An implicit numerical scheme for turbulent combustion using an assumed PDF approach

30th Fluid Dynamics Conference

Volumn , Issue , 1999, Pages

  Gerlinger, P ^a   Bruggemann D ^a   Mobus H ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMBUSTION; PROBABILITY DENSITY FUNCTION; REACTION RATES; TEMPERATURE; TURBULENCE MODELS;

EFFECTS OF TEMPERATURE; FINITE-RATE CHEMISTRY; HYDROGEN COMBUSTION; PROBABILITY DENSITY FUNCTION (PDF); SPECIES CONCENTRATION; TURBULENCE CLOSURES; TURBULENT COMBUSTION; VARIANCE EQUATIONS;

NAVIER STOKES EQUATIONS;

EID: 84963752001     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1999-3775     Document Type: Conference Paper

References (29)

1. Pope, S. B., “PDF Methods for Turbulent Reactive Flows”, Progress in Energy and Combustion Science, Vol. 11, pp. 119-192, 1985.
2. 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. 2, pp. 1407-1415, 1994.
3. Baurle, R. A., Alexopoulos, G. A. and Hassan, H. A., “Assumed Joint Probability Density Function Approach for Supersonic Turbulent Combustion”, Journal of Propulsion and Power, Vol. 10, No. 4, pp 473-484, 1994.
4. Baurle, R. A., “Modeling of Turbulent Reacting Flows with Probability Density Functions for Scramjet Applications”, Ph.D thesis, North Carolina State University, Raleigh, NC, 1995.
5. Eberhardt, S., and Imlay, A., “A Diagonal Implicit Scheme for Computing Flows with Finite-Rate Chemistry”, AIAA paper 90-1577, 1990.
6. Gerlinger, P., Stoll, P., and Brüggemann, D., “An Implicit Multigrid Method for the Simulation of Chemically Reacting Flows”, Journal of Computational Physics, Vol. 146, pp. 322-345, 1998.
7. Jachimowski, “An Analytical Study of the Hydrogen-Air Reaction Mechanism with Application to Scramjet Combustion”, NASA TP 2791, 1988.
8. Wilson, J. W., and MacCormack, R. W., “Modeling Supersonic Combustion Using a Fully Implicit Numerical Method”, AIAA Journal, Vol. 30, No. 4, pp. 1008-1015, 1992.
9. Westbrook, C. K., “An Analytical Study of the Shock Yube Ignition of Mixture of Methane and Ethane”, Combustion Science and Technology, Vol. 20, pp.5-17, 1979.
10. Coakley, T. J., and Huang, P. G, “Turbulence Modeling for High Speed Flows”, AIAA-paper 92-0436, 1992.
11. Gerlinger, P., and Brüggemann, D., “Multigrid Convergence Acceleration for Turbulent Supersonic Flows”, International Journal for Numerical Methods in Fluids, Vol. 24, pp. 1019-1035, 1997.
12. Jameson, A., and Yoon, S., “Lower-Upper Implicit Schemes with Multiple Grids for the Euler Equations”, AIAA Journal, Vol. 25, pp. 929-937, 1987.
13. Shuen, J. S., “Upwind Differencing and LU Factorization for Chemical Non-equilibrium Navier-Stokes Equations”, Journal of Computational Physics, Vol. 99, pp. 233-250, 1992.
14. Baurle, R. A., Alexopoulos, G. A., and Hassan, H. A., “Modeling of Supersonic Combustion Using Assumed Probability Density Functions”, Journal of Propulsion and Power, Vol. 10, No. 6, pp. 777-786, 1994.
15. Baurle, R. A., and Girimaji, S. S., “An Assumed PDF Turbulence-Chemistry Closure with Temperature-Composition Correlations”, AIAA-paper 99-0928, 1999.
16. Girimaji, S. S., “A Simple Recipe for Modeling Reaction-Rates in Flows with Turbulent Combustion”, AIAA-paper 91-1792, 1991.
17. Girimaji, S. S., “Assumed β-pdf Model for Turbulent Mixing: Validation and Extension to Multiple Scalar Mixing”, Combustion Science and Technology, Vol. 78, pp. 177-196, 1991.
18. Lockwood, F. C., and Naguib, A. S., “The Prediction of the Fluctuations in the Properties of Free, Round-Jet, Turbulent Diffusion Flames”, Combustion and Flame”, Vol. 24, pp. 109-124, 1975.
19. Chandrasekhar, R., and Tiwari, S. N., “Application of a Reynolds Stress Turbulence Model to a Supersonic Hydrogen-Air Diffusion Flame”, AIAA-paper 91-1786, 1991.
20. Gaffney, R. L. Jr, White, J. A., and Girimaji, S. S., “Modeling Turbulent Chemistry Interactions Using Assumed PDF Method”, AIAA paper 92-3638, 1992.
21. Shuen, J. S., and Yoon, S., “Numerical Study of Chemically Reacting Flows Using a Lower-Upper Symmetric Successive Over relaxation Scheme”, AIAA Journal, Vol. 27, No. 9, pp. 1752-1760, 1989.
22. Ju, Y., “Lower-Upper Scheme for Chemically Treact-ing Flow with Finite-Rate Chemistry”, AIAA Journal, Vol. 33, No. 9, pp. 1418-1425, 1995.
23. Yu, S.-T., Tsai Y.-L., and Shuen, J. S., “Three-Dimensional Calculations of Supersonic Reacting Flows Using an LU Scheme”, Journal of Computational Physics, Vol. 101, pp. 276-286, 1992.
24. Gerlinger, P., Algermissen, J., and Brüggemann, D., “Matrix Dissipation for Central Difference Schemes with Combustion”, AIAA Journal, Vol. 33, No. 1, pp. 1865-1870, 1996.
25. Shuen, J. S., Liou, M.-S., and v. Leer, B., “Inviscid Flux Splitting Algorithms for Real Gases with Non Equilibrium Chemistry”, Journal of Computational Physics, Vol. 90, pp. 371-395, 1990.
26. Sinha, K., and Candler, G. V., “Convergence Improvement of Two-Equation Turbulence Model Calculations”, AIAA paper 98-2649, 1998.
27. Narayan, J. R., and Girimaji, S. S., “Turbulent Reacting Flow Computations Including Turbulence-Chemistry Interactions”, AIAA-paper 92-0342, 1992.
28. Evans, J. S., Schexnayder, C. J., and Beach, H. J., “Application of a Two-Dimensional Parabolic Computer Program to Prediction of Turbulent Reacting Flows”, NASA TP 1169, 1978.
29. Edwards, J. R., “Advanced Implicit Algorithms for Finite Rate Hydrogen-Air Combustion Calculations”, AIAA-paper 96-3129, 1996.