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Title	Preconditioned Navier-Stokes Solution Technique for Laminar Methane-Air Non-Premixed Combustion
Creator	Harvey, Albert D. III; Edwards, Jack R.
Publisher	Digitized by J. Willard Marriott Library, University of Utah
Date	1998
Spatial Coverage	presented at Maui, Hawaii
Abstract	A solution-adaptive Navier-Stokes technique is presented which incorporates a fully implicit solution algorithm with low Mach number preconditioning. The equations are formulated for generalized n-species/rareactions Arrhenius chemistry and are cast in a generalized coordinate frame for application to arbitrary geometries. The grid adaption strategy employs a line-by-line equi-distribution concept in which grid points are re-distributed along each coordinate line during the course of the solution process according to gradients of user specified dependent variables. The solution technique is demonstrated on a laminar methane-air diffusion flame using a 17-species/58-reaction chemistry mechanism. Computed results for temperature, mole fraction, and velocity compare favorably with experimental results. Typical computations require a few hours CPU time on a standard desktop engineering workstation. The accuracy of the computed results illustrate that the solution strategy presented in this paper is an attractive means of computing reacting flows with detailed chemistry.
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Language	eng
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Reference URL	https://collections.lib.utah.edu/ark:/87278/s6sj1p7z

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Title	Page 13
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OCR Text	Show Literature Cited Bilger, R.W., S.H. Starner and R.J. Kee, (1990) uOn Reduced Mechanisms for Methane-Air Combustion in Nonpremixed Flames." Combust. Flame, 80, 135-149. Chapman, S. and T.G. Cowling, (1951) Mathematical Theory of Non-Uniform Gases. Cambridge University Press, 2nd Edition. Choi, Y., and C.L. Merkle, (1993) "The Application of Preconditioning in Viscous Flows." J. Comp. Phys., 105, pp. 207-223. Edwards, J.R., (1997) "A Low-Diffusion Flux-Splitting Scheme for Navier-Stokes Calculations." Computers and Fluids, 26, pp. 645-659. Edwards, J.R. and M.-S. Liou, (1998) "Low-Diffusion Flux-Splitting Methods for Flows at All Speeds." AIAA Journal, 35, (September). Edwards, J.R. and C.J. Roy, (1998) "Preconditioned Multigrid Methods for Two-Dimensional Combustion Calculations at All Speeds." AIAA Journal, 36, (February) 185-191. Feng, J., and C.L. Merkle, (1990) "Evaluation of Preconditioning Methods for Time-Marching Systems." AIAA Paper 90-0016, Reno, NV, (January). Gnoffo, P.A., (1982) "A Vectorized, Finite-Volume, Adaptive Grid Algorithm Applied to Planetary Entry Problems." AIAA Paper 82-1018, St. Louis', M O , (June). Harlow, F.H., and J.E. Welch, (1965) "Numerical Calculations of Time-Dependent Viscous Incompressible Flow with Free Surface." Physics of Fluids, 8, pp. 2182-89. Harvey, A.D., S. Acharya and S.L. Lawrence, (1993) "Space Marching Calculations About Hypersonic Configurations Using a Solution-Adaptive Mesh Algorithm." AIAA Journal. 31, (October), 1809-1818. Harvey, A.D., S. Acharya and S.L. Lawrence, (1992) "Solution Adaptive Grid Procedure for the Three- Dimensional Parabolized Navier-Stokes Equations." AIAA Journal, 30, (April), 953-962. Harvey, A.D., S. Acharya, S.L. Lawrence and S. Cheung, (1991) "Solution Adaptive Grid Procedure for High Speed Parabolic Flow Solvers." AIAA Journal, 29, (August), 1232-1240. Jones, W.P. and R.P. Lindstedt, (1988) "Global Reaction Schemes for Hydrocarbon Combustion." Combust. Flame, 73, 233-249. McBride, B., S. Gordon, and M. Reno, (1993) "Coefficients for Calculating Thermodynamics and Transport Properties of Individual Species." NASA TM 4513, available from NTIS (703) 487-4600, (order #N9417624). Mitchell, E.R., (1975), "Nitrogen Oxide Formation in Laminar Methane-Air Diffusion Flames." Sc.D. Dissertation, Massachusetts Institute of Technology. Mitchell, E.R., A.F. Sarofim and L.A. Clomburg, (1980), "Experimental and Numerical Investigation of Confined Diffusion Flames." Combust. Flame, 37. 227-244. Nakahashi, K. and G.S. Deiwert, (1986) "Three-Dimensional Adaptive Grid Method." AIAA Journal, 24, (June), 948-954. Patankar, S.V., (1980) Numerical Heat Transfer and Fluid Flow., Hemisphere. Reid, R.C., J.M. Prausniz and B.E. Poling, (1988) The Properties of Gases and Liquids., 4th Edition, McGraw-Hill. Shih, T.H. and J. Lumley, (1993) "Kolmogorov Behavior of Near-Wall Turbulence and Its Application in Turbulence Modeling," Comp. Fluid Dyn., 1, pp. 43. Shuen, J.-S., "Upwind Differencing and LU Factorization for Chemical Non-equilibrium Navier-Stokes Equations." J. Comp. Physics, 99, pp. 233-50, (1992). Shuen, J.-S., K.-H. Chen and Y. Choi, (1993) "A Coupled Implicit Method for Chemical Non-equilibrium Flows at all Speeds." J. Comp. Physics. 106, pp. 306- 318. Smooke, M.D., R.E. Mitchell and D.E. Keyes, (1989) "Numerical Solution of Two-Dimensional Axisymmetric Laminar Diffusion Flames." Combust. Sci. Tech., 67, 55-122. Turkel, E., (1987) "Preconditioning Methods for Solving the Incompressible and Low Speed Compressible Equations." J. Comp. Physics, 72, pp. 277-298. Turkel, E., R. Radespiel and N. Kroll, (1997) "Assessment of Preconditioning Methods for Multidimensional Aerodynamics." Computers and Fluids. 26, pp. 613- 634. Viviand, H., (1985) "Pseudo-Unsteady Systems for Steady Inviscid Flow Calculations." SIAM, F. Au-grand, Ed., pp. 334-68. Weiss, J.M. and W.A. Smith, (1994) "Preconditioning Applied to Variable and Constant Density Time- Accurate Flows on Unstructured Meshes." AIAA Paper 94-2209. (Colorado Springs). Wilke, C.R., (1959) "A Viscosity Equation for Gas Mixtures." J. Chem. Phys., 18, pp. 517-519. Xu, Y., M.D. Smooke, P. Lin and M.B. Long, (1993) "Primitive Variable Modeling of Multidimensional Laminar Flames." Combust. Sci. Tech.. 90, 289-313. 13
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Reference URL	https://collections.lib.utah.edu/ark:/87278/s6sj1p7z/13603