Stellar convection 2: A multi-mode 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