Preconditioned multigrid methods for two-dimensional combustion calculations at all speeds

AIAA Journal

Volumn 36, Issue 2, 1998, Pages 185-192

  Edwards, Jack R ^a,b,c   Roy, Christopher J ^a,b,c  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b Campus Box 7910 ^*  (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000634871     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.7500     Document Type: Article

References (37)

1. Ebrahimi, H., "CFD Validation and Evaluation for Reacting Flows, Part III," AIAA Paper 95-0735, Jan. 1995.
2. Chen, K.-H., Shuen, J.-S., and Mularz, E., "A Comprehensive Study of Numerical Algorithms for Three Dimensional, Turbulent, Non-Equilibrium Viscous Flows," AIAA Paper 95-0800, Jan. 1995.
3. Shuen, J.-S., Chen, K.-H., and Choi, Y., "A Time-Accurate Algorithm for Chemical Non-Equilibrium Viscous Flows at All Speeds," AIAA Paper 92-3639, .July 1992.
4. Venkateswaran, S., Deshpande, M., and Merkle, C., "The Application of Preconditioning to Reacting Flow Computations," AIAA Paper 95-1673, July 1995.
5. Choi, Y. H., and Merkle, C. L., "The Application of Preconditioning in Viscous Flows," Journal of Computational Physics, Vol. 105, No. 2, 1993, pp. 207-223.
6. Weiss, J. M., and Smith, W. A., "Preconditioning Applied to Variable and Constant Density Time-Accurate Flows on Unstructured Meshes," AIAA Paper 94-2209, June 1994.
7. Edwards, J. R., "An Implicit Multigrid Algorithm for Computing Hypersonic, Chemically-Reacting, Viscous Flows," Journal of Computational Physics, Vol. 123, No. 1, 1996, pp. 84-95.
8. Liu, C., Liu, Z., and McCormick, S., "Multigrid Methods for Numerical Simulation of Laminar Diffusion Flames," AIAA Paper93-0236, Jan. 1993.
9. Liu, Z., Liao, C., Liu, C., and McCormick, S., "Multigrid Method for Multi-Step Finite Rate Combustion," AIAA Paper 95-0205, Jan. 1995.
10. Liao, C., Liu, Z., and Liu, C., "Implicit Multigrid Method for Modeling 3-D Turbulent Diffusion Flames with Detailed Chemistry," AIAA Paper 95-0801, Jan. 1995.
11. Edwards, J. R., "An Upwind Relaxation Multigrid Method for Computing Three-Dimensional Viscous Internal Flows," Journal of Propulsion and Power, Vol. 12, No. 1, 1996, pp. 146-154.
12. Koren, B., and Henker, P. W., "Damped, Direction-Dependent Multigrid for Hypersonic Flow Computation," Applied Numerical Mathematics, Vol. 7, No. 4, 1991, pp. 309-329.
13. Lynn, J. F., and Van Leer, B., "A Semi-Coarsened Multigrid Solver for the Euler and Navier-Stokes Equations with Local Preconditioning," AIAA Paper 95-1667, June 1995.
14. Dailey, L. D., and Pletcher, R. H., "Evaluation Multigrid Acceleration for Preconditioned Time-Accurate Navier-Stokes Algorithms," AIAA Paper 95-1666, June 1995.
15. Stomeki, J. F., Anderson, J. D., and Gorski, J. J., "Effectiveness of Multigrid in Accelerating Convergence of Multidimensional Flows in Chemical Nonequilibrium," AIAA Paper 90-1575, June 1990.
16. Chang, C. T., Marek, C. J. Wey, C. Jones, R. A., and Smith, M. J., "Comparison of Reacting and Non-Reacting Shear Layers at a High Subsonic Mach Number," AIAA Paper 93-2381, June 1993;also NASA TP-3342, June 1996.
17. Schefer, R. W., Namazian, M., and Kelly, J., "Velocity Measurements in a Turbulent Nonpremixed Bluff-Body Sobilized Flame," Combustion Science and Technology, Vol. 56, Nos. 4-6, 1987, pp. 101-138.
