Diffusion in stellar interiors: critical tests of three numerical methods

Details Diffusion in stellar interiors: critical tests of three numerical methods Diffusion in stellar interiors: critical tests of three numerical methods

2003-12-15

arxiv.org/abs/astro-ph/0312368v1

Astron.Astrophys. 416 (2004) 1023-1036

Astronomy and Astrophysics

Astrophysics

15 pages, 8 figures. accepted for publication in Astronomy and Astrophysics

Scientific paper

10.1051/0004-6361:20031735

We describe and discuss the properties of three numerical methods for solving the diffusion equation for the transport of the chemical species and of the angular momentum in stellar interiors. We study through numerical experiments both their accuracy and their ability to provide physical solutions. On the basis of new tests and analyses applied to the stellar astrophysical context, we show that the most robust method to follow the secular evolution is the implicit finite differences method. The importance of correctly estimating the diffusion coefficient between mesh points is emphasized and a procedure for estimating the average diffusion coefficient between a convective and a radiative zone is described.

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