Mathematics – Dynamical Systems
Scientific paper
Dec 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icsu...18t....h&link_type=abstract
In International Council of Scientific Unions Handbook for MAP, Vol. 18 3 p (SEE N86-27719 18-46)
Mathematics
Dynamical Systems
Atmospheric Circulation, Atmospheric Models, Convergence, Damping, Heat Flux, Momentum Transfer, Planetary Waves, Rayleigh Waves, Stratosphere, Vorticity, Wave Interaction, Coefficient Of Friction, Dynamical Systems, Euler-Lagrange Equation
Scientific paper
A theoretical study is made of the effects of mean damping on wave-mean flow interactions. A condition is derived for the Eliassen-Palm flux divergence to balance the steady-state residual circulations induced by eddies in the presence of mean damping. It is shown by a simple analytical model that this balance holds for stratospheric planetary waves when the Rayleigh friction coefficient is one order smaller than the Newtonian cooling coefficient, although the tall mean flow condition is not violated. In this case, the Eliassen-Palm flux divergence can be interpreted as approximating the steady residual circulation (approximately equal to Lagrangian-mean circulations) induced by eddies as well as the net mean acceleration in the absence of mean damping. This balance is consistent with the stratospheric circulations of a dynamical model.
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