Energy partition in a barotropic atmosphere

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Blumen, William (2011)

The response of an unbounded rotating barotropic atmosphere to a randomly distributed initial energy input is investigated. The initial condition is specified in terms of an energy density function and the solutions (kinetic and potential energies) of a one-dimensional and time-dependent linearized system are determined. The results show that the approach to a predominantly steady-state geostrophic energy distribution is rapid if the initial energy density spectrum is broad and/or the wave number of maximum initial energy density occurs at a relatively large wave-number, k ? 4. If the initial energy density is concentrated in a narrow band in the low wave-number part of the spectrum a significant amount of energy goes into ageostrophic inertia-motion and the approach to the steady-state occurs slowly.DOI: 10.1111/j.2153-3490.1967.tb01471.x
  • References (11)
    11 references, page 1 of 2

    Burgers, J. M. 1950. Correlation problem in a onedimensional model of turbulence. Proc. K . Ned. Akad. Wet. 53, 247-260.

    Cahn, A. 1945. An investigation of the free oscillations of a simple current system. J . Meteor. 2, 113-119.

    ErdBlyi, A. 1956. Aqmptotic mpanaiona. Dover Publications, 108 pp.

    Tellus XIX (1967),2 Lighthill, J. J. 1959. Introduction to Fourier analysis and Generalised Functions. Cambridge University Press, 79 pp.

    Magnus, W. & Oberhettinger, F. 1949. Formulas and Theorems for the Functions of Mathematical Physics. Chelsea Publishing Co., New York, 172 pp.

    MEECHAM,W. C. & SIEOELA,., 1964. WienerHermite expansion in model turbulence at large Reynolds numbers. Phys, Fluids 7, 1178-1190.

    Obukhov, A. M. 1949. On the question of the geostrophic wind. Izv. Akad. Nauk U S S R Ser Geograf. Geofiz. 13, No. 4, 281-306.

    Rossby, C. G. 1938. On the mutual adjustment of pressure and velocity distributions in certain simple current systems. J . M a r . Res. 1, 239-263.

    Veronis, G. 1956. Partition of energy between geostrophic and nongeostrophic oceanic motions. Deep Sea Research 3, 157-177.

    Washington, W. M. 1964. A note on the adjustment towards geostrophic equilibrium in a simple fluid system. Tellus 16, 530-533.

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