%0 Journal Article %1 0067-0049-126-2-501 %A Timmes, F. X. %A Swesty, F. Douglas %D 2000 %J The Astrophysical Journal Supplement Series %K 2000 Helmholtz Hermite equation-of-state interpolation software %N 2 %P 501 %R 10.1086/313304 %T The Accuracy, Consistency, and Speed of an Electron-Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy %U http://dx.doi.org/10.1086/313304 %V 126 %X 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.

@article{0067-0049-126-2-501, 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.}, added-at = {2012-11-30T17:45:58.000+0100}, author = {Timmes, F. X. and Swesty, F. Douglas}, biburl = {https://www.bibsonomy.org/bibtex/29cae3879df3ac6382f7d16adf1230bd0/thorade}, description = {The Accuracy, Consistency, and Speed of an Electron-Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy - Abstract - The Astrophysical Journal Supplement Series - IOPscience}, doi = {10.1086/313304}, interhash = {e0dde3650b51df7160a8c8febfa0d0f4}, intrahash = {9cae3879df3ac6382f7d16adf1230bd0}, journal = {The Astrophysical Journal Supplement Series}, keywords = {2000 Helmholtz Hermite equation-of-state interpolation software}, number = 2, pages = 501, timestamp = {2012-11-30T17:47:06.000+0100}, title = {The Accuracy, Consistency, and Speed of an Electron-Positron Equation of State Based on Table Interpolation of the Helmholtz Free Energy}, url = {http://dx.doi.org/10.1086/313304}, volume = 126, year = 2000 }