Breakdown parameter for kinetic modeling of multiscale gas flows

Jian-Ping Meng, Nishanth Dongari, Jason Reese, Yonghao Zhang

Research output: Contribution to journalArticle

9 Citations (Scopus)
35 Downloads (Pure)

Abstract

Multiscale methods built purely on the kinetic theory of gases provide information about the molecular velocity distribution function. It is therefore both important and feasible to establish new breakdown parameters for assessing the appropriateness of a fluid description at the continuum level by utilizing kinetic information rather than macroscopic flow quantities alone. We propose a new kinetic criterion to indirectly assess the errors introduced by a continuum-level description of the gas flow. The analysis, which includes numerical demonstrations, focuses on the validity of the Navier-Stokes-Fourier equations and corresponding kinetic models and reveals that the new criterion can consistently indicate the validity of continuum-level modeling in both low-speed and high-speed flows at different Knudsen numbers.
Original languageEnglish
Article number063305
Number of pages9
JournalPhysical Review E
Volume89
Issue number6
DOIs
Publication statusPublished - 13 Jun 2014

Keywords

  • kinetic modelling
  • breakdown parameters
  • multiscale gas flows
  • Navier-Stokes-Fourier equations

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