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Reflexion and stability of waves in stably stratified fluids with shear flow: a numerical study

Published online by Cambridge University Press:  28 March 2006

Walter L. Jones
Affiliation:
National Center for Atmospheric Research, Boulder, Colorado

Abstract

A numerical examination has been made of the reflectivity of critical levels with low Richardson number to internal gravity waves propagating in stratified fluids with shear. At sufficiently low positive Richardson numbers the reflected wave may actually be stronger than the incident.

The normal mode instabilities of three simple models have also been computed. The results are presented in three dimensions: Richardson number, horizontal wave scale and real wave frequency.

Type
Research Article
Copyright
© 1968 Cambridge University Press

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References

Bolgiano, R. 1962 J. Geophys. Res. 67, 3015.
Booker, J. R. & Bretherton, F. P. 1967 J. Fluid Mech. 27, 513.
Bretherton, F. P. 1966 Quart. J. Roy. Met. Soc. 92, 466.
Case, K. M. 1960 Phys. Fluids, 3, 149.
Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
Drazin, P. G. 1958 J. Fluid Mech. 4, 214.
Eliassen, A. & Palm, E. 1961 Geof. Publ. 22, no. 3, 1.
Howard, L. N. 1961 J. Fluid Mech. 10, 509.
Kuo, H. L. 1963 Phys. Fluids, 6, 195.
Lumley, J. L. 1964 J. Atmos. Sci. 21, 99.
Miles, J. W. 1961 J. Fluid Mech. 10, 496.
Slater, L. J. 1960 Confluent Hypergeometric Functions. Cambridge University Press.
Synge, J. L. 1933 Trans. Roy. Soc. Can. 27, 1.
Yih, C. S. 1965 Dynamics of Nonhomogeneous Fluids. Macmillan, New York: Macmillan.