Time Dependent Operator-split and Unsplit Schemes for One Dimensional Premixed Flames

References

• Andersson , L. L. and Olsson , J. O. ( 1986 ). A fast time-dependent code for evaluation of experimental premixed laminar flames . Combustion Science and Technology 46 , 95 .
   Web of Science ®Google Scholar
• Bhashyam , A. T. ( 1984 ). Computational studies on problems of flame propagation . Ph.D. Thesis submitted in Indian Institute of Science , Bangalore , India .
   Google Scholar
• Bhashyam , A. T. , Deshpande , S. M. , Mukunda , H. S. and Goyal , G. ( 1986 ). A novel operator-splitting technique for one-dimensional laminar premixed flames . Combustion Science and Technology 46 , 223 .
   Web of Science ®Google Scholar
• Brokaw , R. S. ( 1961 ). Alignment charts for transport properties viscosity and diffusion coefficients for nonpolar gases and gas mixtures at low density . Report No. NASA TR R·81 .
   Google Scholar
• Coffee , T. P. and Heimerl , J. M. ( 1981 ). Transport Algorithm for premixed, laminar steady-state flames . Combustion and flame . 43 , 273 – 289 .
   Web of Science ®Google Scholar
• Curtiss , C. F. and Hirschfelder , J. O. ( 1949 ). Transport properties of multicomponent gas mixtures . J. Chem. Phys . 17 , 550 .
   Web of Science ®Google Scholar
• Dasch , C. J. and Blint , R. J. ( 1983 ). An improved Spalding-Stephenson procedure for one dimensional flame calculations . Combustion Science and Technology 34 , 91 .
   Web of Science ®Google Scholar
• Dongarra , J. J. ( 1985 ). Performance of various computers using standard linear equations software in a Fortran environment . Computer Architecture News . Vol. 13 , No. 1 , March 1985 , p, 3 .
   Google Scholar
• Dwyer , H. A. and Sanders , B. R. ( 1978 ). Numerical Modeling of Unsteady Flame Propagation , Sandia Laboratories Report SAND 77 – 8275 .
   Google Scholar
• Flower , W. L. , Hanson , R. K. and Kruger , C. H. ( 1974 ). Kinetics of the reaction of nitric oxide with hydrogen . Fifteenth Symposium (International) on Combustion , The Combustion Institute , pp, 823 – 832 .
   Google Scholar
• Gordon , S. and McBride , B. J. ( 1971 ). Computer program for calculation of complex chemical equilibrium compositions , rocket performance , etc., Report No. NASA SP-273 .
   Google Scholar
• Goyal , G. , Paul , P. J. , Mukunda , H. S. and Deshpande , S. M. ( 1988 ). Computational studies on one-dimensional laminar , premixed Hydrogen-Nitric Oxide flames (communicated to Combustion and Flame , 1988 ).
   Google Scholar
• Grear , J. F. , Kee , R. J. , Smooke , M. D. and Miller , J. A. ( 1986 ). A Hybrid Newton/Time-Integration procedure for the solution of steady, laminar , one-dimensional flames . Sandia Laboratories Report SAND 85 – 8909 .
   Google Scholar
• Kee , R. J. and Miller , J. A. ( 1977 ). A split operator, finite difference solution for axisymmetric laminar jet diffusion flames, AIAA paper 77-639 , AIAA 3rd computational fluid dynamics conf. , June 1977 .
   Google Scholar
• Lund , C. M. ( 1978 ). HCT-a general computer program for calculating phenomena involving one-dimensional hydrodynamics, transport and detailed chemical kinetics . Univ, of California , Lawrence Livermore Report UCRL-52204 .
   Google Scholar
• Magnus , A. J. , Chintapalli , P. S. and Vanpee , M. ( 1974 ). Effect of composition and temperature on the burning velocity of the Nitric Oxide-Hydrogen flame . Combustion and flame 22 , 71 – 75 .
   Web of Science ®Google Scholar
• Olsson , J. O. and Andersson , L. L. ( 1985 ). Time-dependent solution of pre-mixed laminar flames with a known temperature profile . Journal of Computational Physics 59 , 369 .
   Web of Science ®Google Scholar
• Oran , E. S. and Boris , J. P. ( 1981 ). Detailed modeling of combustion systems . Prog. in Energy and Combustion Science . 7 , 1 .
   Web of Science ®Google Scholar
• Otey , G. R. ( 1978 ). Numerical methods for solving reaction-diffusion problems . Sandia Livermore Laboratories , Report No. SAND 78 – 8025 .
   Google Scholar
• Reitz , R. D. ( 1980 ). Computations of Laminar Flame Propagation Using an Explicit Numerical Method , 18th Symposium (International) on Combustion , The Combustion Institute , pp. 433 – 442 .
   Google Scholar
• Smooke , M. D. ( 1982 ). Solution of burner-stablized pre-mixed laminar flames by boundary value methods . Journal of Computational Physics 48 , 72 .
   Web of Science ®Google Scholar
• Smooke , M. D. , Miller , J. A. and Kee , R. J. ( 1982a ). On the use of adaptive grids in numerically calculating adiabatic flame speeds . In Numerical Methods in Laminar Flame Propagation , N. Peters and J. Warnatz (Eds.), (GAMM Workshop Vol. 6), Friedr . Viewag and Sohn , Wiesbaden .
   Google Scholar
• Smooke , M. D. , Miller , J. A. and Kee , R. J. ( l982b ). Numerical solution of burner-stabilized premixed laminar flames by an efficient boundary value method . In Numerical Methods in Laminar Flame Propagation , N. Peters and J. Warnatz (Eds.), (GAMM Workshop, Vol. 6), Friedr . Vieweg and Sohn , Wiesbaden .
   Google Scholar
• Smooke , M. D. , Miller , J. A. and Kee , R. J. ( 1983 ). Determination of adiabatic flame speeds by boundary value methods . Combustion Science and Technology 34 , 79 .
   Web of Science ®Google Scholar
• Warnatz , J. ( 1978a ). Calculation of the structure of laminar flat flames, I. Flame velocity of freely propagating ozone decomposition flames . Ber. Bunsenges. Phys. Chem . 82 , 193 .
   Web of Science ®Google Scholar
• Warnatz , J. ( 1978b ). Calculation of the structure of laminar flat flames, II. Flame velocity and structures of freely propagating hydrogen-oxygen and hydrogen-air flames . Ber. Bunsenges. Phys. Chem . 82 , 643 .
   Web of Science ®Google Scholar
• Warnatz , J. ( 1982 ). Discussion of Test Problem B. In Numerical Methods in Laminar Flame Propagation , N. Peters and J. Warnatz (Eds.), (GAMM Workshop, Vol. 6), Friedr . Vieweg and Sohn , Wiesbaden .
   Google Scholar
• Yanenko , N. N. ( 1971 ). The method of fractional steps . Springer-Verlag , New York .
   Google Scholar