Review of code validation studies in high-speed low-density flows

Journal of Spacecraft and Rockets

Volumn 37, Issue 1, 2000, Pages 8-20

  Harvey, John K ^a   Gallis, Michael A ^a,b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHEMICAL REACTIONS; COMPUTER SIMULATION; DENSITY (SPECIFIC GRAVITY); ELECTRON ENERGY LEVELS; ENTHALPY; ENTROPY; IONIZATION; MOLECULAR DYNAMICS; MONTE CARLO METHODS; PROTONS;

BOLTZMANN EQUATION; CODE VALIDATION; DIRECT SIMULATION MONTE CARLO METHOD; HIGH SPEED LOW DENSITY FLOWS; RAREFIED FLOWS;

HYPERSONIC FLOW;

EID: 0033888862     PISSN: 00224650     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.3544     Document Type: Article

References (42)

1. Bird, G. A., "Direct Simulation of the Boltzmann Equation," Physics of Fluids, Vol. 13, No. 11, 1970, p. 2676.
2. Wagner, W., "A Convergence Proof for Bird's Direct Simulation Monte Carlo Method for the Boltzmann Equation," Akademie der Wissenschaften der DDR, P-Math-223-90, Berlin, July 1990.
3. Chapman, S., and Cowling, T. G., The Mathematical Theory of Non-Uniform Gases, Cambridge Univ. Press, Cambridge, England, U.K., 1972, pp. 46-68.
4. Bird, G. A., Molecular Gas Dynamics and the Direct Simulation of Gas Flows, Clarendon, Oxford, 1994, pp. 104-112, 203-216.
5. Macrossan, M. N., "Diatomic Collision Models Used in the Direct Simulation Monte Carlo Method Applied to Rarefied Hypersonic Flows," Ph.D. Dissertation, Imperial College, Univ. of London, London, Sept. 1983, Chaps. 4 and 5.
6. Bird, G. A., "Simulation of Multi-Dimensional and Chemically Reacting Flows," Rarefied Gas Dynamics, 11th Symposium, edited by R. Campargue, Commissariat à l'Energie Atomique, Paris, 1979, pp. 365-388.
7. Koura, K. and Matsumoto, H., "Variable Soft Sphere Molecular Model for Inverse-Power-Law or Lennard Jones Potential," Physics of Fluids A, Vol. 3, No. 10, 1991, pp. 2459-2465.
8. Borgnakke, C., and Larsen P. S., "Statistical Collision Model for Monte Carlo Simulation of Polyatomic Gas Mixtures," Journal of Computational Physics, Vol. 18, No. 405, 1975, pp. 405-420.
9. Gallis, M A., and Harvey, J. K., "The Modelling of Chemical Reactions and Thermochemical Non-Equilibrium in Particle Simulation Computations," Physics of Fluids, Vol. 10, No. 6, 1998, pp. 1344-1358.
10. Muntz, E. P., "The Electron Beam Fluorescence Technique," AGARDograph 132, Dec. 1968.
11. Alsmeyes, H., "Density Profiles in Argon and Nitrogen Shock Waves Measured by he Absorption of Electron Beams," Journal of Fluid Mechanics, Vol. 74, Pt. 3, 1976, pp. 497-513.
12. Robbens, F., and Talbot, L., "Measurement of the Rotational Distribution Function of Nitrogen in a Shock Wave," Physics of Fluids, Vol. 9, No. 4, 1966, pp. 653-662.
13. Hickman, R. S., "An Experimental Study of Hypersonic Rarefied Flow over a 10° Cone," Rarefied Gas Dynamics, edited by C. Brundin, Academic, New York, 1967, pp. 1067-1085.
14. Davis, J., and Harvey, J. K., "Comparison of the Direct Simulated Method with Experiment for Rarefied Flat Plate Flow," Rarefied Gas Dynamics, Pt. 1, edited by L. Potter, Vol. 51, Progress in Astronautics and Aeronautics, AIAA, New York, 1977, pp. 335-347.
15. Pham-Van-Diep, G. C., Erwin, D. A., and Muntz, E. P., "Testing Continuum Descriptions of Low Mach Number Shock Structures," Journal of Fluid Mechanics, Vol. 232, Nov. 1991, pp. 403-413.
16. Erwin, D. A., Pham-Van-Diep, G. C., and Muntz, E. P., "Nonequilibrium Gas Flow: 1: A Detailed Validation of the Monte Carlo Direct Simulation for Monatomic Gases," Physics of Fluids A, Vol. 3, No. 4, 1991, pp. 697-705.
17. Maitland, G. C., Rigby, M., Smith, J., and Wakeham, W. A., Intermolecular Forces: Their Origin and Determination, Clarendon, Oxford, 1981, p. 534.
18. Gmurczyk, A. S., Tarczynski, M., and Walenta, Z. A., "Shock Wave Structure in the Binary Mixtures of Gases with Disparate Molecular Masses," Rarefied Gas Dynamics, edited by R. Campargue, Commissariat á l'Energie Atomique, Paris, 1979, pp. 333-341.
19. Matsumoto, H., and Koura, K., "Monte Carlo Simulations of the Normal Shock Wave in Binary Gas Mixtures Using the Variable Soft Sphere Molecular Model," Rarefied Gas Dynamics, edited by B. D. Shizgal and D. P. Weaver, Vol. 158, Progress in Astronautics and Aeronautics, AIAA, Washington, DC, 1992, pp. 38-47.
20. Macrossan, M. N., "Diatomic Collision Models Used in the Monte-Carlo Direct Simulation Method Applied to Rarefied Hypersonic Flows," Ph.D. Dissertation, Imperial College, London Univ., London, Sept. 1983, pp. 139-156.
