The accuracy, consistency, and speed of five equations of state for stellar hydrodynamics

Francis Timmes, Dave Arnett

Research output: Contribution to journalArticle

124 Citations (Scopus)

Abstract

We compare the thermodynamic properties and execution speed of five independent equations of state. A wide range of temperatures, densities, and compositions are considered - conditions appropriate for modeling the collapse of a cloud of hydrogen gas (or an exploding supernova) to the outer layers of a neutron star. The pressures and specific thermal energies calculated by each equation-of-state routine are reasonably accurate (typically 0.1% error or less) and agree remarkably well with each other, despite the different approaches and approximations used in each routine. The derivatives of the pressure and specific thermal energies with respect to the temperature and density generally show less accuracy (typically 1% error or less) and more disagreement with one another. Thermodynamic consistency, as measured by deviations from the appropriate Maxwell relations, shows that the Timmes equation of state and the Nadyozhin equation of state achieve thermodynamic consistency to a high degree of precision. The execution speed of the five equation-of-state routines - evaluated across several different machine architectures, compiler options, and modes of operation - differ dramatically. The Arnett equation of state is the fastest of the five routines, with the Nadyozhin equation of state close behind.

Original languageEnglish (US)
Pages (from-to)277-294
Number of pages18
JournalAstrophysical Journal, Supplement Series
Volume125
Issue number1
DOIs
StatePublished - Nov 1999
Externally publishedYes

Fingerprint

equation of state
equations of state
hydrodynamics
thermal energy
thermodynamics
compilers
thermodynamic property
speed
neutron stars
supernovae
energy
thermodynamic properties
temperature
hydrogen
deviation
approximation
gases
gas
modeling

Keywords

  • Equation of state
  • Hydrodynamics
  • Methods : numerical
  • Stars : general
  • Stars: interiors

ASJC Scopus subject areas

  • Space and Planetary Science

Cite this

The accuracy, consistency, and speed of five equations of state for stellar hydrodynamics. / Timmes, Francis; Arnett, Dave.

In: Astrophysical Journal, Supplement Series, Vol. 125, No. 1, 11.1999, p. 277-294.

Research output: Contribution to journalArticle

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