Solution of laminar diffusion flames using a parallel adaptive mesh refinement algorithm

43rd AIAA Aerospace Sciences Meeting and Exhibit - Meeting Papers

Volumn , Issue , 2005, Pages 13091-13105

  Northrup, S A ^a,b   Groth, C P T ^a,b  

^a UNIVERSITY OF TORONTO   (Canada)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DIFFUSION; INCOMPRESSIBLE FLOW; LAMINAR FLOW; PARALLEL PROCESSING SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS;

ADAPTIVE MESH REFINEMENT (AMR); LAMINAR DIFFUSION FLAMES; RIEMANN SOLVERS; SPATIAL DISCRETIZATION;

FLAME RESEARCH;

EID: 30744474185     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2005-547     Document Type: Conference Paper

References (32)

1. Berger, M. J., "Adaptive Mesh Refinement for Hyperbolic Partial Differential Equations," J. Comput. Phys., Vol. 53, 1984, pp. 484-512.
2. Berger, M. J. and Colella, P., "Local Adaptive Mesh Refinement for Shock Hydrodynamics," J. Comput. Phys., Vol. 82, 1989, pp. 67-84.
3. Quirk, J. J., An Adaptive Grid Algorithm for Computational Shock Hydrodynamics, Ph.D. thesis, Cranfield Institute of Technology, January 1991.
4. Powell, K. G., Roe, P. L., and Quirk, J., "Adaptive-Mesh Algorithms for Computational Fluid Dynamics," Algorithmic Trends in Computational Fluid Dynmaics, edited by M. Y. Hussaini, A. Kumar, and M. D. Salas, Springer-Verlag, New York, 1993, pp. 303-337.
5. De Zeeuw, D. and Powell, K. G., "An Adaptively Refined Cartesian Mesh Solver for the Euler Equations," J. Comput. Phys., Vol. 104, 1993, pp. 56-68.
6. Quirk, J. J. and Hanebutte, U. R., "A Parallel Adaptive Mesh Refinement Algorithm," Report 93-63, ICASE, August 1993.
7. Berger, M. J. and Saltzman, J. S., "AMR on the CM-2," Appl. Numer. Math., Vol. 14, 1994, pp. 239-253.
8. Aftomis, M. J., Berger, M. J., and Melton, J. E., "Robust and Efficient Cartesian Mesh Generation for Component-Base Geometry," AIAA J., Vol. 36, No. 6, 1998, pp. 952-960.
9. Groth, C. P. T., Zeeuw, D. L. D., Powell, K. G., Gombosi, T. I., and Stout, Q. F., "A Parallel Solution-Adaptive Scheme for Ideal Magnetohydrodynamics," Paper 99-3273, AIAA, June 1999.
10. Groth, C. P. T., De Zeeuw, D. L., Gombosi, T. I., and Powell, K. G., "Global Three-Dimensional MHD Simulation of a Space Weather Event: CME Formation, Interplanetary Propagation, and and Interaction with the Magnetosphere," J. Geophys. Res., Vol. 105, No. A11, 2000, pp. 25,053-25,078.
11. Sachdev, J., Groth, C., and Gottlieb, J., "A parallel solution-adaptive scheme for predicting multi-phase core flows in solid propellant rocket motors," submitted to the International Journal of Computational Fluid Dynamics, September 2003.
12. Day, M. S. and Bell, J. B., "Numerical Simulation of Laminar Reacting Flows with Complex Chemistry," Combust. Theory Modelling, Vol. 4, No. 4, 2000, pp. 535-556.
13. Douglas, C.C., Ern, A., and Smooke, M. D., "Numerical Simulation of Flames Using Multigrid Methods," Iterative Methods in Scientific Computation, edited by J. Wang, M. B. Allen, B. M. Chen, and T. Mathew, Vol. 4 of IMACS Series in Computational and Applied Mathematics, New Brunswick, 1998, pp. 149-154.
14. Gordon, S. and McBride, B. J., "Computer Program for Calculation of Complex Chemical Equilibrium Compositions and Applications I. Analysis," Reference Publication 1311, NASA, 1994.
15. McBride, B. J. and Gordon, S., "Computer Program for Calculation of Complex Chemical Equilibrium Compositions and Applications II. Users Manual and Program Description," Reference Publication 1311, NASA, 1996.
16. Westbrook, C. K. and Dryer, F. L., "Simplified Reaction Mechanisms for the Oxidation of Hydrocarbon Fuels in Flames," Combust. Sci. Tech., Vol. 27, 1981, pp. 31-43.
17. Wilke, C. R., "A Viscosity Equation for Gas Mixtures," J. Chem. Phys., Vol. 18, 1950, pp. 517-519.
18. Dixon-Lewis, G., "Computer Modeling of Combustion Reactions in Flowing Systems with Transport," Combustion Chemistry, edited by W. C. Gardiner, Springer-Verlag, New York, 1984, pp. 21-126.
19. Smith, G. P., Golden, D. M., Frenklach, M., Moriarty, N. W., Eiteneer, B., Goldenberg, M., Bowman, C. T., Hanson, R. K., Song, S., Gardiner, W. C., Lissianski, V. V., and Qin, Z., "GRI-Mech 3.0," http://www.me.berkeley.edu/gri.mech/, 2000.
20. van Leer, B., Tai, C. H., and Powell, K. G., "Design of Optimally-Smoothing Multi-Stage Schemes for the Euler Equations," Paper 89-1933-CP, AIAA, June 1989.
21. Barth, T. J., "Recent Developments in High Order K-Exact Reconstruction on Unstructured Meshes," Paper 93-0668, AIAA, January 1993.
22. Venkatakrishnan, V., "On the Accuracy of Limiters and Convergence to Steady State Solutions," Paper 93-0880, AIAA, January 1993.
23. Roe, P. L., "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes," J. Comput. Phys., Vol. 43, 1981, pp. 357-372.
24. Coirier, W. J. and Powell, K. G., "Solution-Adaptive Cartesian Cell Approach for Viscous and Inviscid Flows," AIAA J., Vol. 34, No. 5, May 1996, pp. 938-945.
25. Weiss, J. M. and Smith, W. A., "Preconditioning Applied to Variable and Constant Density Flows," AIAA J., Vol. 33, No. 11, 1995, pp. 2050-2057.
26. Turkel, E., "Preconditioning Techniques in Computational Fluid Dynamics," AnnRevFM, Vol. 31, 1999, pp. 385-416.
27. Davis, R. L. and Dannenhoffer, J. F., "Decomposition and Parallelization Strategies for Adaptive Grid-Embedding Techniques," Int. J. Comput. Fluid Dyn., Vol. 1, 1993, pp. 79-93.
28. Sun, M. and Takayama, K., "Conservative Smoothing on an Adaptive Quadrilateral Grid," J. Comput. Phys., Vol. 150, 1999, pp. 143-180.
29. Gropp, W., Lusk, E., and Skjellum, A., Using MPI, MIT Press, Cambridge, Massachussets, 1999.
30. Muson, B. R., Young, D. F., and Okiishi, T. H., Fundamentals of Fluid Mechanics, Wiley, 3rd ed., 1998.
31. Schlichting, H., Boundary-Layer Theory, McGraw-Hill, Toronto, 7th ed., 1979.
32. Mohammed, R. K., Tanoff, M. A., Smooke, M. D., and amd M. B. Long, A. M. S., "Computational and Experimental Study of a Forced, Time-Varying, Axisymmetric, Laminar Diffusion Flame," Twenty-Seventh Symposium (International) on Combustion, The Combustion Institute, Pittsburgh, 1998, pp. 693-702.