Stellar convection 2: A multi-mode numerical solution for convection in spheres

Details Stellar convection 2: A multi-mode numerical solution for convection in spheres Stellar convection 2: A multi-mode numerical solution for convection in spheres

Nov 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979stin...8010979m&link_type=abstract

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Mathematics

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

Scientific paper

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.

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