Exact solution for multidimensional compressible reactive flow for verifying numerical algorithms

AIAA Journal

Volumn 44, Issue 2, 2006, Pages 337-344

  Powers, Joseph M ^a,c,d   Aslam, Tariq D ^b,e  

^a UNIVERSITY OF NOTRE DAME   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c Department of Aerospace and Mechanical Engineering ^*  (United States)

^d AIAA   (United States)

^e Detonation Physics Team   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAPMAN-JOUGUET SOLUTIONS; COMPRESSIBLE REACTIVE FLOW; EXOTHERMIC; IRREVERSIBLE; SUPERSONIC IRROTATIONAL FLOW;

ALGORITHMS; COMPUTER SIMULATION; FUNCTIONS; NUMERICAL METHODS; PARAMETER ESTIMATION;

COMPRESSIBLE FLOW;

EID: 33645152736     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.14404     Document Type: Conference Paper

References (24)

1. Roache, P. J., "Quantification of Uncertainty in Computational Fluid Dynamics," Annual Review of Fluid Mechanics, Vol. 29, 1997, pp. 123-160.
2. Oberkampf, W. L., and Trucano, T. G., "Verification and Validation in Computational Fluid Dynamics," Progress in Aerospace Sciences, Vol. 38, No. 3, 2002, pp. 209-272.
3. Roy, C. J., "Review of Code and Solution Verification Procedures for Computational Simulation," Journal of Computational Physics, Vol. 205, No. 1, 2005, pp. 131-156.
4. Hirsch, C., Numerical Computation of Internal and External Flows, Vol. 1, Fundamentals of Numerical Discretization, Wiley, New York, 1988, pp. 267-282.
5. Powers, J. M., and Paolucci, S., "Accurate Spatial Resolution Estimates for Reactive Supersonic Flow with Detailed Chemistry," AIAA Journal, Vol. 43, No. 5, 2005, pp. 1088-1099.
6. Wescott, B. L., Stewart, D. S., and Bdzil, J. B., "On Self-Similarity of Detonation Diffraction," Physics of Fluids, Vol. 16, No. 2, 2004, pp. 373-384.
7. Bdzil, J. B., Aslam, T. D., Catanach, R. A., Hill, L. G., and Short, M., "DSD Front Models: Nonideal Explosive Detonation in ANFO," Twelfth Symposium (International) on Detonation, Office of Naval Research, ONR 333-05-2, Arlington, VA, 2002, pp. 409-417.
8. Oran, E. S., and Sichel, M., "Insights into the Diffraction of Detonation Waves," Computational Fluid Dynamics Journal, Vol. 12, No. 2, 2003, pp. 242-247.
9. Arienti, M., and Shepherd, J. E., "A Numerical Study of Detonation Diffraction," Journal of Fluid Mechanics, Vol. 529, 2005, pp. 117-146.
10. Helzel, C., LeVeque, R. J., and Warnecke, G., "A Modified Fractional Step Method for the Accurate Approximation of Detonation Waves, " SIAM Journal on Scientific Computing, Vol. 22, No. 4, 2000, pp. 1489-1510.
11. Samaras, D. G., "Gas Dynamic Treatment of Exothermic and Endothermic Discontinuities," Canadian Journal of Research A, Vol. 26, No. 1, 1948, pp. 1-21.
12. Gross, R. A., "Oblique Detonation Waves," AIAA Journal, Vol. 1, No. 5, 1963, pp. 1225-1227.
13. Pratt, D. T., Humphrey, J. W., and Glenn, D. E., "Morphology of Standing Oblique Detonation Waves," Journal of Propulsion and Power, Vol. 7, No. 5, 1991, pp. 837-645.
14. Lee, R. S., "A Unified Analysis of Supersonic Nonequilibrium Flow over a Wedge: I. Vibrational Nonequilibrium," AIAA Journal, Vol. 4, No. 1, 1966, pp. 30-37.
15. Powers, J. M., and Stewart, D. S., "Approximate Solutions for Oblique Detonations in the Hypersonic Limit," AIAA Journal, Vol. 30, No. 3, 1992, pp. 726-736.
16. Grismer, M. J., and Powers, J. M., "Comparisons of Numerical Oblique Detonation Solutions with an Asymptotic Benchmark," AIAA Journal, Vol. 30, No. 12, 1992, pp. 2985-2987.
17. Powers, J. M., and Gonthier, K. A., "Reaction Zone Structures for Strong, Weak Overdriven, and Weak Underdriven Oblique Detonations," Physics of Fluids A, Vol. 4, No. 9, 1992, pp. 2082-2089.
18. Grismer, M. J., and Powers, J. M., "Numerical Predictions of Oblique Detonation Stability Boundaries," Shock Waves, Vol. 6, No. 3, 1996, pp. 147-156.
19. Godunov, S. K., "A Difference Scheme for Numerical Computation of Discontinuous Solutions of Hydrodynamic Equations," Matematicheskii Sbornik, Vol. 47, No. 3, 1959, pp. 271-306; English translation in U.S. Joint Publications Research Service, JPRS 7226, 1969.
20. Powers, J. M., and Aslam, T. D., "Exact Solutions for Two-Dimensional Reactive Flow for Verification of Numerical Algorithms," AIAA Paper 2005-1173, Jan. 2005.
21. Corless, R. M., Gonnet, G. H., Hare, D. E. G., Jeffrey, D. J., and Knuth, D. E., "On the Lambert W Function," Advances in Computational Mathematics, Vol. 5, No. 4, 1996, pp. 329-359.
22. Jiang, G. S., and Shu, C. W., "Efficient Implementation of Weighted ENO Schemes," Journal of Computational Physics, Vol. 126, No. 1, 1996, pp. 202-228.
23. Xu, S. J., Aslam, T., and Stewart, D. S., "High Resolution Numerical Simulation of Ideal and Non-Ideal Compressible Reacting Flows with Embedded Internal Boundaries," Combustion Theory and Modelling, Vol. 1, No. 1, 1997, pp. 113-142.
24. Short, M., and Stewart, D. S., "Cellular Detonation Stability. Part 1. A Normal-Mode Linear Analysis," Journal of Fluid Mechanics, Vol. 368, 1998, pp. 229-262.