Computer Science – Numerical Analysis
Scientific paper
Jul 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980apj...239..622m&link_type=abstract
Astrophysical Journal, Part 1, vol. 239, July 15, 1980, p. 622-639.
Computer Science
Numerical Analysis
10
Celestial Sphere, Free Convection, Hydrodynamics, Numerical Analysis, Stellar Gravitation, Stellar Structure, Boussinesq Approximation, Convective Flow, Energy Dissipation, Equilibrium Equations, Flow Velocity, Kinetic Energy, Modal Response, Spherical Harmonics, Stellar Spectra, Thermal Energy, Wavelengths
Scientific paper
A stable, equilibrium solution for convection in a self-gravitating sphere of Boussinesq fluid was computed by using a modal analysis in which the theta, phi dependence of the fluid is expanded in a set of 168 spherical harmonics. The temperature, velocity, and convective flux of the fluid as well as the kinetic and thermal energy spectra as functions of wavelength are computed. The spectra are found to be in agreement with both experimental observations and analytic scaling laws. The dynamics of the energy cascade is examined by computing the ratio of the amount of energy dissipation at a particular wavelength to the amount of energy produced at that same wavelength. It is found that there is only a slight cascade of kinetic energy to smaller wavelengths but a large cascade of thermal energy.
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