Arakawa, A., 1966: Computational design for long term integration of the equations of motion: Two-dimensional incompressible flow. Part I. J. Comput. Phys. 1, 119-143.

Asselin, R. 1972: Frequency filter for time integrations. Mon. Wea. Rev., 100, 487-490.

ARPS, 1995: ARPS Users Guide Version 4.0, Center for Analysis and Prediction of Storms, University of Oklahoma, 380pp.

Bacmeister, J. T., and M. R. Schoeberl, 1989: Breakdown of vertically propagating two-dimensional gravity waves forced by orography. J. Atmos. Sci., 46, 2109-2134.

Barnes, S. L., 1964: A technique for maximizing details in numerical weather map analysis. J. Appl. Meteor., 3, 396-409.

Black A., 1996: Personal communication. Department of Soil Sciences, University of British Columbia, Canada.

Blumen, W., 1965: A random model of momentum flux by mountain waves. Geofys. Publ., 20, 1-33.

Bretherton, F. P., 1966: Critical layer instability in baroclinic flows. Quart. J. Royal Meteo. Soc., 92, 325-334.

Brinkmann, W. A. R., 1974: Strong downslope windstorms. Mon. Wea. Rev. ,102, 592-602.

Brown, J. M., 1986: A decision tree for forecasting downslope winds in Colorado.  Preprints 11^th conference on weather forecasting and analysis, June 17-20, 1986, Kansas City, Missouri, American Meteorological Society.

Brown, J. M., A. A. Rockwood, J. F. Weaver, B. D. Jamison, and R. Holmes, 1992: An expert system for the prediction of downslope windstorms. Fourth workshop on operational meteorology, September 15-18, 1992, Whistler, B. C., Canada.

Burden, R. L., and J. D. Faires, 1989: Numerical Analysis, Fourth Edition, PWS-Kent Publishers, 70-71.

Caughey, S. J., and S. G. Palmer, 1979: Some aspects of turbulence structure through the depth of the convective layer. Quart. J. Royal Meteo. Soc., 105, 811-827.

Clark, T. L., and W. R. Peltier, 1977: On the evolution and stability of finite-amplitude mountain waves. J. Atmos. Sci., 34, 1715-1730.

Clark, T. L., and W. R. Peltier, 1984: Critical level reflection and the resonant growth of nonlinear mountain wave. J. Atmos. Sci., 41, 3122-3134.

Clark, T. L., and W. D. Hall, and R. M. Banta, 1994: Two and three-dimensional Simulations of the 9 January 1989 severe Boulder windstorm: Comparison with observations. J. Atmos. Sci., 51, 2314-2343.

Crapper, G. D., 1959: A three-dimensional solution for waves in the lee of mountains.  J. Fluid Mech. 6, 51-76.

Deardorff, J. W., 1980: Stratocumulus-capped mixed layers derived from a three dimensional model. Boundary Layer Meteorology, 18, 495-527.

Durran, D. R., and J. B. Klemp, 1983: A compressible model for the simulation of moist mountain waves. Mon. Wea. Rev., 111, 2341-2361.

_____, D. R., 1986: Another look at downslope windstorms, Part I, J. Atmos. Sci., 43, 2527-2543.

_____, D. R., and J.B. Klemp, 1987: Another look at downslope windstorms, Part II, J. Atmos. Sci., 44, 3402-3412.

_____, D. R., 1990: Atmospheric processes over complex terrain, Meteorological monographs, Amer. Meteo. Soc., Chapter 4, 328pp.

_____, D. R., 1992: Two layer solutions to Long?s equation for vertically propagating mountain waves: how good is linear theory? Quart. J. Royal Meteo. Soc., 118, 415-433.

_____, D. R., M. J. Yang, D. N. Slinn, and R. G. Brown, 1993: Toward more accurate wave-permeable boundary conditions. Mon. Wea. Rev., 121, 604-620.

