Astronomy and Astrophysics – Astrophysics
Scientific paper
Dec 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gapfd..22..159z&link_type=abstract
Geophysical and Astrophysical Fluid Dynamics, vol. 22, no. 1-2, 1982, p. 159-193. Research supported by the Centre National de
Astronomy and Astrophysics
Astrophysics
19
Convective Heat Transfer, Fluid Boundaries, Free Convection, Modal Response, Nonlinear Equations, Stratified Flow, Thermal Instability, Astronomical Models, Astrophysics, Buoyancy, Geophysics, Kinetic Energy, Mathematical Models, Prandtl Number, Rayleigh Number, Velocity Distribution
Scientific paper
It is pointed out that thermal convection in many astrophysical and geophysical settings occurs in an unstable layer bounded above and below by regions which are stably stratified. The convective motions may extend a substantial distance into the adjacent stable zones. If the motions have little direct effect upon the mean stratification of the stable zone, then they are usually referred to as convective overshooting. The primary objective of the present investigation is to study the dynamics of overshooting at very large Rayleigh numbers, mainly with stellar applications in mind. Numerically this is only feasible if severe simplifications are made in the description of what are likely to be turbulent motions. The approach employed in the investigation utilizes nonlinear modal equations in which the vertical and temporal structure of the convection is described accurately at the expense of the horizontal structure. A summary of the salient properties of penetrative convection is provided on the basis of the results of the conducted studies.
Latour J.
Toomre Juri
Zahn Jean-Paul
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