The Accuracy, Consistency, and Speed of an Electron-Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy
Francis Timmes,F. Douglas Swesty +1 more
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TLDR
The choice of a biquintic Hermite polynomial as the interpolating function results in accurately reproducing the underlying Helmholtz free energy data in the table, and yields derivatives of the pressure, specific entropy, and specific internal energy which are smooth and continuous.Abstract:
An electron-positron equation of state based on table interpolation of the Helmholtz free energy is developed and analyzed. The interpolation scheme guarantees perfect thermodynamic consistency, independent of the interpolating function. The choice of a biquintic Hermite polynomial as the interpolating function results in accurately reproducing the underlying Helmholtz free energy data in the table, and yields derivatives of the pressure, specific entropy, and specific internal energy which are smooth and continuous. The execution speed—evaluated across several different machine architectures, compiler options, and modes of operation—suggests that the Helmholtz equation of state routine is faster than any of the five equation of state routines surveyed by Timmes & Arnett. When an optimal balance of accuracy, thermodynamic consistency, and speed is desirable then the tabular Helmholtz equation of state is an excellent choice, particularly for multidimensional models of stellar phenomena.read more
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Modules for Experiments in Stellar Astrophysics (MESA)
Bill Paxton,Lars Bildsten,Aaron Dotter,Aaron Dotter,Falk Herwig,Pierre Lesaffre,Francis Timmes +6 more
TL;DR: Modules for Experiments in Stellar Astrophysics (MESA) as mentioned in this paper is a suite of open source, robust, efficient, thread-safe libraries for a wide range of applications in computational stellar astrophysics.
Journal ArticleDOI
Modules for Experiments in Stellar Astrophysics (MESA): Planets, Oscillations, Rotation, and Massive Stars
Bill Paxton,Matteo Cantiello,Phil Arras,Lars Bildsten,Edward F. Brown,Aaron Dotter,Christopher R. Mankovich,Michael H. Montgomery,Dennis Stello,Francis Timmes,Richard H. D. Townsend +10 more
TL;DR: Modules for Experiments in Stellar Astrophysics (MESA) as discussed by the authors is an open source software package for modeling the evolution of stellar structures and composition. But it is not suitable for large-scale systems such as supernovae.
Journal ArticleDOI
Flash: An adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes
B. Fryxell,K. Olson,Paul M. Ricker,Francis Timmes,Michael Zingale,D. Q. Lamb,Peter MacNeice,Robert Rosner,James W. Truran,Henry M. Tufo +9 more
TL;DR: The first version of a new-generation simulation code, FLASH, solves the fully compressible, reactive hydrodynamic equations and allows for the use of adaptive mesh refinement and contains state-of-the-art modules for the equations of state and thermonuclear reaction networks.
Journal ArticleDOI
The evolution and explosion of massive stars
TL;DR: In this article, the authors examined the current understanding of the lives and deaths of massive stars, with special attention to the relevant nuclear and stellar physics, and focused on their post-helium-burning evolution.
FLASH: Adaptive Mesh Hydrodynamics Code for Modeling Astrophysical Thermonuclear Flashes
Bruce Fryxell,K. Olson,Paul M. Ricker,Frank Timmes,Michael Zingale,D. Q. Lamb,Peter MacNeice,Robert Rosner,J. W. Truran,Henry M. Tufo +9 more
TL;DR: FLASH as discussed by the authors is a new generation simulation code, which solves the fully compressible, reactive hydrodynamic equations and allows for the use of adaptive mesh refinement, and also contains state-of-the-art modules for the equations of state and thermonuclear reaction networks.
References
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