-Layer Meteorology

Volumn 92, Issue 1, 1999, Pages 67-100

  Denby, Bruce ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

Glacier Wind; Katabatic; Second order turbulence modelling; Stable boundary layer

Indexed keywords

BOUNDARY FLOW; BOUNDARY LAYER; ICE; SURFACE PROPERTY; TURBULENCE;

BOUNDARY CONDITIONS; ICE SHEET; KATABATIC FLOW; TURBULENCE;

EID: 0032714552     PISSN: 00068314     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1001796906927     Document Type: Article

References (47)

1. Anderson, D., Tannehill, J., and Pletcher, R.: 1984, Computational Fluid Mechanics and Heat Transfer, Hemisphere Publishing, 252 pp.
2. Andrén, A.: 1990, 'Evaluation of a Turbulence Closure Scheme Suitable for Air-Polution Applications', J. Appl. Meteorol. 29, 224-239.
3. Arritt, R. and Pielke, R.: 1986, 'Interactions of Nocturnal Slope Flows with Ambient Winds', Boundary-Layer Meteorol. 37, 183-195.
4. Brost, R. and Wyngaard, J.: 1978, 'A Model Study of the Stably Stratified Planetary Boundary Layer', J. Atmos. Sci. 35, 1427-1440.
5. Brost, R., Wyngaard, J., and Lenschouw, D.: 1982, 'Marine Stratocumulus Layers. Part II: Turbulence Budgets', J. Atmos. Sci. 39, 818-836.
6. Crow, S.: 1968, 'Viscoelastic Properties of Fine Grained Incompressible Turbulence', J. Fluid. Mech. 41, 81.
7. Davies, T., Palutikof, J., Guo, X., Berkofsky, L., and Halliday, J.: 1995, 'Development and Testing of a Two-Dimensional Downslope Wind Model', Boundary-Layer Meteorol. 73, 279-297.
8. Delage, Y.: 1974, 'A Numerical Study of the Nocturnal Atmospheric Boundary Layer', Quart. J. Roy. Meteorol. Soc. 100, 351-364.
9. Detering, H. and Etling, D.: 1985, 'Application of the E - ∈ Turbulence Model to the Atmospheric Boundary Layer', Boundary-Layer Meteorol. 33, 113-133.
10. Doran, J. and Horst, T.: 1983, 'Observations and Models of Simple Nocturnal Slope Flows', J. Atmos. Sci. 40, 708-717.
11. Duynkerke, P.: 1988, 'Application of the E - ∈ Turbulence Closure Model to the Neutral and Stable Atmospheric Boundary Layer', J. Atmos. Sci. 45, 865-880.
12. Duynkerke, P. and Nieuwstadt, F.: 1989, 'The Solution of the E - ∈ Model for Nearly Homogenous Turbulence with a Mean Shear', Boundary-Layer Meteorol. 46, 25-43.
13. Forrer, J. and Rotach, M.: 1997, 'On the Turbulence in the Stable Boundary Layer over the Greenland Ice Sheet', Boundary-Layer Meteorol. 85, 111-136.
14. Gallée, H., de Ghelin, O., and van den Broeke, M.: 1995, 'Simulation of Atmospheric Circulation during the GIMEX 91 Experiment Using a Meso-γ Primitive Equation Model', J. Clim. 8, 2843-2859.
15. Garratt, J. R.: 1992, The Atmospheric Boundary Layer, Cambridge University Press, Cambridge, 316 pp.
16. Gibson, M. and Launder, B.: 1978, 'Ground Effects on Pressure Fluctuations in the Atmospheric Boundary Layer', J. Fluid. Mech. 86, 491-511.
17. Grant, A.: 1990, 'The Structure of Turbulence in the Mean Atmospheric Boundary Layer', J. Atmos. Sci. 49, 226-239.
18. Hanjalić, K. and Launder, B.: 1972, 'A Reynolds Stress Model of Turbulence and its Application to Thin Shear Flows', J. Fluid. Mech. 52, 609-638.
19. Horst, T. and Doran, J.: 1986, 'Nocturnal Drainage Flow on Simple Slopes', Boundary-Layer Meteorol. 34, 263-286.
20. Horst, T. and Doran, J.: 1988, 'The Turbulence Structure of Nocturnal Slope Flow', J. Atmos. Sci. 45, 605-616.
21. Irwin, H.: 1974, 'Measurements in a Self-Preserving Plane Wall Jet in a Positive Pressure Gradient', J. Fluid. Mech. 61, 33-63.
22. King, J.: 1990, 'Some Measurements of Turbulence over an Antarctic Ice Shelf', Quart. J. Roy. Meteorol. Soc. 116, 379-400.
23. Kolmogorov, A.: 1941, 'The Local Structure of Turbulence in Incompressible Viscous Fluid for Very Large Reynolds Number', Dokl. Akad. Nauk. SSSR 30, 301.
