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arXiv · 1501.01923

On the Piecewise Parabolic Method for Compressible Flow with Stellar Equations of State

M. Zingale·M. P. Katz
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Abstract

The piecewise parabolic method and related schemes are widely used to model stellar flows. Several different methods for extending the validity of these methods to a general equation of state have been proposed over time, but direct comparisons amongst one-another and exact solutions with stellar equations of state are not widely available. We introduce some simple test problems with exact solutions run with a popular stellar equation of state and test how two existing codes with different approaches to incorporating general gases perform. The source code for generating the exact solutions is made available.

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M. Zingale, M. P. Katz. 2015-01-08. On the Piecewise Parabolic Method for Compressible Flow with Stellar Equations of State. https://doi.org/10.1088/0067-0049%2F216%2F2%2F31

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