Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Simulation of Chemically Reacting Laminar and Thrbulent Flowfields Using Preconditioning Scheme

예조건화 기법을 이용한 층류 및 난류 화학반응 유동장 해석

  • 김교순 (아주대학교 대학원 기계공학과) ;
  • 최윤호 (아주대학교 기계공학부) ;
  • 이병옥 (아주대학교 기계공학부) ;
  • 송봉하 (아주대학교 대학원 기계공학과)
  • Published : 2006.04.01
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Abstract

The computations of chemically reacting laminar and turbulent flows are performed using the preconditioned Navier-Stokes solver coupled with turbulent transport and multi-species equations. A low-Reynolds number $k-\varepsilon$ turbulence model proposed by Chien is used. The presence of the turbulent kinetic energy tenn in the momentum equation can materially affect the overall stability of the fluids-turbulence system. Because of this coupling effect, a fully coupled formulation is desirable and this approach is taken in the present study. Choi and Merkle's preconditioning technique is used to overcome the convergence difficulties occurred at low speed flows. The numerical scheme used for the present study is based on the implicit upwind ADI algorithm and is validated through the comparisons of computational and experimental results for laminar methane-air diffusion flame and $ H_2/O_2$ reacting turbulent shear flow. Preconditioning formulation shows better convergence characteristics than that of non-preconditioned system by approximately five times as much.

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References

  1. Merkle, C. L. and Choi, Y. H., 1985, 'Computation of Low Speed Flows with Time Marching Procedures,' International Journal for Numerical Methods in Engineering, Vol. 25, pp. 293-311 https://doi.org/10.1002/nme.1620250203
  2. Venkateswaran, S., Weiss, J. M., Merkle, C. L. and Choi, Y. H., 1992, 'Propulsion-Related Flowfields Using the Preconditioned Navier-Stokes Equations,' AIAA paper 92-3437
  3. Shuen, J. S., Chen, K. H. and Choi, Y. H., 1992, 'A Time Accurate Algorithm for Chemical NonEquilibrium Viscous Flows at All Speeds,' AIAA paper 92-3639
  4. Chorin, A. J., 1967, 'A Numerical Methods for Solving Incompressible Viscous Flow Problems,' Journal of Computational Physics, Vol. 2, pp. 12-26 https://doi.org/10.1016/0021-9991(67)90037-X
  5. Turkel, E., 1987, 'Preconditioned Methods for Solving Incompressible Viscous Flow Problems,' Journal of Computational Physics, Vol. 72, pp. 277-298 https://doi.org/10.1016/0021-9991(87)90084-2
  6. Choi, Y. H. and Merkle, C.L., 1993, 'The Application of Preconditioning in Viscous Flows,' Journal of Computational Physics, Vol. 105, pp. 207-223 https://doi.org/10.1006/jcph.1993.1069
  7. Vankateswaran, S., Deshpande, M. and Merkle, C. L., 1995, 'The Application of Preconditioning to Reacting Flow Computations,' AIAA 95-1673, 12th Computational Fluid Dynamics Conference
  8. Buelow, P. E. O., Schwer, D. A., Feng, J., Merkle, C. L. and Choi, D., 1997, 'A Preconditioned DualTime Diagonalized ADI Scheme for Unsteady Computations,' AIAA paper 97-2101
  9. Chen, K. -H., Duncan, B., Fricker, D., Lee, J. and Quealy, A., 1996, 'ALLSPD-3D,' NASA Lewis Research Center
  10. Ryer Jr., R. C, 1998, 'The Baseline Solver for the National Combustion Code,' AIAA paper 98-3853, 34th AIAA/ASME/SAE/ASEE Joint Propulsion Conference & Exhibit
  11. Mitchell, R. E., Sarofim, A. F. and Clomburg, L. A., 1980, 'Experimental and Numerical Investigation of Confined Laminar Diffusion Flames,' Combustion and Flame, Vol. 37, pp. 227-244 https://doi.org/10.1016/0010-2180(80)90092-9
  12. Chang, C., Marek, C, Wey, C., Jones, R. and Smith, M., 1993, 'Comparison of Reacting and NonReacting Shear Layers at a High Subsonic Mach Number,' AIAA Conference Proceedings, 93-2381
  13. Chien, K. Y., 1982, 'Predictions of Channel and Boundary Layer Flows with a Low-ReynoldsNumber Turbulence Model,' AIAA Journal, Vol. 20, No.1, pp. 33-38 https://doi.org/10.2514/3.51043
  14. Taylor, A. C., Ng, W. F. and Walter, R. W., 1992, 'Upwind Relaxation Methods for the Navier-Stokes Equations Using Inner Iteration,' Journal of Computational Physics, Vol. 99, pp. 68-78 https://doi.org/10.1016/0021-9991(92)90275-4
  15. Thomas, J. L. and Walters, R. W., 1987, 'Upwind Relaxation Algorithm for the Navier-Stokes Equations,' AIAA Journal, Vol. 25, No.4, pp. 527-534 https://doi.org/10.2514/3.9659
  16. Charles. K. Westbrook., 1981, 'Simplified Reaction Mechanisms for the Oxidation of Hydrocarbon Fuels in Flames,' Combustion Science and Technology, Vol. 27, pp. 31-43 https://doi.org/10.1080/00102208108946970
  17. http://tspcpc110.ecn.purdue.eduIH202_files/frame.htm