21. Nanbu, K., and Watanabe, Y., "Analysis of the Internal Structure of Shock Waves by Means of the Exact Direct-Simulation Method," Rarefied Gas Dynamics, edited by H. Oguchi, Univ. of Tokyo Press, Tokyo, 1984, pp. 183-190.
22. Wysong, J. I., and Campbell, D. H., "Laser-Induced Fluorescence Measurements of Supersonic Expansion Flow and Comparisons with Direct Simulation Monte Carlo Calculations," Rarefied Gas Dynamics, edited by B. D. Shizgal and D. P. Weaver, Vol. 158. Progress in Astronautics and Aeronautics, AIAA, Washington, DC, 1992, pp. 413-423.
23. Weaver, D. P., Muntz, E. P., and Campbell, D. H., "Direct Simulation Monte Carlo Calculations Compared with Sonic Orifice Expansion Flows of Argon and Nitrogen," Rarefied Gas Dynamics, edited by B. D. Shizgal and D. P. Weaver, Vol. 158, Progress in Astronautics and Aeronautics, AIAA, Washington, DC, 1992, pp. 98-108.
24. Vogenitz, F. W., Broadwell, J. E., and Bird, G. A., "Leading Edge Flow Simulation by the Monte Carlo Direct Simulation Technique," AIAA Journal, Vol. 8, No. 3, 1969, pp. 504-510.
25. Vogenitz, R. W., and Takata, G. Y., "Rarefied Hypersonic Flow About Cones and Flat Plates by Monte Carlo Simulation," AIAA Paper 69-651, Jan. 1969.
26. Pullin, D. I., "Kinetic Models for Polyatomic Molecules with Phenomenological Energy Exchange," Physics of Fluids, Vol. 21, No. 2, 1978, pp. 209-216.
27. Coron, F., and Harvey, J. K., "Synopsis for the Test Case 6 - Rarefied 70° Spherically Blunted Cone," 2nd European Symposium on Aerothermodynamics for Space Vehicles and 4th European High-Velocity Database Workshop, European Space Research and Technology Centre, Noordwijk, The Netherlands, Nov. 1994.
28. Moss, J. N., and Price, J. M., "Review of Blunt Body Wake Flows at Hypersonic Low Density Conditions," AIAA Paper 96-1803, June 1996.
29. 2nd European Symposium on Aerothermodynamics for Space Vehicles and 4th European High-Velocity Database Workshop, European Space Research and Technology Centre, Noordwijk, The Netherlands, Nov. 1994.
30. Holden, M. S., Harvey, J. K., Boyd, I. D., George, J., and Horvath, T., "Experimental and Computational Studies of the Flow over a Sting Mounted Planetary Probe Configuration," AIAA Paper 97-0768, Jan. 1997.
31. Harvey, J. K., Celenligil, M. C., Dominy, R. G., and Gilmore, M. R., "A Flat Ended Circular Cylinder in Hypersonic Rarefied Flow," Journal of Thermophysics and Heat Transfer, Vol. 6, No. 1, 1992, pp. 35-43.
32. Davis, J., Dominy, R. G., Harvey, J. K., and Macrossan, M. N., "An Evaluation of Some Collision Models Used for Monte Carlo Calculations of Diatomic Rarefied Hypersonic Flows," Journal of Fluid Mechanics, Vol. 135, Oct. 1983, pp. 355-371.
33. Dominy, R. G., "Rarefied Hypersonic Shock Wave and Blunt Body Flows," Ph.D. Dissertation, Imperial College, Univ. of London, London, Sept. 1987, p. 145.
34. Koura, K., "Monte Carlo Simulations of Rarefied Nitrogen Gases Contained Between Parallel Plates Using Statistical Inelastic Cross-Section Models," Journal of the Physical Society of Japan, Vol. 62, No. 11, 1993, pp. 3874-3880.
35. Moss, J. N., Gupta, R. N., and Price, J. M., "DSMC Simulations of OREX Entry Conditions," Rarefied Gas Dynamics, Peking Univ. Press, Beijing, 1996, pp. 459-464.
36. Rault, D. F. G., "Aerodynamics of Shuttle Orbiter at High Altitude," AIAA Paper 93-2815, July 1993.
37. Boyd, I. D., Candler, G. V., and Levin, D. A., "Dissociation Modelling in the Low Density Hypersonic Flow of Air," Physics of Fluids, Vol. 7, No. 7, 1995, pp. 1757-1763.
38. Gallis, M. A., and Harvey, J. K., "Radiation from Air Shock Layers with Chemical and Ionizing Reactions," Shock Waves at Marseille II, edited by R. Brun and L. Z. Dumitrescu, Springer-Verlag, Berlin, 1995.
39. Allen, R. A., Rose, P. H., and Camm, J. C., "Non-Equilibrium and Equilibrium Radiation at Super Satellite Re-Entry Velocities," Avco Everett Research Lab., Research Rept. 156, 1962; also Avco Everett Research Lab., Research Note 561, Everett, MA, 1965.
40. Park, C., Nonequilibrium Hypersonic Aerothermodynamics, Wiley, New York, 1990, p. 326.
41. Wadsworth, D. C., and Wysong, I. J., "Examination of the DSMC Chemistry Models; Role of Vibrational Favouring," Rarefied Gas Dynamics, Peking Univ. Press, Beijing, 1996, pp. 174-179.
42. Gallis, M. A., and Harvey, J. K., "The Modelling of Chemical Reactions and Thermochemical Non-Equilibrium in Particle Simulation Computations," Physics of Fluids, Vol. 10, No. 6, 1998, pp. 1344-1358.