Numerical solutions of the momentum equations for the lower overshoot layer

Details Numerical solutions of the momentum equations for the lower overshoot layer Numerical solutions of the momentum equations for the lower overshoot layer

Jan 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001esasp.464..657m&link_type=abstract

In: Proceedings of the SOHO 10/GONG 2000 Workshop: Helio- and asteroseismology at the dawn of the millennium, 2-6 October 2000,

Physics

Sun: Interior, Overshooting, Turbulence

Scientific paper

The lower overshooting layer, which plays an important role in the dynamo mechanism, is one of the least known regions of the Sun. The most promising way to model this region is the Reynolds-stress method. In this paper we determine the radial distribution of the turbulent kinetic energy k, the mean square relative temperature fluctuation q, the normalized energy flux J, and the energy dissipation rate ɛ. We present solutions in the case of a simple k-ɛ model and in the case of solving all four differential equations using various Δ∇ distributions (temperature stratifications). We use a diffusive approximation for the nonlocal fluxes ("Xiong's closure"), considering the case of both strong and weak nonlocality. The resulting profiles of k and ɛ are found to be approximately linear and the profiles of the turbulent lengths and time scales l and τ are also similar for different cases. The shapes of these profiles thus seem to be robust properties of the solution, with little sensitivity to the particular parameter values and background stratification assumed. In contrast, we find that the penetration depth depends rather sensitively on the slope of the Δ∇ curve and on the strength of nonlocality assumed.

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