Eliassen, A., and E. Palm, 1960: Wave energy transfer in stationary gravity waves.  Geofys. Publ., Vol. 22, Number 3.

Emanuel, K. A., 1994: Atmospheric Convection. Oxford University Press, 580pp.

Fiedler, B. H., 1992: Lecture notes. University of Oklahoma, Norman Oklahoma.

Garratt, J. R., 1994: The atmospheric boundary layer. Cambridge University Press, 316pp.

Gill, A. E., 1982: Atmospheric-Ocean Dynamics. Academic Press, New York, 662pp.

Gutman, L. N., 1991: Downslope windstorms, Part I: Effect of air density decrease with height. J. Atmos. Sci., 48, 2545-2551.

Haltiner, G. J., and R. T. Williams, 1980: Numerical Prediction and Dynamic Meteorology. Second Ed., John Wiley and Sons, 447pp.

Hornbeck, R.W., 1975: Numerical Methods, Prentice-Hall, Englewood Cliff, NJ.  310pp.

Julian, L. T., and P. R. Julian, 1969: Boulders winds. Weatherwise, 22, 108-112.

Klemp, J. B., and D. R., Durran 1983: An upper radiation boundary condition:  Permitting internal gravity wave radiation in mesoscale models. Mon. Wea. Review, Vol. 111, 430-444.

_____, J. B., and R. B. Wilhelmson, 1978: Numerical Simulation of convective storm dynamics. J. Atmos. Sci., 35, 1070-1096.

_____, J. B., and D. K. Lilly, 1975: The dynamics of wave induced downslope winds.  J. Atmos. Sci., 32, 320-339.

_____, J. B., and D. K. Lilly, 1978: Numerical simulations of hydrostatic mountain waves. J. Atmos. Sci., 35, 78-107.

_____, J. B., and D. K. Lilly, 1979: The effects of terrain shape on nonlinear hydrostatic mountain waves. J. Fluid Mech., 95, 241-261.

Kundu, P. K., 1990: Fluid Mechanics. Academic Press, New York, 638pp.

Lilly, D. K., and E. J. Zipser, 1972: The Front Range windstorm of January 11, 1972.  Weatherwise, 25, 56-63.

_____, D. K., 1978: A severe downslope windstorm and aircraft turbulence event induced by a mountain wave. J. Atmos. Sci., 35, 59-77.

_____, D. K., 1983: Linear theory of internal gravity waves and mountain waves.  Mesoscale Meteorology, D. Reidel Publishers, 781pp.

_____, D. K., 1992: Buoyant Energetics. Class treatise, University of Oklahoma.
 

Long, R. R, 1953: Some aspects of the flow of stratified fluids, I: A theoretical investigation. Tellus, 5, 42-58.

Malkus, J. S., and M. E. Stern, 1953: The flow of a stable atmosphere over a heat island, Part 1. J. Meteo., 10, 30-41.

Miller, P.P., and D. R. Durran, 1991: On the sensitivity of downslope windstorms to the asymmetry of the mountain profile. J. Atmos. Sci., 48, 1457-1473.

Moeng, C. H., 1984: A large eddy simulation model for the study of planetary boundary layer turbulence. J. Atmos. Sci., 41, 2052-2062.

Nance, L. B., and D. R. Durran, 1994: A comparison of the accuracy of three anelastic systems and pseudo-compressible system. J. Atmos. Sci., 51, 3549-3565.

Neiman, P. J., R. M. Hardesty, M. A. Shapiro, and R. E Cupp, 1988: Doppler lidar observations of a downslope windstorm. Mon. Wea. Review, Vol. 116, 2265-2275.

Orlanski, I., 1976: A simple boundary condition for unbounded hyperbolic flows. J. Comput. Phys., 21 , 251-269.

Peltier, W. R. and T. L. Clark, 1979: The evolution and stability of finite amplitude mountain waves: Part 2: Surface drag and observed windstorms. J. Atmos. Sci., 36, 1498-1529.

