Comparison Of Shock Structure Solutions Using Independent Continuum And Kinetic Theory Approaches

Kurt A. Fiscko; Dean R. Chapman

doi:10.1117/12.943986

18 May 1988 Comparison Of Shock Structure Solutions Using Independent Continuum And Kinetic Theory Approaches

Kurt A. Fiscko, Dean R. Chapman

Proceedings Volume 0879, Sensing, Discrimination, and Signal Processing and Superconducting Materials and Intrumentation; (1988) https://doi.org/10.1117/12.943986
Event: 1988 Los Angeles Symposium: O-E/LASE '88, 1988, Los Angeles, CA, United States

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.

Citation Download Citation

Kurt A. Fiscko and Dean R. Chapman "Comparison Of Shock Structure Solutions Using Independent Continuum And Kinetic Theory Approaches", Proc. SPIE 0879, Sensing, Discrimination, and Signal Processing and Superconducting Materials and Intrumentation, (18 May 1988); https://doi.org/10.1117/12.943986

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