Stellar convection 2: A multimode numerical solution for convection in spheres
Abstract
The convective flow of a self gravitating sphere of Boussinesq fluid for small Reynolds and Peclet numbers is numerically determined. The decomposition of the equations of motion into modes is reviewed and a relaxation method is developed and presented to compute the solutions to these equations. The stable equilibrium flow for a Rayleigh number of 10 to the 4th power and a Prandtl number of 10 is determined. The 2 and 3 dimensional spectra of the kinetic and thermal energies and the convective flux as a function of wavelengths are calculated in terms of modes. The anisotropy of the flow as a function of wavelength is defined.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 November 1979
 Bibcode:
 1979STIN...8010979M
 Keywords:

 Convection;
 Convective Flow;
 Stellar Structure;
 Boussinesq Approximation;
 Equations Of Motion;
 Galerkin Method;
 Nonlinear Equations;
 Relaxation Method (Mathematics);
 Thermal Energy;
 Astrophysics