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Proceedings Paper

Comparison Of Shock Structure Solutions Using Independent Continuum And Kinetic Theory Approaches
Author(s): Kurt A. Fiscko; Dean R. Chapman
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Paper Abstract

One-dimensional shock structure is investigated for various monatomic gases from Mach 1.4 to Mach 35. Kinetic theory solutions are computed using the Direct Simulation Monte Carlo method. Steady-state solutions of the Navier-Stokes equations and of a slightly truncated form of the Burnett equations, termed the "Burnett(-)" equations, are determined by relaxation to a steady state of the time-dependent continuum equations. Monte carlo results are in excellent agreement with published experimental data, and are used as bases of comparison for continuum solutions. For a Maxwellian gas the Burnett(-) equations are shown to produce far more accurate solutions of shock structure than the Navier-Stokes equations.

Paper Details

Date Published: 18 May 1988
PDF: 10 pages
Proc. SPIE 0879, Sensing, Discrimination, and Signal Processing and Superconducting Materials and Intrumentation, (18 May 1988); doi: 10.1117/12.943986
Show Author Affiliations
Kurt A. Fiscko, U.S. Army and Stanford University (United States)
Dean R. Chapman, Stanford University (United States)

Published in SPIE Proceedings Vol. 0879:
Sensing, Discrimination, and Signal Processing and Superconducting Materials and Intrumentation
James A. Ionson; Roy Nichols, Editor(s)

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