An algorithm for the construction of global reduced mechanisms with CSP data

Abstract An algorithm is presented for the construction of global reduced mechanisms, based on concepts from the Computational Singular Perturbation method. Input to the algorithm are (i) the detailed mechanism, (ii) a representative numerical solution of the problem under investigation, and (iii) the desired number of steps in the reduced mechanism. The algorithm numerically identifies the “steady-state” species and fast reactions and constructs the reduced mechanism. The stoichiometric coefficients are constant and are connected to the non “steady-state” species, while the related rates involve the slow elementary rates only. The proposed method is applied to a laminar premixed CH4/Air flame and a complex detailed chemical kinetics mechanism, consisting of 279 reactions and 49 species and accounting for both thermal and prompt NOx production. A seven-step mechanism is constructed which is shown to reproduce the species profiles and the laminar burning velocity very accurately over a wide range of values for the initial mixture composition and temperature. In addition, it is shown that the seven-step mechanism introduces much lower time scales than the detailed mechanism does. Since the proposed procedure for constructing reduced mechanisms is fully algorithmic and requires minor computations, it is very much suited for the simplification of large detailed mechanisms.

[1]  Tamás Turányi,et al.  Reaction rate analysis of complex kinetic systems , 1989 .

[2]  Chung King Law,et al.  Ignition of hydrogen-enriched methane by heated air☆ , 1997 .

[3]  Tamás Turányi,et al.  Parameterization of Reaction Mechanisms Using Orthonormal Polynomials , 1994, Comput. Chem..

[4]  F. Méndez,et al.  Asymptotic analysis of the ignition of hydrogen by a hot plate in a boundary layer flow , 1991 .

[5]  Pierre Rouchon,et al.  Kinetic scheme reduction via geometric singular perturbation techniques , 1996 .

[6]  N. Peters,et al.  Reduced Kinetic Mechanisms for Applications in Combustion Systems , 1993 .

[7]  C. Law,et al.  Ignition of counterflowing methane versus heated air under reduced and elevated pressures , 1997 .

[8]  David E. Keyes,et al.  Numerical Solution of Two-Dimensional Axisymmetric Laminar Diffusion Flames , 1986 .

[9]  U. Maas,et al.  An efficient storage scheme for reduced chemical kinetics based on orthogonal polynomials , 1997 .

[10]  Tamás Turányi,et al.  Mechanism reduction for the oscillatory oxidation of hydrogen; Sensitivity and quasi-steady-state analyses , 1992 .

[11]  Carvalhoc Combustion Technologies for a Clean Environment , 1995 .

[12]  S. H. Lam,et al.  Using CSP to Understand Complex Chemical Kinetics , 1993 .

[13]  Stephen B. Pope,et al.  Computationally efficient implementation of combustion chemistry using in situ adaptive tabulation , 1997 .

[14]  Adaptive methods in computational fluid dynamics of chemically reacting flows , 1991 .

[15]  Alberto Tesei,et al.  Fluid dynamical aspects of combustion theory , 1991 .

[16]  Paul A. Libby,et al.  Countergradient Diffusion in Premixed Turbulent Flames , 1981 .

[17]  Robert J. Kee,et al.  On reduced mechanisms for methaneair combustion in nonpremixed flames , 1990 .

[18]  J.-Y. Chen,et al.  Scalar Pdf Modeling of Turbulent Nonpremixed Methanol-Air Flames , 1993 .

[19]  W. P. Jones,et al.  Global reaction schemes for hydrocarbon combustion , 1988 .

[20]  J.-Y. Chen,et al.  A General Procedure for Constructing Reduced Reaction Mechanisms with Given Independent Relations , 1988 .

[21]  B. Rogg,et al.  Reduced kinetic mechanisms and their numerical treatment I: Wet CO flames , 1993 .

[22]  S. H. Lam,et al.  A study of homogeneous methanol oxidation kinetics using CSP , 1992 .

[23]  Ulrich Maas,et al.  Simplifying chemical kinetics: Intrinsic low-dimensional manifolds in composition space , 1992 .

[24]  J. Hessler,et al.  Correlation analysis of complex kinetic systems: A new scheme for utilizing sensitivity coefficients , 1992 .

[25]  F. Williams,et al.  Turbulent Reacting Flows , 1981 .

[26]  Mitchell D. Smooke,et al.  Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane-Air Flames: A Topical Volume , 1991 .

[27]  S. Lam,et al.  The CSP method for simplifying kinetics , 1994 .

[28]  de Lph Philip Goey,et al.  Mathematically reduced reaction mechanisms applied to adiabatic flat hydrogen/air flames , 1995 .

[29]  Dimitris A. Goussis,et al.  Asymptotic Solution of Stiff PDEs with the CSP Method: The Reaction Diffusion Equation , 1998, SIAM J. Sci. Comput..

[30]  Robert J. Kee,et al.  The computation of stretched laminar methane-air diffusion flames using a reduced four-step mechanism , 1987 .

[31]  P. Gnoffo,et al.  Reduced and simplified chemical kinetics for air dissociation using Computational Singular Perturbation , 1990 .

[32]  Ulrich Maas,et al.  Implementation of simplified chemical kinetics based on intrinsic low-dimensional manifolds , 1992 .