Skip to main content
Have a personal or library account? Click to login
Justifying the WKB approximation in pure katabatic flows Cover

Justifying the WKB approximation in pure katabatic flows

Open Access
|Jan 2002

References

  1. Arritt , R. W. and Pielke , R. A. 1986 . Interactions of noc-turnal slope flows with ambient winds . Boundary-Layer Meteorol . 37 , 183 195 .
  2. Bender , C. M. and Orszag , S. A. 1978 . Advanced mathematical methods for scientists and engineers . McGraw-Hill , New York , 593 pp .
  3. Berger , B. W. and Grisogono , B. 1998 . The baroclinic, variable eddy viscosity Ekman layer. An approximate analytical solution . Boundary-Layer Meteorol . 87 , 363 380 .
  4. Defant , E 1949 . Zur theorie der Hangwinde, nebst bemerkungen zur Theorie der Bergund Talwinde . Arch. Meteor. Geophys. Biokl. Ser. Al , 421 450 .
  5. Denby , B. 1999 . Second-order modelling of turbulence in katabatic flows . Boundary-Layer Meteorol . 92 , 67 100 .
  6. Denby , B. and Smeets , C. J. P. P. 2000 . Derivation of turbulent flux profiles and roughness lengths from katabatic flow dynamics . J. Appl. Meteorol . 39 , 1601 1612 .
  7. Egger , J. 1990 . Thermally forced flows: theory. In, Atmospheric processes over complex terrain. (ed. W. Blumen. Am. Meteorol. Soc., Washington, DC, 43 - 57 .
  8. Enger , L. 1990 . Simulation of dispersion in moderately complex terrain Part A. The fluid dynamics model . Atmos. Environ . 24A , 2431 2446 .
  9. Gill , A. E. 1982 . Atmosphere-ocean dynamics ,. Academic Press , New York , 662 pp .
  10. Grisogono , B. 1994 . Dissipation of wave drag in the atmospheric boundary layer. J. Atmos. Sc i . 51 , 1237 1243 .
  11. Grisogono , B. 1995a . A generalized Ekman layer profile within gradually-varying eddy diffusivities . Quart. J. R. Meteorol. Soc . 121 , 445 453 .
  12. Grisogono , B. 1995b . Wave-drag effects in a mesoscale model with a higher-order closure turbulence scheme . J. Appl. Meteorol . 34 , 941 954 .
  13. Grisogono , B. and Oerlemans , J. 2001a . Katabatic flow: analytic solution for gradually varying eddy diffusivities. J. Atmos. Sc i . 58 , 3349 3354 .
  14. Grisogono , B. and Oerlemans , J. 200lb. A theory for the estimation of surface fluxes in simple katabatic flows. Quart. J. R. Meteorol. Soc . 127 , 2725-273 9 .
  15. Holton , J. R. 1992 . An introduction to dynamic meteorology ,. Academic Press , New York , 3rd edn , 511 pp.
  16. Hunt , J.C.R. , Stretch D. D. and Britter , R. E. 1988 . Length scales in stably stratified turbulent flows and their use in turbulence models . In: Stably stratified flow and dense gas dispersion. (ed. J. S. Puttock). Clarendon Press , Oxford , 285 321 .
  17. Laprise , J. P. R. 1993 . An assessment of the WKBJ approximation to the vertical structure of linear mountain waves: implications for gravity-wave drag parameterization. J. Atmos. Sc i . 50 , 1469 1487 .
  18. Mahrt , L. 1982 . Momentum balance of gravity flows. J. Atmos. Sc i . 39 , 2701 2711 .
  19. Mahrt , L. 1998 . Stratified atmospheric boundary layers and breakdown of models . Theoret. Comput. Fluid Dyn . 11 , 263 279 .
  20. Munro , D. S. and Davies , J. A. 1978 . On fitting the log-linear model to wind speed and temperature profiles over a melting glacier . Boundary-Layer Meteorol . 15 , 423 437 .
  21. Nappo , C. J. and Rao , K. S. 1987 . A model study of pure katabatic flow . Tellus 39A , 61 71 .
  22. O’Brien , J. J. 1970 . A note on the vertical structure of the eddy exchange coefficient in the planetary boundary layer. J. Atmos. Sc i . 27 , 1213 1215 .
  23. Oerlemans , J. 1998 . The atmospheric boundary layer over metling glaciers. In: Clear and cloudy boundary layers . Royal Netherlands Academy of Arts and Sciences , Amsterdam , 129 153 .
  24. Oerlemans , J. and Fortuin , J. P. E 1992 . Sensitivity of glaciers and small ice caps to greenhouse warming . Science , 258 , 115 117 .
  25. Oerlemans , J. , Bjönisson , H. , Kuhn , M. , Obleitner , E , Palsson , E , Smeets , P. , Vugts , H. E and de Wolde , J. 1999 . A glacio-meteorological experiment on Vatnajokull, Iceland, Summer 1996. Boundary-Layer Meteorol . 92 , 92 26 .
  26. Pahlow , M. , Partange , M. B., and Porte-Agel , E 2001. On Monin-Obukhov similarity in the stable atmospheric boundary layer. Boundary-Layer Meteorol . 99 , 99 248 .
  27. Pawlak , G. and Armi , L. 2000 . Mixing and entrainment in developing stratified currents . J. Fluid Mech . 424 , 45 73 .
  28. Pielke , R. A . 1984 . Mesoscale numerical modeling . Academic Press , New York , 612 pp.
  29. Prandtl , L. 1942 . Fiihrer durch die Strömungslehre . Vieweg und Sohn , Braunschwieg , 373 375 .
  30. Schumann , U. and Gerz , T. 1995 . Turbulent mixing in stably stratified shear flows . J. Appl. Meteorol . 34 , 33 48 .
  31. Smeets , C. J. P. P., Duynkerke P. G. and Vugts , H. E 2000 . Tur-bulence characteristics of the stable boundary layer over a mid-latitude glacier. Part Pure katabatic forcing conditions. Boundary-Layer Meteorol . 97 , 97 107 .
  32. Stull , R. B . 1988 . An Introduction to Boundary Layer Meteorology . Kluwer Academic Publishers , Dayrdrecht , 666 pp.
  33. Tjemstrom , M. 1993 . Turbulence length scales in stably stratified free shear flow analyzed from slant aircraft profiles . J. Appl. Meteorol . 32 , 948 963 .
  34. Van den Broeke , M. R. 1997 . Momentum, heat and moisture budgets of the katabatic wind layer over a mid-latitude glacier in summer. J. Appl. Meteorol . 36 , 36 774 .
  35. 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 . 92 , 39 66 .
  36. Zilitinkevich , S. and Calanca , P. 2000. An extended theory for the stably stratified atmospheric boundary layer . Quart. J. R. Meteorol. Soc . 126 , 1913– 1923 .
  37. Zilitinkevich , S. and Mironov , D. V. 1996 . A multi-limit formulation for the equilibrium depth of a stably stratified boundary layer . Boundary-Layer Meteorol . 81 , 325 351 .
Language: English
Page range: 453 - 462
Submitted on: Nov 22, 2001
Accepted on: May 23, 2002
Published on: Jan 1, 2002
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2002 Branko Grisogono, Johannes Oerlemans, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.