Rarefied hypersonic flow simulations using the Navier-Stokes equations with non-equilibrium boundary conditions

Christopher Greenshields, Jason Reese

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper investigates the use of Navier-Stokes-Fourier equations with non-equilibrium boundary conditions (BCs) for simulation of rarefied hypersonic flows. It revisits a largely forgotten derivation of velocity slip and temperature jump by Patterson, based on Grad’s moment method. Mach 10 flow around a cylinder and Mach 12.7 flow over a flat plate are simulated using both computational fluid dynamics using the temperature jump BCs of Patterson and Smoluchowski and the direct simulation Monte-Carlo (DMSC) method. These flow exhibit such strongly non-equilibrium behaviour that, following Patterson’s analysis, they are strictly beyond the range of applicability of the BCs. Nevertheless, the results using Patterson’s temperature jump BC compare quite well with the DSMC and are consistently better than those using the standard Smoluchowski temperature jump BC. One explanation for this better performance is that an assumption made by Patterson, based on the flow being only slightly non-equilibrium, introduces an additional constraint to the resulting BC model in the case of highly non-equilibrium flows.
LanguageEnglish
Pages80-87
JournalProgress in Aerospace Sciences
Volume52
Issue number1
DOIs
Publication statusPublished - Jul 2012

Fingerprint

Hypersonic Flow
Hypersonic flow
Flow simulation
Flow Simulation
Navier Stokes equations
Non-equilibrium
Navier-Stokes Equations
Boundary conditions
Jump
Direct Simulation Monte Carlo
Mach number
Temperature
Moment Method
Flat Plate
Method of moments
Navier-Stokes
Computational Fluid Dynamics
Simulation Methods
Slip
Monte Carlo method

Keywords

  • high-speed flow
  • thermodynamic non-equilibrium
  • boundary conditions
  • compressible flows
  • simulation
  • rarefied gas dynamics
  • temperature-jump
  • velocity slip

Cite this

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Rarefied hypersonic flow simulations using the Navier-Stokes equations with non-equilibrium boundary conditions. / Greenshields, Christopher; Reese, Jason.

In: Progress in Aerospace Sciences, Vol. 52, No. 1, 07.2012, p. 80-87.

Research output: Contribution to journalArticle

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