Thermodynamically consistent interpolation for equation of state tables
type: Item
instance of: scholarly article
title: Thermodynamically consistent interpolation for equation of state tables
zbMATH Open document ID: 0859.76055
author: F. Douglas Swesty
published in: Journal of Computational Physics
publication date: 1997-04-15T00:00:00Z
review text: We present a method for constructing a thermodynamically consistent bi-quintic interpolation scheme that permits the construction of accurate equation of state (EOS) tables. Thermodynamic consistency requires the first law of thermodynamics to be satisfied exactly, i.e., that the pressure and entropy must satisfy the appropriate Maxwell relations. Furthermore, the pressure and internal energy must satisfy their definitions in terms of the derivatives of the Helmholtz free energy. This formalism can be extended to the case where the EOS is a function of chemical composition variables as well as density and temperature.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 80M99
zbMATH DE Number: 938012
zbMATH Keywords: bi-quintic interpolation scheme
zbMATH Keywords: first law of thermodynamics
zbMATH Keywords: pressure
zbMATH Keywords: entropy
zbMATH Keywords: Maxwell relations
zbMATH Keywords: Helmholtz free energy
zbMATH Keywords: chemical composition variables
describes a project that uses: pchip
MaRDI profile type: Publication
full work available at URL: jcph.1996.0162
OpenAlex ID: W2001867587
DOI: 10.1006/JCPH.1996.0162
description: scientific article; zbMATH DE number 938012