18. J. S., Schexnayder, C. J., and Beach, H. L., "Application of a Two-Dimensional Parabolic Computer Program to Prediction of Turbulent Reacting Flows," NASA TP-1169, March 1978.
19. McBride, B. J., Gordon, S., and Reno, M. A., "Coefficients for Calculating Thermodynamic and Transport Properties of Individual Species," NASA TM-4513, Oct. 1993.
20. Spalart, P. R., and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows," AIAA Paper 92-0439, Jan. 1992.
21. Birch, S. F., "One Equation Models Revisited," AIAA Paper 93-2903, July 1993.
22. Jones, W. P., and Launder, B. E., "The Prediction of Laminarization with a Two-Equation Model of Turbulence," International Journal of Heat and Mass Transfer, Vol. 15, No. 3, 1972, pp. 301-314.
23. Eklund, D. R., and Stouffer, S. D., "A Numerical and Experimental Study of a Supersonic Combustor Employing Swept Ramp Fuel Injectors," AIAA Paper 94-2819, June 1994.
24. Balakrishnan, G., Smooke, M. D., and Williams, F. A., "A Numerical Investigation of Extinction and Ignition Limits in Laminar Nonpremixed Counterflowing Hydrogen-Air Streams for Both Elementary and Reduced Chemistry," Combustion and Flame, Vol. 102, No. 3, 1995, pp. 329-340.
25. Frankel, S. H., Drummond, J. P., and Hassan, H. A., "A Hybrid Reynolds-Averaged/PDF Closure Model for Supersonic, Turbulent Combustion," AIAA Paper 90-1573, June 1990.
26. Hsu, A. T., Tsai, Y.-L. P., and Raju, M. S., "Probability Density Function Approach for Compressible Turbulent Reacting Flows," AIAA Journal, Vol. 32, No. 7, 1994, pp. 1407-1415.
27. Magnussen, B. F., and Hjertager, B. H., "On Mathematical Modeling of Turbulent Combustion with Special Emphasis on Soot Formation and Combustion," Proceedings of the 16th International Symposium on Combustion, Combustion Inst., Pittsburgh, PA, 1976, pp. 719-729.
28. Namazian, M., Kelly, J. T., and Schefer, R. W., "Near Field Instantaneous Flame and Fuel Concentration Structures." Proceedings of the 22nd International Symposium on Combustion, Combustion Inst., Pittsburgh, PA, 1988, pp. 627-634.
29. Jones, W. P., and Lindstedt, R. P., "Global Reaction Schemes for Hydrocarbon Combustion," Combustion and Flame, Vol. 73, No. 2, 1988, pp. 233-249.
30. Fureby, C., and Lofstrom, C., "Large-Eddy Simulations of Bluff-Body Stabilized Flames," Proceedings of the 25th International Symposium on Combustion, Combustion Inst., Pittsburgh, PA, 1994, pp. 1257-1264.
31. Turkel, E. Vatsa, V. N., and Radespiel, R., "Preconditioning Methods for Low-Speed Flows," AIAA Paper 96-2460, June 1996.
32. Wada, Y., and Liou, M.-S., "A Flux Splitting Scheme with High-Resolouon and Robustness for Discontinuities," AIAA Paper 94-0083, Jan. 1994.
33. Liou, M.-S., "Progress Towards an Improved CFD Method: AUSM+," Proceedings of the AIAA 12th Computational Fluid Dynamics Conference, AIAA, Washington, DC, 1995 (AIAA Paper 95-1701).
34. Edwards, J. R., "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations," Computers and Fluids, Vol. 26, No. 6, 1997, pp. 635-659.
35. Edwards, J. R., and Liou, M.-S., "Low-Diffusion Flux Splitting Methods for Flows at All Speeds," Proceedings of the AIAA 13th Computational Fluid Dynamics Conference, AIAA, Washington, DC, 1997 (AIAA Paper 97-1862).
36. Brandt, A., "Matt-Level Adaptive Solutions to Boundary-Value Problems," Mathematics of Computation, Vol. 31, No. 138, 1977, pp. 333-390.
37. Lai, H. T., and Raju, M. S., "CFD Validation of Subsonic Turbulent Planner Shear Layers," AIAA Paper 93-1773, June 1993.