Articles | Volume 22, issue 2
Nonlin. Processes Geophys., 22, 133–138, 2015
https://doi.org/10.5194/npg-22-133-2015
Nonlin. Processes Geophys., 22, 133–138, 2015
https://doi.org/10.5194/npg-22-133-2015

Research article 06 Mar 2015

Research article | 06 Mar 2015

Time-dependent Long's equation

M. Humi

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Cited articles

Baines, P. G.: Topographic effects in Stratified flows. Cambridge Univ. Press, New York, 1995.
Drazin, P. G.: On the steady flow of a fluid of variable density past an obstacle, Tellus, 13, 239–251, 1961.
Drazin, P. G. and Moore, D. W.: Steady two dimensional flow of fluid of variable density over an obstacle, J. Fluid. Mech., 28, 353–370, 1967.
Durran, D. R.: Two-Layer solutions to Long's equation for vertically propagating mountain waves, Q. J. Roy. Meteorol. Soc., 118, 415–433, 1992.
Fritts, D. C. and Alexander, M. J.: Gravity wave dynamics and effects in the middle atmosphere, Rev. Geophys., 41, 1003, https://doi.org/10.1029/2001RG000106, 2003.
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Long's equation models the steady state of two-dimensional stratified flow over terrain. It has been used extensively to investigate the generation and properties of gravity waves and their impact on the structure constants of the atmosphere. In this paper we derive a time-dependent version of this equation which might be useful in the analysis of experimental data about gravity waves.