Application of the MCMC Method for the Calibration of DSMC Parameters

Journal Article · Fri May 20 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3562671· OSTI ID:21511585

Strand, James S; Goldstein, David B ^[1]

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1. Aerospace Eng. Dept., 1 University Station, C0600, University of Texas at Austin, Austin, TX, 78712 (United States)

A Markov Chain Monte Carlo (MCMC) algorithm was employed to obtain a calibrated distribution for the hard sphere diameter, the VHS reference diameter, and the temperature viscosity exponent of argon, for use in the Direct Simulation Monte Carlo (DSMC) method. Shock-tube experiments from Alsmeyer [1] were used to provide the necessary calibration data for use in the MCMC method. The DSMC method used in this work employs the algorithm of Bird [2], with modifications to allow for the efficient simulation of a 1D shock. When calibrating for the hard sphere diameter (the temperature viscosity exponent is set to 0.5 for the hard sphere method), the results of the MCMC method agree with a simple brute-force method, and a single value for the hard-sphere diameter is obtained. For the VHS method, however, when simultaneously calibrating the VHS reference diameter and the temperature viscosity exponent, we find that normalized density data alone does not provide sufficient information to obtain a single solution for both parameters. Instead we find a band in parameter space where acceptable solutions are obtained.

• OSTI ID: 21511585
• Journal Information: AIP Conference Proceedings, Vol. 1333, Issue 1; Conference: 27. international symposium on rarefied gas dynamics, Pacific Grove, CA (United States), 10-15 Jul 2010; Other Information: DOI: 10.1063/1.3562671; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ARGON
CALIBRATION
DENSITY
DISTRIBUTION
MARKOV PROCESS
MATHEMATICAL SOLUTIONS
MODIFICATIONS
MONTE CARLO METHOD
SHOCK TUBES
SIMULATION
SPACE
VISCOSITY
CALCULATION METHODS
ELEMENTS
FLUIDS
GASES
MATHEMATICAL LOGIC
NONMETALS
PHYSICAL PROPERTIES
RARE GASES
STOCHASTIC PROCESSES