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Volumn 164, Issue 2, 2000, Pages 407-428

A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics

Author keywords

Operator split methods; Quasi steady state; Reacting flow; Stiff ODE

Indexed keywords

ASSOCIATION REACTIONS; COMBUSTION; INITIAL VALUE PROBLEMS; LINEAR STABILITY ANALYSIS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0345856686     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6605     Document Type: Article
Times cited : (114)

References (40)
  • 4
    • 33847090315 scopus 로고
    • A numerical technique for solving ordinary differential equations associated with the chemical kinetics of reactive-flow problems
    • Young T. R., Boris J. P. A numerical technique for solving ordinary differential equations associated with the chemical kinetics of reactive-flow problems. J. Phys. Chem. 81:1977;2424.
    • (1977) J. Phys. Chem. , vol.81 , pp. 2424
    • Young, T.R.1    Boris, J.P.2
  • 7
    • 0346422017 scopus 로고
    • A theoretical study of the ignition of premixed gasses
    • Kailasanath K., Oran E. S., Boris J. P. A theoretical study of the ignition of premixed gasses. Combust. Flame. 47:1982;173.
    • (1982) Combust. Flame , vol.47 , pp. 173
    • Kailasanath, K.1    Oran, E.S.2    Boris, J.P.3
  • 8
    • 0000319765 scopus 로고
    • Weak and strong ignition. I. Numerical simulations of shock tube experiments
    • Oran E. S., Young T. R., Boris J. P., Cohen A. Weak and strong ignition. I. Numerical simulations of shock tube experiments. Combust. Flame. 48:1982;135.
    • (1982) Combust. Flame , vol.48 , pp. 135
    • Oran, E.S.1    Young, T.R.2    Boris, J.P.3    Cohen, A.4
  • 9
    • 0000319764 scopus 로고
    • Weak and strong ignition. II. Sensitivity of the hydrogen-oxygen system
    • Oran E. S., Boris J. P. Weak and strong ignition. II. Sensitivity of the hydrogen-oxygen system. Combust. Flame. 48:1982;149.
    • (1982) Combust. Flame , vol.48 , pp. 149
    • Oran, E.S.1    Boris, J.P.2
  • 10
    • 0020909017 scopus 로고
    • Ignition of flamelets behind incident shock waves and the transition to detonation
    • Kailasanath K., Oran E. S. Ignition of flamelets behind incident shock waves and the transition to detonation. Combust. Sci. Technol. 34:1983;345.
    • (1983) Combust. Sci. Technol. , vol.34 , pp. 345
    • Kailasanath, K.1    Oran, E.S.2
  • 11
    • 85190569808 scopus 로고    scopus 로고
    • Load balancing and performance issues for the data parallel simulation of stiff chemical nonequilibrium flow
    • Weber J. W. Jr., Oran E. S., Anderson J. D. Jr., Patnaik G. Load balancing and performance issues for the data parallel simulation of stiff chemical nonequilibrium flow. AIAA J. 35:1998;147.
    • (1998) AIAA J. , vol.35 , pp. 147
    • Weber J.W., Jr.1    Oran, E.S.2    Anderson J.D., Jr.3    Patnaik, G.4
  • 14
    • 0005662011 scopus 로고
    • Numerical simulations of loops heated to solar flare temperatures. I. Gasdynamics
    • Cheng C.-C., Oran E. S., Doschek G. A., Boris J. P., Mariska J. T. Numerical simulations of loops heated to solar flare temperatures. I. Gasdynamics. Astrophys. J. 265:1983;1090.
    • (1983) Astrophys. J. , vol.265 , pp. 1090
    • Cheng, C.-C.1    Oran, E.S.2    Doschek, G.A.3    Boris, J.P.4    Mariska, J.T.5
  • 15
    • 0005662011 scopus 로고
    • Numerical simulations of loops heated to solar flare temperatures. II. X-ray and UV spectroscopy
    • Cheng C.-C., Oran E. S., Doschek G. A., Boris J. P., Mariska J. T. Numerical simulations of loops heated to solar flare temperatures. II. X-ray and UV spectroscopy. Astrophys. J. 265:1983;1103.
    • (1983) Astrophys. J. , vol.265 , pp. 1103
    • Cheng, C.-C.1    Oran, E.S.2    Doschek, G.A.3    Boris, J.P.4    Mariska, J.T.5
  • 16
    • 0030242411 scopus 로고    scopus 로고
    • CHEMSODE: A stiff ODE solver for the equations of chemical kinetics
    • Avro C. J. CHEMSODE: A stiff ODE solver for the equations of chemical kinetics. Comput. Phys. Commun. 97:1996;304.
    • (1996) Comput. Phys. Commun. , vol.97 , pp. 304
    • Avro, C.J.1
  • 17
    • 0033545504 scopus 로고    scopus 로고
    • Test of numerical methods for the integration of kinetic equations in tropospheric chemistry
    • Lorenzini R., Passoni L. Test of numerical methods for the integration of kinetic equations in tropospheric chemistry. Comput. Phys. Commun. 117:1999;241.
    • (1999) Comput. Phys. Commun. , vol.117 , pp. 241
    • Lorenzini, R.1    Passoni, L.2
  • 22
    • 0001180258 scopus 로고
    • An evaluation of explicit psuedo-steady-state approximation schemes for stiff ODE systems from chemical kinetics
