Comparison and analysis of some numerical schemes for stiff complex chemistry problems

Yves D'Angelo; Bernard Larrouturou

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1995)

  • Volume: 29, Issue: 3, page 259-301
  • ISSN: 0764-583X

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D'Angelo, Yves, and Larrouturou, Bernard. "Comparison and analysis of some numerical schemes for stiff complex chemistry problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 29.3 (1995): 259-301. <http://eudml.org/doc/193774>.

@article{DAngelo1995,
author = {D'Angelo, Yves, Larrouturou, Bernard},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {implicit schemes; linearized methods; finite-volume solution; multi- dimensional multi-species reactive flows; fractional step approach; air- hydrogen chemistry models; LSODE; DASSL},
language = {eng},
number = {3},
pages = {259-301},
publisher = {Dunod},
title = {Comparison and analysis of some numerical schemes for stiff complex chemistry problems},
url = {http://eudml.org/doc/193774},
volume = {29},
year = {1995},
}

TY - JOUR
AU - D'Angelo, Yves
AU - Larrouturou, Bernard
TI - Comparison and analysis of some numerical schemes for stiff complex chemistry problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1995
PB - Dunod
VL - 29
IS - 3
SP - 259
EP - 301
LA - eng
KW - implicit schemes; linearized methods; finite-volume solution; multi- dimensional multi-species reactive flows; fractional step approach; air- hydrogen chemistry models; LSODE; DASSL
UR - http://eudml.org/doc/193774
ER -

References

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  1. [1] Y. D'ANGELO, Simulation numérique de phénomènes liés à la combustion supersonique, Thèse, ENPC, Paris (1994). 
  2. [2] J. A. DESIDERI, N. GLINSKY & E. HETTENA, Hypersonic reactive flow computation, Comp. Fluids, 18, (2), 1990, pp. 151-182. 
  3. [3] J. A. DESIDERI, N. GLINSKY & L. FEZOUI, Numerical computation of the chemical dissociation and relaxation phenomena behind a detached strong shock, INRIA Report 774, 1987. 
  4. [4] M. GHILANI & B. LARROUTUROU, Upwind computation of steady planar flames with complex chemistry, Mod. Math. Anal. Num., 25, (1), 1991, pp. 67-92. Zbl0717.65109MR1086841
  5. [5] A. C. HlNDMARSH, ODEPACK, a systematized collection of ODE solvers, IMACS Trans. on Sc. Comp., Stepleman et al. eds., pp.55-64, North-Holland, Amsterdam, 1983. MR751604
  6. [6] R. J. KEE, J. A. MILLER & T. H. JEFFERSON, CHEMKIN : a general purpose, problem-independent, transportable, FORTRAN chemical kinetics code package, SANDIA Report SAND83-8209, 1983. 
  7. [7] B. LARROUTUROU, How to preserve mass fractions positivity when Computing compressible multi-component flows, J. Comp. Phys., 95, (1), 1991, pp. 59-84. Zbl0725.76090MR1112315
  8. [8] C. P. LI, Implicit methods for Computing chemically reacting flows, NASA Techn. Mem. 58274, Houston, 1986. 
  9. [9] L. R. PETZOLD, A Description of DASSL : a differential/algebraic System solver, IMACS Trans. on Sc. Comp., Stepleman et al. eds.,North-Holland, Amsterdam, 1983. MR751605
  10. [10] M. D. SMOOKE, A. A. TURNBULL, R. E. MITCHELL & D. E. KEYES, Solution of two-dimensional axisymmetric laminar diffusion flames by adaptive boundary value methods, Mathematical modelling in combustion and related topics, Brauner & Schmidt-Lainé eds., pp.261-300, NATO ASI Series E, Nijhoff, Doordrecht, 1988. 
  11. [11] R. S. VARGA, Matrix iterative analysis, Prentice Hall, 1962. Zbl0133.08602MR158502
  12. [12] F. M. WHITE, Viscous fluid flow (second edition), McGraw-Hill, New-York, 1991. Zbl0356.76003

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