24. Koo, Y. and Reible, D.: 1995, 'Flow and Transport Modelling in the Sea-Breeze. Part I: A Modified E - ∈ Model with a Non-Equilibrium Level 2.5 Closure', Boundary-Layer Meteorol. 75, 109-140.
25. Larsson, L.: 1997, 'Measurements and Modelling of Turbulence Characteristics in Stable Boundary Layers', Internal Report, IMAU, University of Utrecht, 97-25.
26. Launder, B.: 1975, 'On the Effects of a Gravitational Field on the Turbulent Transport of Heat and Momentum', J. Fluid. Mech. 67, 569-581.
27. Launder, B., Reece, G., and Rodi, W.: 1975, 'Progress in the Development of a Reynolds-Stress Turbulent Closure', J. Fluid. Mech. 68, 537-566.
28. Mahrt, L.: 1982, 'Momentum Balance of Gravity Flows', J. Atmos. Sci. 39, 2701-2711.
29. Meesters, A., Bink, N., Henneken, E., Vugts, H., and Cannemeijer, F.: 1997a, 'Katabatic Wind Profiles over the Greenland Ice Sheet: Observation and Modelling', Boundary-Layer Meteorol. 85, 475-496.
30. Meesters, A., Bink, N., Vugts, H., Cannemeijer, F., and Henneken, E.: 1997b, 'Turbulence Observations above a Smooth Melting Surface on the Greenland Ice Sheet', Boundary-Layer Meteorol. 85, 81-110.
31. Meesters, A., Henneken, E., Bink, N., Vugts, H., and Cannemeijer, F.: 1994, 'Simulation of the Atmospheric Circulation near the Greenland Ice Sheet Margin', Global Planet. Change 9, 53-67.
32. Mellor, G. and Yamada, T.: 1982, 'Development of a Turbulence Closure Model for Geophysical Fluid Problems', Rev. Geophys. 20, 851-875.
33. Munro, D. and Davies, J.: 1978, 'On Fitting the Log-Linear Model to Wind Speed and Temperature Profiles over a Melting Glacier', Boundary-Layer Meteorol. 15, 423-4-37.
34. Nappo, C. and Rao, K.: 1987, 'A Model Study of Pure Katabatic Flows', Tellus 39A, 61-71.
35. Nieuwstadt, F: 1984, 'The Turbulent Structure of the Stable Nocturnal Boundary Layer', J. Atmos. Sci. 41, 2202-2216.
36. Nieuwstadt, F. and van Dop, H. (eds.): 1981, Atmospheric Turbulence and Air Polution Modelling, D. Reidel Publishing Company, Dordrecht, 358 pp.
37. Oerlemans, J., Björnsson, H., Kühn, M., Obleitner, F., Palsson, F., Smeets, C. J. P. P., Vugts, H. F., and de Wolde, J.: 1999, 'Glacio-Meteorological Investigations on Vatnajökull, Iceland, Summer 1996: An Overview', Boundary-Layer Meteorol., this issue.
38. Økland, H., Engedahl, H., and Sannes, O.: 1988, 'Model Simulations of Katabatic Wind in a Simplified Valley Topography', Z. Meteorol. 38, 293-298.
39. Rao, K. and Snodgrass, H.: 1981, 'A Nonstationary Nocturnal Drainage Flow Model', Boundary-Layer Meteorol. 20, 309-320.
40. Rotta, J.: 1951, 'Statistiche Theorie Nichthomogener Turbulenz', Z. Phys. 129, 547-572.
41. Shir, C.: 1973, 'A Preliminary Numerical Study of Atmospheric Turbulent Flows in the Idealized Planetary Boundary Layer', J. Atmos. Sci. 30, 1327-1339.
42. Smeets, P., Duynkerke, P., and Vugts, H.: 1998, 'Turbulence Characteristics of the Stable Boundary Layer over a Mid-Latitude Glacier. Part I: A Combination of Katabatic and Large Scale Forcing', Boundary-Layer Meteorol. 87, 117-145.
43. Van den Broeke, M.: 1997a, 'Momentum, Heat, and Moisture Budgets of the Katabatic Wind Layer over a Midlatitude Glacier in Summer', J. Appl. Meteorol. 36, 763-774.
44. Van den Broeke, M.: 1997b, 'Structure and Diurnal Variations of the Atmospheric Boundary Layer over a Mid-Latitude Glacier in the Summer', Boundary-Layer Meteorol. 83, 183-205.
45. Van Der Avoird, E. and Duynkerke, P. G.: 1999, 'Turbulence in a Katabatic Flow. Does It Resemble Turbulence in Stable Boundary Layers over Flat Surfaces?', Boundary-Layer Meteorol., this issue.
46. Wong, R., Hage, K., and Philips, L.: 1987, 'The Numerical Simulation of Drainage Winds in a Small Urban Valley under Conditions with Supercritical Richardson Numbers', J. Climate Appl. Meteorol. 26, 1447-1463.
47. 2l Turbulence Closure Model', J. Atmos. Sci. 40, 91-106.