    • Verwer J. G., van Loon M. An evaluation of explicit psuedo-steady-state approximation schemes for stiff ODE systems from chemical kinetics. J. Comput. Phys. 113:1994;347.
    • (1994) J. Comput. Phys. , vol.113 , pp. 347
    • Verwer, J.G.1    Van Loon, M.2
  • 23
    • 0002355170 scopus 로고
    • Explicit methods for stiff ODEs from atmospheric chemistry
    • Verwer J. G., Simpson D. Explicit methods for stiff ODEs from atmospheric chemistry. Appl. Numer. Math. 18:1995;413.
    • (1995) Appl. Numer. Math. , vol.18 , pp. 413
    • Verwer, J.G.1    Simpson, D.2
  • 24
    • 0030621832 scopus 로고    scopus 로고
    • Improved quasi-steady-state-approximation methods for atmospheric chemistry integration
    • Jay L. O., Sandu A., Porta F. A., Carmichael G. R. Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. SIAM J. Sci. Comput. 18:1997;182.
    • (1997) SIAM J. Sci. Comput. , vol.18 , pp. 182
    • Jay, L.O.1    Sandu, A.2    Porta, F.A.3    Carmichael, G.R.4
  • 25
    • 0347052392 scopus 로고
    • Fast algorithm for calculating chemical kinetics in turbulent reacting flow
    • Radhakrishnan K., Pratt D. T. Fast algorithm for calculating chemical kinetics in turbulent reacting flow. Combust. Sci. Technol. 58:1988;155.
    • (1988) Combust. Sci. Technol. , vol.58 , pp. 155
    • Radhakrishnan, K.1    Pratt, D.T.2
  • 26
    • 0002445594 scopus 로고
    • LSODE and LSODEI, two new initial value ordinary differential equation solvers
    • Hindmarsh A. C. LSODE and LSODEI, two new initial value ordinary differential equation solvers. ACM SIGNUM Newslett. 15:1980;10.
    • (1980) ACM SIGNUM Newslett. , vol.15 , pp. 10
    • Hindmarsh, A.C.1
  • 27
    • 0001811061 scopus 로고
    • ODEPACK: A systemized collection of ODE solvers
    • edited by R. S. Steplemanet al.North-Holland, Amsterdam, [Also UCRL-880-07, Lawrence Livermore Laboratory, Livermore, CA, 1993]
    • A. C. Hindmarsh, ODEPACK: A systemized collection of ODE solvers, in Scientific Computing, edited by R. S. Steplemanet al.North-Holland, Amsterdam, 1983, pp. 55-64. [Also UCRL-880-07, Lawrence Livermore Laboratory, Livermore, CA, 1993].
    • (1983) In Scientific Computing , pp. 55-64
    • Hindmarsh, A.C.1
  • 29
    • 0037859232 scopus 로고
    • New integration techniques for chemical kinetic rate equations. I. Efficiency comparison
    • Radhakrishnan K. New integration techniques for chemical kinetic rate equations. I. Efficiency comparison. Combust. Sci. Technol. 46:1986;59.
    • (1986) Combust. Sci. Technol. , vol.46 , pp. 59
    • Radhakrishnan, K.1
  • 31
    • 0028407615 scopus 로고
    • The CSP method for simplifying kinetics
    • Lam S. H., Goussis D. A. The CSP method for simplifying kinetics. Int. J. Chem. Kinet. 26:1994;461.
    • (1994) Int. J. Chem. Kinet. , vol.26 , pp. 461
    • Lam, S.H.1    Goussis, D.A.2
  • 32
    • 0026685993 scopus 로고
    • Optimization and analysis of large chemical kinetic mechanisms using the solution mapping method - Combustion of methane
    • Frenklach M., Wang H., Rabinowitz M. J. Optimization and analysis of large chemical kinetic mechanisms using the solution mapping method - Combustion of methane. Prog. Energy Combust. Sci. 18:1992;47.
    • (1992) Prog. Energy Combust. Sci. , vol.18 , pp. 47
    • Frenklach, M.1    Wang, H.2    Rabinowitz, M.J.3
  • 33
    • 85190572411 scopus 로고    scopus 로고
    • A grid refinement study for detonation simulation with detailed chemistry
    • New Orleans, March 4-6
    • U. Uphoff, D. Hänel, and, P. Roth, A grid refinement study for detonation simulation with detailed chemistry, in, Proc. of 6th Int. Conf. Numerical Combustion, New Orleans, March 4-6, 1996.
    • (1996) In, Proc. of 6th Int. Conf. Numerical Combustion
    • Uphoff, U.1    Hänel, D.2    Roth, P.3
  • 35
    • 0001761680 scopus 로고
    • A semi-implicit midpoint rule for stiff systems of ordinary differential equations
    • Deuflhard P. A semi-implicit midpoint rule for stiff systems of ordinary differential equations. Numer. Math. 41:1983;373.
    • (1983) Numer. Math. , vol.41 , pp. 373
    • Deuflhard, P.1
  • 36
    • 0001621704 scopus 로고
    • Order and stepsize control in extrapolation methods
    • Deuflhard P. Order and stepsize control in extrapolation methods. Numer. Math. 41:1983;399.
    • (1983) Numer. Math. , vol.41 , pp. 399
    • Deuflhard, P.1
  • 40
    • 0001966953 scopus 로고
    • The SLATEC mathematical subroutine library
    • Vandevender W. H., Haskell K. H. The SLATEC mathematical subroutine library. SIGNUM Newslett. 17:September 1982;16.
    • (1982) SIGNUM Newslett. , vol.17 , pp. 16
    • Vandevender, W.H.1    Haskell, K.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.