______, W. R., and T. L. Clark, 1983: Nonlinear mountain waves in two and three spatial dimensions. Quart. J. Royal Meteo. Soc., 109, 527-548.

Phillips, D. S., 1984: Analytical surface pressure and drag for linear hydrostatic flow over three-dimensional elliptical mountain. J. Atmos. Sci., 41, 1073-1084.

Queney, P., 1948: The problem of airflow over mountains. A summary of theoretical studies. Bull. Amer. Meteo. Soc., 29, 16-26.

Raymond, D. J., 1972: Calculation of airflow over an arbitrary ridge including diabatic heating and cooling. J. Atmos. Sci., 29, 837-843.

Reisner, J. M., and P. K. Smolarkiewicz, 1994: Thermally forced low Froude number flow past three-dimensional obstacles. J. Atmos. Sci., 51, 117-133.

Scheetz, V. R., J. F. Henz, and R. A. Maddox, 1976: Colorado severe downslope windstorms: A prediction technique. Final report under contract No. 5-35431 to TDL/SDO/NWS from Geophysical Research and Development Corporation.

Scorer, R. S., 1955: Theory of airflow over mountains, Part 4: Separation of flow.  Quart. J. Royal Meteo. Soc., 81, 340-350.

Sellers et.al., 1995: The boreal ecosystem atmosphere study (BOREAS): An overview and early results from the 1994 field year. Bull. Amer. Meteor. Society, Vol., 76, 1549-1578.

Sheppard, P. A., 1956: Airflow over mountains. Quart. J. Royal Meteo. Soc., 82, 528.

Skamarock, W. C., and J. B. Klemp, 1992: The stability of time-split numerical Methods for the hydrostatic and the non-hydrostatic elastic equations. Mon. Wea. Rev., 120, 2109-2127.

Smith, R. B., 1979: The influence of mountains on the atmosphere. Advances in Geophysics. Academic Press, Vol. 29, 87-230.

_____, R. B., 1980: Linear theory of stratified hydrostatic flow past an isolated mountain. Tellus, 32, 348-364.

_____, R. B., 1985: On severe downslope winds. J. Atmos. Sci., 42, 2597-2603.

_____, R. B., 1988: Linear theory of stratified flow past an isolated mountain in isosteric coordinates. J. Atmos., Sci., 45, 3889-3896.

_____, R. B., 1989: Mountain induced stagnation points in hydrostatic flow. Tellus, 41A, 270-274.

_____, R. B., and Y.L. Lin, 1982: The addition of heat to a stratified airstream with application to the dynamics of orographic rain. Quart. J. Royal Meteo. Soc., 108, 353-378.

Sullivan, P. P, J. C. McWilliams, and C. H. Moeng, 1994: A subgrid-scale model for large eddy simulations of planetary boundary layer flows. Boundary Layer Meteorology 71, 247-276.

Sun, W. Y., and C. Z. Chang, 1986: Diffusion model for a convective layer, Part 1: Numerical simulations of convective boundary layer. J. Climate and Appl. Meteo., 25, 1445-1453.

Whiteman, C. D., and J. G. Whiteman, 1974: An historical climatology of damaging downslope windstorms at Boulder, Colorado. NOAA Tech. Report ERL 336-APCL 35. [Available from the Superintendent of Documents, U.S. Government Printing Office, Washington D.C.]

Wurtele, M., 1957: The three-dimensional lee wave. Beitr. Phys. Frei. Atmos., 29, 242-252.

Xue M. X, and S. J. Lin, 1991: On the numerical equivalence of advection terms in flux and advective form. Unpublished manuscript. Center for the Analysis and Prediction of Storms, University of Oklahoma, 10pp.

Yamada T., and G. Mellor, 1975: A simulation of the Wangara atmosphere boundary layer date. J. Atmos. Sci., 32, 2309-2329.