Direct calculations of one-, two-, and three-dimensional detonations by the CESE method

43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers

Volumn , Issue , 2005, Pages 6155-6169

  He, Hao ^a,c   Yu, S T John ^a,c   Zhang, Zeng Chan ^b,c  

^a The Ohio State University   (United States)

^b LIVERMORE SOFTWARE TECHNOLOGY CORPORATION   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW OF FLUIDS; NATURAL FREQUENCIES; SHOCK WAVES; VOLUMETRIC ANALYSIS;

DETONATION PROPAGATION; FLOW CONDITIONS; FLOW STRUCTURE;

DETONATION;

EID: 30744434131     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-229     Document Type: Conference Paper

References (28)

1. Fickett, W. and Davis, W. C., Detonation, University of California Press, Berkeley, California, 1979, pp. 13-15, 42-51.
2. Fickett, W. and Wood W. W., "Flow Calculations for Pulsating One-Dimensional Detonations," Physics of Fluids, Vol. 9, No. 3, 1966, pp. 903-916.
3. Taki, S. and Fujiwara, T., "Numerical Analysis of Two Dimensional Nonsteady Detonations," AIAA Journal, Vol. 16, No.1, 1978, pp. 73-77.
4. Oran, E., Young, T. and Boris, J., "Application of Time-Dependent Numerical Methods to the Description of Reactive Shocks," Proceedings of the Combustion Institute, Vol. 17, 1978, pp. 43-54.
5. Kailasanath, K., Oran, E. S., Boris, J. P., and Young, T. R., "Determination of Detonation Cell Size and the Role of Transverse Waves in Two-Dimensional Detonations," Combustion and Flame, Vol. 61, 1985, pp. 199-209.
6. Gamezo, V. N., Desbordes, D., and Oran, E. S., "Formation and Evolution of Two-dimensional Cellular Detonations," Combustion and Flame, Vol. 116, 1999, pp. 154-165.
7. Bourlioux, A. and Majda, A. J., "Theoretical and Numerical Structure of Unstable Detonations," Philosophical Transactions of the Royal Society of London, Series A, Vol. 350, 1995, pp. 29-68.
8. Papalexandris, M. V., "Unsplit Numerical Schemes for Hyperbolic Systems of Conservation Laws with Source Terms," Ph.D. Thesis, California Institute of Technology, 1997.
9. Fujiwara, T. and Reddy, K. V., "Propagation Mechanism of Detonation - Three-Dimensional Phenomena," Memoirs of the School of Engineering, Nagoya University, Vol. 41, No. 1, 1989, pp.93-111.
10. Williams, D. N., Bauwens, L., and Oran, E. S., "Detailed Structure and Propagation of Three-Dimensional Detonations," Proceedings of the Combustion Institute, Vol. 26, 1996, pp. 2991-2998.
11. Zhang, Z. C., Yu, S. T. J., He, H., and Chang, S. C., "Direct Calculations of Two- and Three-Dimensional Detonations by an Extended CE/SE Method," AIAA Paper 2001-0476, Jan. 2001.
12. He, H., Zhang, Z. C., Yu, S. T. J., and Chang, S. C., "Three-Dimensional Simulations of Detonations by the CE/SE Method Using a Low-Cost Beowulf Cluster," AIAA Paper 2001-0140, Jan. 2001.
13. Tsuboi, N., Katoh, S., and Hayashi, A. K., "Three-Dimensional Numerical Simulation for Hydrogen/Air Detonation: Rectangular and Diagonal Structures," Proceedings of the Combustion Institute, Vol. 29, 2002, pp. 2783-2788.
14. Chang, S.-C., "The Method of Space-Time Conservation Element and Solution Element - A New Approach for Solving the Navier-Stokes and Euler Equations," Journal of Computational Physics, Vol. 119, 1995, pp.295-324.
15. Chang, S. C., Wang, X. Y., and Chow, C. Y., "The Space-Time Conservation Element and Solution Element Method: A New High-Resolution and Genuinely Multidimensional Paradigm for Solving Conservation Laws," Journal of Computational Physics, Vol. 156, 1999, pp. 89-136.
16. Wang, X. Y., and Chang, S. C., "A 2D Non-Splitting Unstructured Triangular Mesh Euler Solver Based on the Space-Time Conservation Element and Solution Element Method," Computational Fluid Dynamics Journal, Vol. 8, 1999, pp. 309-325.
17. Zhang, Z.-C., Yu, S.-T. J., and Chang, S.-C., "A Space-Time Conservation Element and Solution Element Method for Solving the Two- and Three-Dimensional Unsteady Euler Equations Using Quadrilateral and Hexahedral Meshes," Journal of Computational Physics, Vol. 175, 2002, pp. 168-199.
18. Chang, S. C., Himansu, A., Loh, C. Y., Wang, X. Y., and Yu, S. T., "Robust and Simple Non-Reflecting Boundary Conditions for the Euler Equations - A New Approach Based on the Space-Time CE/SE Method," NASA Technical Report TM-2003-212495, 2003.
19. Yu, S. T. and Chang, S. C., "Treatments of Stiff Source Terms in Conservation Laws by the Method of Space-Time Conservation Element and Solution Element," AIAA Paper 97-0435, 1997.
20. st edition, McGraw-Hill Book Co., New York, 1974, pp. 195-202.
21. Shuen, S. and Yoon, S., "Numerical Study of Chemically Reacting Flows Using a Lower-Upper Symmetric Successive Overrelaxation Scheme," AIAA Journal, Vol. 27, 1989, pp. 1752-1760.
22. Chitsomboon, T., Kumar, A., and Tiwari, S. N., "Numerical Study of Finite-Rate Supersonic Combustion Using Parabolized Equations," AIAA Paper 87-0088, 1987.
23. Shinn, J. L., Yee, H. C., and Uenishi, K., "Extension of a Semi-Implicit Shock Capturing Scheme for Three-Dimensional Fully Coupled Chemically Reactive Flows in Generalized Coordinate Systems," AIAA Paper 87-1577, 1987.
24. Korobeinikov, V. P., Levin, V. A., Markov, V. V., and Chernyi, G. G., "Propagation of Blast Wave in a Combustible Gas," Astronautica Acta, Vol. 17 (1972) pp. 529-537.
25. Strehlow, R. A., "Multi-Dimensional Detonation Wave Structure, " Astronautica Acta, Vol. 15, 1970, pp. 345-357.
26. Guirao, C. M., Knystautas, R., Lee, J. H., Benedick, W. and Berman, M., "Hydrogen-Air Detonations," Proceedings of the Combustion Institute, Vol. 19, 1982, pp. 583-590.
27. Kaneshige, M. and Shepherd, J. E., "Detonation database," Technical Report FM97-8, GALCIT, July 1997. See also the electronic hypertext version at http://www.galcit.caltech.edu/detn_db/html/.
28. Erpenbeck, J. J. "Stability of Idealized One-Reaction Detonations," Physics of Fluids, Vol. 7, 1964, pp. 684-696.