On a New One-Dimensional Time-Dependent Model for Turbulence and Convection - Part Two - an Elementary Comparison of the Old and the New Model

Details On a New One-Dimensional Time-Dependent Model for Turbulence and Convection - Part Two - an Elementary Comparison of the Old and the New Model On a New One-Dimensional Time-Dependent Model for Turbulence and Convection - Part Two - an Elementary Comparison of the Old and the New Model

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...253..101g&link_type=abstract

Astronomy and Astrophysics, Vol.253, NO. 1/JANI, P. 101, 1992

Astronomy and Astrophysics

Astrophysics

14

Turbulent-Convective Transport, Stellingwerf/Castor Theory, Nonlinear Responses

Scientific paper

A new model for turbulent convective transport in spherical symmetry is compared with a related version suggested by Stellingwerf (1982). Both formulations are compared in detail and crucial differences are highlighted. For various idealized situations the pure temporal and spatial behavior of both models is analyzed.
It is shown that the new formulation features characteristic time scales for igniting and decaying turbulent motions, whereas Stellingwerf's model lacks of an intrinsic time scale for the growth of turbulence. For the new model this leads in particular to well defined non-linear response times to rapid changes affecting the turbulent regime. In such circumstances Stellingwerf's model proves to be unable to follow up and settles into a state which is independent of the fast variations.
In both the new and Stellingwerf's model one can define characteristic length scales for the non-linear diffusion process. These can be interpreted as parameters for the convective overshooting. It is shown that the new formulation has a much sharper cutoff of the turbulent velocity outside the regions of convective instability than Stellingwerf's.

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