Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-19T03:12:34.971Z Has data issue: false hasContentIssue false
  • English
  • Français

Modelling Rarefied Hypersonic Reactive Flows Using the Direct Simulation Monte Carlo Method

Part of: Rarefied gas flows, Boltzmann equation

Published online by Cambridge University Press:  15 October 2015

Ming-Chung Lo ,
Cheng-Chin Su ,
Jong-Shinn Wu  and
Kun-Chang Tseng
Ming-Chung Lo
Affiliation:
Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan
Cheng-Chin Su
Affiliation:
Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan
Jong-Shinn Wu*
Affiliation:
Department of Mechanical Engineering, National Chiao Tung University, 1001 Ta-Hsueh Road, Hsinchu 30010, Taiwan
Kun-Chang Tseng
Affiliation:
National Space Organisation, National Applied Research Laboratories, Hsinchu 30010, Taiwan
*
*Corresponding author. Email addresses: [email protected] (M.-C. Lo), [email protected] (C.-C. Su), [email protected] (J.-S. Wu), [email protected] (K.-C. Tseng)
Get access

Abstract

This paper presents the implementation, validation and application of TCE (total collision energy) model for simulating hypersonic reactive flows in a parallel direct simulation Monte Carlo code, named PDSC++, using an unstructured grid. A series of benchmarking test cases, which include reproduction of theoretical rate constants in a single cell, 2D hypersonic flow past a cylinder and 2D-axisymmetric hypersonic flow past a sphere, were performed to validate the implementation. Finally, detailed aerothermodynamics of the flown reentry Apollo 6 Command Module at 105 km is simulated to demonstrate the powerful capability of the PDSC++ in treating realistic hypersonic reactive flow at high altitude.

