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Original Articles

Characteristic boundary conditions for simulations of compressible reacting flows with multi-dimensional, viscous and reaction effects

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Pages 259-286 | Received 15 Feb 2006, Accepted 29 Jun 2006, Published online: 21 Dec 2010

References

  • Engquist , E. and Majda , A. 1977 . Absorbing boundary conditions for the numerical simulation of waves . Mathematics of Computation , 31 : 629 – 651 . [CSA]
  • Hedstrom , G. W. 1979 . Non-reflecting boundary conditions for nonlinear hyperbolic systems . Journal of Computational Physics , 30 : 222 – 237 . [CSA] [CROSSREF]
  • Rudy , D. H. and Strikwerda , J. C. 1980 . A non-reflecting outflow boundary condition for subsonic Navier–Stokes calculations . Journal of Computational Physics , 36 : 55 – 70 . [CSA] [CROSSREF]
  • Rudy , D. H. and Strikwerda , J. C. 1981 . Boundary Conditions for Subsonic Compressible Navier–Stokes Calculations . Computers and Fluids , 9 : 327 – 338 . [CSA] [CROSSREF]
  • Thompson , K. W. 1987 . Time-dependent boundary conditions for hyperbolic systems . Journal of Computational Physics , 68 : 1 – 24 . [CSA] [CROSSREF]
  • Thompson , K. W. 1990 . Time-dependent boundary conditions for hyperbolic systems II . Journal of Computational Physics , 89 : 439 – 461 . [CSA] [CROSSREF]
  • Poinsot , T. J. and Lele , S. K. 1992 . Boundary conditions for direct simulations of compressible viscous flows . Journal of Computational Physics , 101 : 104 – 139 . [CSA] [CROSSREF]
  • Strikwerda , J. C. 1977 . Initial boundary-value problems for incompletely parabolic systems . Communication on Pure and Applied Mathematics , 9 : 797 – 822 . [CSA]
  • Gustafsson , B. and Sundström , A. 1987 . Incompletely parabolic problems in fluid-dynamics . SIAM Journal on Applied Mathematics , 35 : 343 – 357 . [CSA] [CROSSREF]
  • Oliger , J. and Sundström , A. 1978 . Theoretical and practical aspects of some initial boundary-value problems in fluid-dynamics . SIAM Journal on Applied Mathematics , 35 : 419 – 446 . [CSA] [CROSSREF]
  • Halpern , L. 1991 . Artificial boundary conditions for incompletely parabolic perturbations of hyperbolic systems . SIAM Journal on Mathematical Analysis , 22 : 1256 – 1283 . [CSA] [CROSSREF]
  • Dutt , P. 1988 . Stable boundary conditions in and difference schemes for Navier–Stokes equations . SIAM Journal on Numerical Analysis , 25 : 245 – 267 . [CSA] [CROSSREF]
  • Baum , M. , Poinsot , T. J. and Thévenin , D. 1994 . Accurate boundary conditions for multi component reactive flows . Journal of Computational Physics , 176 : 247 – 261 . [CSA]
  • Okong'o , N. and Bellan , J. 1994 . Consistent boundary conditions for multicomponent real gas mixtures based on characteristic waves . Journal of Computational Physics , 176 : 330 – 344 . [CSA]
  • Poinsot , T. J. and Veynante , D. 2001 . Theoretical and Numerical Combustion , Philadelphia, PA : R.T. Edwards Inc. .
  • Sutherland , J. C. and Kennedy , C. A. 2003 . Improved boundary conditions for viscous, reacting, compressible flows . Journal of Computational Physics , 191 : 502 – 524 . [CSA] [CROSSREF]
  • Yoo , C. S. , Wang , Y. , Trouvé , A. and Im , H. G. 2005 . Characteristic boundary conditions for direct numerical simulations of turbulent counterflow flames . Combustion Theory and Modelling , 9 : 617 – 646 . [CSA] [CROSSREF]
  • Nicoud , F. 1999 . Defining wave amplitude in characteristic boundary conditions . Journal of Computational Physics , 148 : 418 – 422 . [CSA] [CROSSREF]
  • Valorani , M. and Favini , B. 1998 . On the numerical integration of multi-dimensional, initial boundary value problems for the Euler equations in quasi-linear form . Numerical Methods for Partial Differential Equations , 14 : 781 – 814 . [CSA] [CROSSREF]
  • Prosser , R. and Schlüter , J. Toward improved boundary conditions DNS and LES of turbulent subsonic flows . Proceedings of Summer Program . pp. 395 – 410 . Center for Turbulence Research, Stanford University .
  • Prosser , R. 2005 . Improved boundary conditions for the direct numerical simulation of turbulent subsonic flows. I. Inviscid flows . Journal of Computational Physics , 207 : 736 – 768 . [CSA] [CROSSREF]
  • Mueller , M. A. , Yetter , R. A. and Dryer , F. L. 1998 . Measurement of the rate constant for H+O2+ M → HO2+M (M = N2, Ar) using kinetic modeling of the high-pressure H2/O2/NO x reaction . Proceedings of Combustion Institute , 27 : 177 – 184 . [CSA]
  • Müller , B. 1999 . Low Mach number asymptotics of the Navier–Stokes equations and numerical implications , 30th Computational Fluid Dynamics Lecture Series 1999–03 8–12 March. Available online at http://user.it.nu.se/∼bernd/vki_ls_cfd_1999_1.pdf (accessed 1 November 2006)
  • Giles , M. B. 1990 . Nonreflecting boundary conditions for Euler equation calculations . AIAA Journal , 28 : 2050 – 2058 . [CSA]
  • Yoo , C. S. and Im , H. G. 2005 . Transient dynamics of edge flames in a laminar nonpremixed hydrogen–air counterflow . Proceedings of Combustion Institute , 30 : 349 – 356 . [CSA] [CROSSREF]
  • Hinze , J. O. 1975 . Turbulence, , 2nd edition , New York : McGraw-Hill .
  • Colonius , T. 2004 . Modeling artificial boundary conditions for compressible flow . Annual Review of Fluid Mechanics , 36 : 315 – 345 . [CSA] [CROSSREF]
  • Hirsch , C. 1990 . Numerical Computation of Internal and External Flow , Vol 2 , New York : Wiley .
  • Kee , R. J. , Grcar , J. F. , Smooke , M. D. and Miller , J. A. 1985 . A Fortran Program for Modeling Steady Laminar One-Dimensional Premixed Flames Sandia National Laboratories Report SAND85-8240

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