Statistics – Computation
Scientific paper
Aug 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...164...45l&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 164, no. 1, Aug. 1986, p. 45-50.
Statistics
Computation
39
Convection, Mixing Length Flow Theory, Stellar Cores, Stellar Structure, Adiabatic Conditions, Computational Astrophysics, Kinetic Energy, Stellar Oscillations
Scientific paper
A critical rediscussion of the nonlocal mixing-length theory (MLT) proposed by Shaviv and Salpeter (1973) and Maeder (1974) and the resulting overshooting of stellar convective cores is given. It is shown that in the case of a negative convective flux two solutions for the temperature excess and velocity of the convective eddies exist, one of them leading directly to a negligible overshooting. Following the second solution, a method is proposed to fit the nonlocal MLT, which is appropriate to the outer part of the convective core, to the local MLT, which is shown to be preferable in the inner part. This method is applied to the convective core of a 2-solar-mass ZAMS star, resulting in a negligible overshooting. The strong deviation from earlier results is extensively discussed. The general result is that the nonlocal MLT may lead to a negligible overshooting for physically reasonable boundary conditions.
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