A systematic approach for calibrating the direct simulation Monte Carlo (DSMC) collision model parameters to achieve consistency in the transport processes is presented. The DSMC collision cross section model parameters are calibrated for high temperature atmospheric conditions by matching the collision integrals from DSMC against ab initio based collision integrals that are currently employed in the Langley Aerothermodynamic Upwind Relaxation Algorithm (LAURA) and Data Parallel Line Relaxation (DPLR) high temperature computational fluid dynamics solvers. The DSMC parameter values are computed for the widely used Variable Hard Sphere (VHS) and the Variable Soft Sphere (VSS) models using the collision-specific pairing approach. The recommended best-fit VHS/VSS parameter values are provided over a temperature range of 1000-20 000 K for a thirteen-species ionized air mixture. Use of the VSS model is necessary to achieve consistency in transport processes of ionized gases. The agreement of the VSS model transport properties with the transport properties as determined by the ab initio collision integral fits was found to be within 6% in the entire temperature range, regardless of the composition of the mixture. The recommended model parameter values can be readily applied to any gas mixture involving binary collisional interactions between the chemical species presented for the specified temperature range.
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February 2016
Research Article|
February 01 2016
Recommended direct simulation Monte Carlo collision model parameters for modeling ionized air transport processes
Krishnan Swaminathan-Gopalan;
Krishnan Swaminathan-Gopalan
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, Illinois 61801, USA
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Kelly A. Stephani
Kelly A. Stephani
a)
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, Illinois 61801, USA
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Krishnan Swaminathan-Gopalan
Kelly A. Stephani
a)
Department of Mechanical Science and Engineering,
University of Illinois at Urbana-Champaign
, Urbana, Illinois 61801, USA
a)
Electronic mail: [email protected]
Physics of Fluids 28, 027101 (2016)
Article history
Received:
July 22 2015
Accepted:
December 28 2015
Citation
Krishnan Swaminathan-Gopalan, Kelly A. Stephani; Recommended direct simulation Monte Carlo collision model parameters for modeling ionized air transport processes. Physics of Fluids 1 February 2016; 28 (2): 027101. https://doi.org/10.1063/1.4939719
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