Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...240..203m&link_type=abstract
Astrophysical Journal, Part 1, vol. 240, Aug. 15, 1980, p. 203-217.
Astronomy and Astrophysics
Astrophysics
17
Boussinesq Approximation, Convective Flow, Hydrodynamics, Prandtl Number, Rayleigh Number, Stellar Structure, Eddy Viscosity, Energy Budgets, Energy Spectra, Finite Difference Theory, Flow Velocity, Isotropy, Spherical Harmonics, Time Dependence
Scientific paper
The results of a numerical, three-dimensional study of convection in a self-gravitating sphere of Boussinesq fluid with a Rayleigh number of 10-billion and a Prandtl number of 1 are presented. The velocity and temperature are computed by using spectral methods in the horizontal and finite-differencing in the radial directions. An eddy viscosity and diffusivity are needed to model the subresolution flow. For Rayleigh numbers much less than 10-billion the flows do not have well-defined inertial ranges, and an eddy viscosity and diffusivity cannot be assigned in this self-consistent manner. By computing the energy spectra as well as the detailed energy budgets as a function of wavenumber, it is shown that for Rs = 10-billion there is an inertial range for the modes corresponding to spherical harmonics with l greater than 6.
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