A robust and accurate numerical method for transcritical turbulent flows at supercritical pressure with an arbitrary equation of state

Soshi Kawai, Hiroshi Terashima, Hideyo Negishi

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

This paper addresses issues in high-fidelity numerical simulations of transcritical turbulent flows at supercritical pressure. The proposed strategy builds on a tabulated look-up table method based on REFPROP database for an accurate estimation of non-linear behaviors of thermodynamic and fluid transport properties at the transcritical conditions. Based on the look-up table method we propose a numerical method that satisfies high-order spatial accuracy, spurious-oscillation-free property, and capability of capturing the abrupt variation in thermodynamic properties across the transcritical contact surface. The method introduces artificial mass diffusivity to the continuity and momentum equations in a physically-consistent manner in order to capture the steep transcritical thermodynamic variations robustly while maintaining spurious-oscillation-free property in the velocity field. The pressure evolution equation is derived from the full compressible Navier-Stokes equations and solved instead of solving the total energy equation to achieve the spurious pressure oscillation free property with an arbitrary equation of state including the present look-up table method. Flow problems with and without physical diffusion are employed for the numerical tests to validate the robustness, accuracy, and consistency of the proposed approach.

Original languageEnglish
Pages (from-to)116-135
Number of pages20
JournalJournal of Computational Physics
Volume300
DOIs
Publication statusPublished - 2015 Nov 1

Keywords

  • High-order accurate schemes
  • Real fluid effects
  • Spurious-oscillation-free property
  • Supercritical fluid
  • Transcritical condition
  • Transcritical contact surface capturing

ASJC Scopus subject areas

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

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