A numerical algorithm for flame propagation in premixed gases

Applied Mathematics Letters

Volumn 14, Issue 4, 2001, Pages 487-493

  Hwang, Hyun Cheol ^a  

^a Gachon University   (South Korea)

Author keywords

Deflagration; Flame propagation; Front tracking; Hyperbolic conservation laws; Riemann problems

Indexed keywords

EID: 0035339814     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(00)00182-8     Document Type: Article

References (9)

1. Hwang H.C. A front tracking method for transitional shock waves. Mat. Contemp. 10:1996;149-167.
2. Williams F. Combustion Theory. 1965;Addison-Wesley, Reading, PA.
3. Hilditch J., Colella P. A front tracking method for compressible flames in one dimension. SIAM J. Sci. Stat. Comput. 16:1995;755-772.
4. Smiljanovski V., Klein R. Flame front tracking via in-cell reconstruction. Grove J.W., Glimm J., Graham M.J., Plohr B. Proceedings of the Fifth International Conference on Hyperbolic Problems Theory, Numerics, and Applications. 1995;World Scientific, London.
5. Teng Z.-H., Chorin A., Lin T.-P. Riemann problems for reacting gas with applications to transitions. SIAM J. Appl. Math. 42:1982;964-981.
6. Stoer J., Bulirsch R. Introduction to Numerical Analysis. 1992;Springer-Verlag, New York.
7. Friedman M., Doedel E. Numerical computation and continuation of invariant manifolds connecting fixed points. SIAM J. Numer. Anal. 28:1991;789-808.
8. Colella P., Majda A., Roytburd V. Theoretical and numerical structure for reacting shock waves. SIAM J. Sci. Stat. Comput. 7:1986;1059-1080.
9. Margolis S.B. Time-dependent solution of a premixed laminar flame. J. Comput. Phys. 27:1978;410-427.