Browse > Article
http://dx.doi.org/10.3795/KSME-B.2006.30.4.320

Numerical Simulation of Chemically Reacting Laminar and Thrbulent Flowfields Using Preconditioning Scheme  

Kim Gyo-Soon (아주대학교 대학원 기계공학과)
Choi Yun-Ho (아주대학교 기계공학부)
Rhee Byung-Ohk (아주대학교 기계공학부)
Song Bong-Ha (아주대학교 대학원 기계공학과)
Publication Information
Transactions of the Korean Society of Mechanical Engineers B / v.30, no.4, 2006 , pp. 320-327 More about this Journal
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.
Keywords
Preconditioning Scheme; Chemically Reacting Flow; Turbulent Flow; Fluids-turbulence System; Multi-species Equation; Upwind Difference; Singularity;
Citations & Related Records
연도 인용수 순위
  • Reference
1 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
2 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   DOI   ScienceOn
3 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   DOI   ScienceOn
4 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   DOI   ScienceOn
5 Charles. K. Westbrook., 1981, 'Simplified Reaction Mechanisms for the Oxidation of Hydrocarbon Fuels in Flames,' Combustion Science and Technology, Vol. 27, pp. 31-43   DOI   ScienceOn
6 http://tspcpc110.ecn.purdue.eduIH202_files/frame.htm
7 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
8 Chorin, A. J., 1967, 'A Numerical Methods for Solving Incompressible Viscous Flow Problems,' Journal of Computational Physics, Vol. 2, pp. 12-26   DOI   ScienceOn
9 Turkel, E., 1987, 'Preconditioned Methods for Solving Incompressible Viscous Flow Problems,' Journal of Computational Physics, Vol. 72, pp. 277-298   DOI   ScienceOn
10 Choi, Y. H. and Merkle, C.L., 1993, 'The Application of Preconditioning in Viscous Flows,' Journal of Computational Physics, Vol. 105, pp. 207-223   DOI   ScienceOn
11 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
12 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
13 Chen, K. -H., Duncan, B., Fricker, D., Lee, J. and Quealy, A., 1996, 'ALLSPD-3D,' NASA Lewis Research Center
14 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
15 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   DOI   ScienceOn
16 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
17 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   DOI   ScienceOn