Stellar convection 3: Convection at large Rayleigh numbers

Computer Science

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Convection, Convective Flow, Rayleigh Number, Stellar Structure, Anisotropy, Boussinesq Approximation, Diffusivity, Eddy Viscosity, Energy Spectra, Isotropy, Thermal Energy

Scientific paper

A three dimensional study of convection in a self gravitating sphere of Boussinesq fluid with a Rayleigh number of 10 to the 10th power and a Prandtl of 1 is presented. The velocity and temperature of the fluid are computed at the largest wavelengths using spectral methods. A confirmation that the fluid is anisotropic and that the energy spectra are not smooth functions of wavelength but have a large amount of fine structure is discussed. The parameterization of the transport properties of the unresolvable inertial subrange with eddy viscosities and diffusivities is described. The time dependent fluctuations in the energy spectra and how they cascade from large to small wavelengths is examined.

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