Momentum flux and flux divergence of gravity waves in directional shear flows over three-dimensional mountains

Journal of the Atmospheric Sciences

Volumn 69, Issue 12, 2012, Pages 3733-3744

  Xin, Xu ^a,b   Yuan, Wang ^a   Ming, Xue ^c  

^a NANJING UNIVERSITY   (China)

^b Center for Analysis and Prediction of Storms   (United States)

^c UNIVERSITY OF OKLAHOMA   (China)

Author keywords

Gravity waves

Indexed keywords

AMBIENT FLOW; FLUX DIVERGENCES; GRAVITY WAVE MOMENTUM; HEIGHT VARIATION; LOWER ATMOSPHERE; MEAN FLOW; MOMENTUM FLUX; MOUNTAIN WAVE; PEAK VALUES; RICHARDSON NUMBER; SHEARED FLOW; SURFACE WIND SPEED; TURNING ANGLES; VERTICAL SHEAR; VERTICAL WIND SHEAR; WAVE COMPONENTS; WAVE MOMENTUM; WIND TURNING;

GRAVITY WAVES; LANDFORMS; MOMENTUM;

SHEAR FLOW;

GRAVITY WAVE; MOMENTUM TRANSFER; MOUNTAIN; NUMERICAL MODEL; RICHARDSON NUMBER; SHEAR FLOW; WIND VELOCITY;

EID: 84871975114     PISSN: 00224928     EISSN: 15200469     Source Type: Journal    
DOI: 10.1175/JAS-D-12-044.1     Document Type: Article

References (41)

