Astron. Astrophys. 326, 1001-1012 (1997)

Appendix A: species conservation

A.1. Mass fraction

Consider a species i whose mass fraction in the accreted matter and in the star at shell j are and , respectively. The total mass of element i after accretion is given by and represent a summation over the n shells of the model:

So, we have

and finally we obtain

A.2. Rescaled abundances

The new fractional mass derived alone refers to the old mesh point. However, modifications of the mass profile can result in changes in the mesh points. If k is the shell number such that where subscript j refers to the old mesh points and k to the current ones, the interpolated composition at mass is then

© European Southern Observatory (ESO) 1997

Online publication: April 8, 1998
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