On equation of state interpolation errors in stellar interior calculations

Statistics – Computation

Scientific paper

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Computational Astrophysics, Stellar Evolution, Stellar Interiors, Equations Of State, Main Sequence Stars, Red Giant Stars, Stellar Models

Scientific paper

Equation of state (EOS) tables used to calculate the composition of stellar interiors are examined in terms of accuracy by comparing traditional results with those from a method that accounts for the effects of interpolation. Calculations from red-giant evolution and the zero-age main sequence are based on EOS spacings by several authors and suggest that coarse spacings generate a shift in the H-R diagram. The systematic errors can lead to acute imprecision in the calculation of the mixing-length parameter of giant-branch evolutionary tracks. Effective calculations of gross stellar properties can be achieved by employing the 'additive volume' composition-interpolation method. The results suggest the optimal fineness of the spacings in EOS tables so that only errors of an acceptable nature are generated.

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