Keywords

DSMCchemistrynon-equilibriumTCE (total collision energy)hypersonic

MSC classification

Secondary: 76P05: Rarefied gas flows, Boltzmann equation
Type
Research Article
Information
Communications in Computational Physics , Volume 18 , Issue 4 , October 2015 , pp. 1095 - 1121
Copyright
Copyright © Global-Science Press 2015 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1]McIntyre, T., Beck, W. and Lacey, J., The high enthalpy shock tunnel in Gottingen, AIAA Pap. No. 39-42, 1992.Google Scholar
[2]Eitelberg, G., First result of calibration and use of the HEG, AIAA Pap. No. 94-2525, 1994.Google Scholar
[3]Holden, M., Recent advances in hypersonic test facilities and experimental research, AIAA Pap. No. 93-5005, 1993.Google Scholar
[4]Weihs, H., Longo, J. and Turner, J., The Sharp Edge Flight Experiment SHEFEX II, a mission overview and status, AIAA Paper 2008-2542, 2008.Google Scholar
[5]Muylaert, J., Walpot, L., Ottens, H. and Cipollini, F., Aerothermodynamic Reentry Flight Experiment EXPERT, RTO-EN-AVT-130-13, 2007.Google Scholar
[6]Wu, J.-S. and Lian, Y.-Y., Parallel three-dimensional direct simulation Monte Carlo method and its applications, Computers & Fluids, 32 (2003), 1133–1160.Google Scholar
[7]Wu, J.-S., Tseng, K.-C., and Wu, F.-Y., Parallel three-dimensional DSMC method using mesh refinement and variable time-step scheme, Journal of Computer Physics Communications, 162 (2004), 166–187.Google Scholar
[8]Su, C.-C., Tseng, K.-C., Cave, H. M., Wu, J.-S., Lian, Y.-Y., Kuo, T.-C. and Jermy, M. C., Implementation of a transient adaptive sub-cell module for the parallel-DSMC code using unstructured grids, Computers & Fluids, 39 (2010), 1136–1145.Google Scholar
[9]Bird, G. A., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon Press, Oxford, 1994.Google Scholar
[10]Wagner, W., A convergence proof for bird’s direct simulation Monte Carlo method for the Boltzmann equation, Journal of Statistical Physics, 66 (1992), 1011–1044.CrossRefGoogle Scholar
[11]LeBeau, G. J. and Lumpkin, F. E. Iii, Application highlights of the DSMC Analysis Code (DAC) software for simulating rarefied flows, Computer Methods in Applied Mechanics and Engineering, 191(6) (2001), 595–609.Google Scholar
[12]Boyd, I. D., Vectorization of a Monte Carlo simulation scheme for nonequilibrium gas dynamics, Journal of Computational Physics, 96(2) (1991), 411–427.Google Scholar
[13]Ivanov, M., Markelov, G., Taylor, S., Watts, J., Parallel DSMC strategies for 3D computations, Proceedings of the Parallel CFD, 96 (1997), 485–492.Google Scholar
[14]Boyd, I. D., Analysis of vibration-dissociation-recombination processes behind strong shock waves of nitrogen, Physics of Fluids A: Fluid Dynamics (1989-1993), 4(1) (1992), 178–185.CrossRefGoogle Scholar
[15]Borgnakke, C. and Larsen, P. S., Statistical collision model for Monte Carlo simulation of polyatomic gas mixture, Journal of Computational Physics, 18 (1975), 405–420.CrossRefGoogle Scholar
[16]Wu, J.-S. and Tseng, K.-C., Parallel DSMC method using dynamic domain decomposition, International Journal for Numerical Methods in Engineering, 63 (2005), 37–76.Google Scholar
[17]Kannenberg, K. C. and Boyd, I. D., Strategies for efficient particle resolution in the direct simulation Monte Carlo method, Journal of Computational Physics, 157(2) (2000), 727–745.Google Scholar
[18]Bird, G. A., The DS2V/3V program suite for DSMC calculations, in Rarefied Gas Dynamics: Proceedings of the 24th International Symposium on Rarefied Gas Dynamics, edited by Capitelli, M., AIP Conference Proceedings, 762, Melville, NY (2005), 541–546.Google Scholar
[19]Tseng, K.-C., Wu, J.-S. and Boyd, I. D., Simulations of re-entry vehicles by using DSMC with chemical-reaction module, 14th AIAA/AHI Space Planes and Hypersonic Systems and Technologies Conference, 2006.Google Scholar
[20]Vincenti, W. G. and Kruger, C. H., Introduction to Physical Gas Dynamics, Wiley, New York, 1965.Google Scholar
[21]Bird, G. A., A comparison of collision energy-based and temperature-based procedures in DSMC, AIP Conference Proceedings, 1084(1) (2008), 245–250.Google Scholar
[22]Millikan, R. C. and White, D. R., Systematics of vibrational relaxation, Journal of Chemical Physics, 39(12) (1963), 3209–3213.Google Scholar
[23]Haas, B. L. and McDonald, J. D., Validation of chemistry models employed in a particle simulation method, Journal of Thermophysics and Heat Transfer, 7(1) (1993), 595–609.Google Scholar
[24]Thomas, J. S., Craig, W., Matthew, K. B., Rodrigo, C. P., Erin, F., Iain, D. B., Jason, M. R. and Richard, E. B., Open source DSMC chemistry modelling for hypersonic flows, AIAA Journal. ISSN 0001-1452 (Submitted) http://strathprints.strath.ac.uk/46619/.Google Scholar
[25]Bird, G. A., Sophisticated versus simple DSMC, in Proceedings of the 25th International Symposium on Rarefied Gas Dynamics (RGD25), 2006.Google Scholar
[26]Gallis, M. A., Torczynski, J. R., Rader, D. J., Bird, G. A., Accuracy and convergence of a new DSMC algorithm, 40th AIAA Thermophysics Conference, AIAA, Vol. 2913, 2008.Google Scholar
[27]Dogra, V. K., Wilmoth, R. G. and Moss, J. N., Aerothermodynamics of a 1.6-meter-diameter sphere in hypersonic rarefied flow, AIAA Journal, 30(7) (1992), 1789-1794.Google Scholar
[28]Moss, J., Glass, C. and Greene, F., DSMC simulations of Apollo capsule aerodynamics for hypersonic rarefied conditions, AIAA Paper 2006-3577, 2006.Google Scholar