1. Booker, J. R., and F. P. Bretherton, 1967: The critical layer for internal gravity waves in a shear flow. J. Fluid Mech., 27, 513-539.
2. Bretherton, F. P., 1966: The propagation of groups of internal gravity waves in a shear flow. Quart. J. Roy. Meteor. Soc., 92, 466-480.
3. Booker, J. R., and F. P. Bretherton,, 1969: Momentum transport by gravity waves. Quart. J. Roy. Meteor. Soc., 95, 213-243.
4. Broad, A. S., 1995: Linear theory of momentum fluxes in 3-D flows with turning of the mean wind with height. Quart. J. Roy. Meteor. Soc., 121, 1891-1902.
5. Crapper, G. D., 1959: A three-dimensional solution for waves in the lee of mountains. J. Fluid Mech., 6, 51-76.
6. Doyle, J. D., and Q. Jiang, 2006: Observations and numerical simulations of mountain waves in the presence of directional wind shear. Quart. J. Roy. Meteor. Soc., 132, 1877-1905.
7. Eckermann, S.D., J.Lindeman, D.Broutman, J.Ma, andZ.Boybeyi, 2010: Momentum fluxes of gravity waves generated by variable Froude number flow over three-dimensional obstacles. J. Atmos. Sci., 67, 2260-2278.
8. Eliassen, A., and E. Palm, 1961: On the transfer of energy in stationary mountain waves. Geofys. Publ., 22, 1-23.
9. Fritts, D. C., 1984: Gravity wave saturation in the middle atmosphere: A review of theory and observations. Rev. Geophys., 22, 275-308.
10. Fritts, D. C., and T. J.Dunkerton, 1984:Aquasi-linear study of gravity-wave saturation and self-acceleration. J. Atmos. Sci., 41, 3272-3289.
11. Gregory, D., G. J. Shutts, and J. R. Mitchell, 1998: A new gravitywave- drag scheme incorporating anisotropic orography and low-level wave breaking: Impact upon the climate of the UK Meteorological Office Unified Model. Quart. J. Roy. Meteor. Soc., 124, 463-493.
12. Grubišić, V., and P. K. Smolarkiewicz, 1997: The effect of critical levels on 3D orographic flows: Linear regime. J. Atmos. Sci., 54, 1943-1960.
13. Holton, J. R., 1983: The influence of gravity wave breaking on the general circulation of the middle atmosphere. J. Atmos. Sci., 40, 2497-2507.
14. Holton, J. R., 2004: An Introduction to Dynamic Meteorology. 4th ed. Academic Press, 535 pp.
15. Jones, W. L., 1967: Propagation of internal gravity waves in fluids with shear flow and rotation. J. Fluid Mech., 30, 439-448.
16. Keller, T. L., 1994: Implications of the hydrostatic assumption on atmospheric gravity waves. J. Atmos. Sci., 51, 1915-1929.
17. Kim, Y. J., S. D. Eckermann, and H. Y. Chun, 2003: An overview of the past, present and future of gravity-wave drag parametrization for numerical climate and weather prediction models. Atmos.-Ocean, 41, 65-98.
18. Lin, Y.-L., 2007: Mesoscale Dynamics. Cambridge University Press, 630 pp.
19. Lindzen, R. S., 1981: Turbulence and stress owing to gravity wave and tidal breakdown. J. Geophys. Res., 86 (C10), 9707-9714.
20. Lott, F., 1999: Alleviation of the stationary biases in a GCM through a mountain drag parameterization scheme and a simple representation of mountain lift forces. Mon. Wea. Rev., 127, 788-801.
21. Martin, A., and F. Lott, 2007: Synoptic responses to mountain gravity waves encountering directional critical levels. J. Atmos. Sci., 64, 828-848.
22. McFarlane, N. A., 1987: The effect of orographically excited gravity wave drag on the general circulation of the lower stratosphere and troposphere. J. Atmos. Sci., 44, 1775-1800.
23. Miranda, P. M. A., and I. N. James, 1992: Non-linear threedimensional effects on gravity-wave drag: Splitting flow and
24. Palmer, T. N., G. J. Shutts, and R. Swinbank, 1986: Alleviation of systematic westerly bias in general circulation and numerical weather prediction models through an orographic gravity wave drag parameterization. Quart. J. Roy. Meteor. Soc., 112, 1001-1039.
25. Phillips, D. S., 1984: Analytical surface pressure and drag for linear hydrostatic flow over three-dimensional elliptical mountains. J. Atmos. Sci., 41, 1073-1084.
26. Schä r, C., and D. R. Durran, 1997: Vortex formation and vortex shedding in continuously stratified flows past isolated topography. J. Atmos. Sci., 54, 534-554.
27. Scinocca, J. F., and N. A. McFarlane, 2000: The parametrization of drag induced by stratified flow over anisotropic orography. Quart. J. Roy. Meteor. Soc., 126, 2353-2393.
28. Scinocca, J. F., and N. A. McFarlane, and B. R. Sutherland, 2010: Self-acceleration in the parameterization of orographic gravity wave drag. J. Atmos. Sci., 67, 2537-2546.
29. Shen, B.-W., and Y.-L. Lin, 1999: Effects of critical levels on twodimensional back-sheared flow over an isolated mountain ridge on an f plane. J. Atmos. Sci., 56, 3286-3302.
30. Shutts, G. J., 1995: Gravity-wave drag parametrization over complex terrain: The effect of critical level absorption in directional wind-shear. Quart. J. Roy. Meteor. Soc., 121, 1005-1021.
31. Shutts, G. J., 1998: Stationary gravity-wave structure in flows with directional wind shear. Quart. J. Roy. Meteor. Soc., 124, 1421-1442.
32. Shutts, G. J., 2003: Inertial-gravity wave and neutral Eady wave trains forced by directionally sheared flow over isolated hills. J. Atmos. Sci., 60, 593-606.
33. Shutts, G. J., and A. Gadian, 1999: Numerical simulations of orographic gravity waves in flows which back with height. Quart. J. Roy. Meteor. Soc., 125, 2743-2765.
34. Smith, R. B., 1979: Some aspects of the quasi-geostrophic flow over mountains. J. Atmos. Sci., 36, 2385-2393.
35. Smith, R. B., 1980: Linear theory of stratified hydrostatic flow past an isolated mountain. Tellus, 32, 348-364.
36. Smith, R. B., 1985: On severe downslope winds. J. Atmos. Sci., 42, 2597-2603.
37. Smolarkiewicz, P. K., and R. Rotunno, 1989: Low Froude number flow past three-dimensional obstacles. Part I: Baroclinically generated lee vortices. J. Atmos. Sci., 46, 1154-1164.
38. Teixeira, M. A. C., and P. M. A. Miranda, 2006: A linear model of gravity wave drag for hydrostatic sheared flow over elliptical mountains. Quart. J. Roy. Meteor. Soc., 132, 2439-2458.
39. Teixeira, M. A. C., and P. M. A. Miranda, 2009: On the momentum fluxes associated with mountain waves in directionally sheared flows. J. Atmos. Sci., 66, 3419-3433.
40. Teixeira, M. A. C., P. M. A. Miranda, and M. A. Valente, 2004: An analytical model of mountain wave drag for wind profiles with shear and curvature. J. Atmos. Sci., 61, 1040-1054.
41. Teixeira, M. A. C.,P. M. A. Miranda, J. L. Argain, and M. A. Valente, 2005: Resonant gravity-wave drag enhancement in linear stratified flow over mountains. Quart. J. Roy. Meteor. Soc., 131, 1795-1814.