A unified treatment of general fluid thermodynamics and its application to a preconditioning scheme

Hua Meng, Vigor Yang

Research output: Contribution to journalArticlepeer-review

194 Citations (Scopus)

Abstract

A unified treatment of general fluid thermodynamics is developed to handle fluid flows over their entire thermodynamic states. The analysis is based on the concepts of partial-mass and partial-density properties, and accommodates thermodynamic non-idealities and transport anomalies in the transcritical regime. The resultant routine is incorporated into a preconditioning scheme. All the thermophysical properties and numerical Jacobian matrices are derived directly from fundamental thermodynamic theories, rendering a robust algorithm valid for fluid flows at all speeds and at all thermodynamic states. As a specific example, a modified Soave-Redlich-Kwong equation of state is employed to obtain the fluid p-V-T properties. Several test cases concerning supercritical droplet vaporization in both quiescent and convective environments are presented to demonstrate the effectiveness of the present algorithm.

Original languageEnglish
Pages (from-to)277-304
Number of pages28
JournalJournal of Computational Physics
Volume189
Issue number1
DOIs
Publication statusPublished - 2003 Jul 20

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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