The 10 and 14-moment maximum-entropy methods are applied to the study of high-Mach-number non-reacting crossflows past a flat plate at large degrees of rarefaction. The moment solutions are compared to particle-based kinetic solutions, showing a varying degree of accuracy. At a Knudsen number of 0.1, the 10-moment method is able to reproduce the shock layer, while it fails to predict the low-density wake region, due to the lack of a heat flux. Conversely, the 14-moment method results in accurate predictions of both regions. At a Knudsen number of 1, the 10-moment method produces unphysical results in both the shock layer and in the wake. The 14-moment method also shows a reduced accuracy, but manages to predict a reasonable shock region, free of unphysical sub-shocks and is in qualitative agreement with the kinetic solution. Accuracy is partially lost in the wake, where the 14-moment method predicts a thin unphysical high-density layer, concentrated on the centerline. An analysis of the velocity distribution functions (VDF) indicates strongly non-Maxwellian shapes and the presence of distinct particle populations, in the wake, crossing each other at the centerline. The particle-based and the 14-moment method VDFs are in qualitative agreement.
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Modeling high-Mach-number rarefied crossflows past a flat plate using the maximum-entropy moment method
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August 2023
Research Article|
August 01 2023
Modeling high-Mach-number rarefied crossflows past a flat plate using the maximum-entropy moment method
Special Collection:
Shock Waves
Stefano Boccelli
;
Stefano Boccelli
a)
(Conceptualization)
1
Department of Mechanical Engineering, University of Ottawa
161 Louis-Pasteur, Ontario K1N 6N5, Canada
a)Author to whom correspondence should be addressed: sboccell@uottawa.ca
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Pietro Parodi
;
Pietro Parodi
(Conceptualization)
2
Department of Mathematics, KU Leuven
Celestijnenlaan 200B, 3001 Leuven, Belgium
3
Aeronautics and Aerospace Department, von Karman Institute for Fluid Dynamics
Waterloosesteenweg 72, B-1640 Sint-Genesius-Rode, Belgium
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Thierry E. Magin
;
Thierry E. Magin
(Conceptualization)
3
Aeronautics and Aerospace Department, von Karman Institute for Fluid Dynamics
Waterloosesteenweg 72, B-1640 Sint-Genesius-Rode, Belgium
4
Aero-Thermo-Mechanics Department, Université libre de Bruxelles
Avenue Franklin Roosevelt 50, 1050 Brussels, Belgium
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James G. McDonald
James G. McDonald
(Conceptualization)
1
Department of Mechanical Engineering, University of Ottawa
161 Louis-Pasteur, Ontario K1N 6N5, Canada
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a)Author to whom correspondence should be addressed: sboccell@uottawa.ca
Physics of Fluids 35, 086102 (2023)
Article history
Received:
May 23 2023
Accepted:
July 13 2023
Citation
Stefano Boccelli, Pietro Parodi, Thierry E. Magin, James G. McDonald; Modeling high-Mach-number rarefied crossflows past a flat plate using the maximum-entropy moment method. Physics of Fluids 1 August 2023; 35 (8): 086102. https://doi.org/10.1063/5.0159432
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