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Volumn 213, Issue 1, 2006, Pages 311-329

Simulations of pulsating one-dimensional detonations with true fifth order accuracy

Author keywords

Bifurcation; Detonation; Mapped WENO; Shock fitting; Stability; WENO

Indexed keywords

ACTIVATION ENERGY; BIFURCATION (MATHEMATICS); COMPUTATIONAL FLUID DYNAMICS; DYNAMICAL SYSTEMS; LINEAR CONTROL SYSTEMS; REACTION KINETICS; SHOCK WAVES;

EID: 31744449079     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.08.013     Document Type: Article
Times cited : (115)

References (34)
  • 1
    • 85190147209 scopus 로고    scopus 로고
    • Highly accurate numerical simulations of pulsating one-dimensional detonations
    • 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2005-1311
    • A.K. Henrick, T.D. Aslam, J.M. Powers, Highly accurate numerical simulations of pulsating one-dimensional detonations, in: 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2005-1311, 2005.
    • (2005)
    • Henrick, A.K.1    Aslam, T.D.2    Powers, J.M.3
  • 2
    • 11144290163 scopus 로고    scopus 로고
    • Pulsating one-dimensional detonations in hydrogen-air mixtures
    • S. Yungster K. Radhakrishnan Pulsating one-dimensional detonations in hydrogen-air mixtures Combustion Theory and Modelling 8 4 2004 745-770
    • (2004) Combustion Theory and Modelling , vol.8 , Issue.4 , pp. 745-770
    • Yungster, S.1    Radhakrishnan, K.2
  • 3
    • 18944364049 scopus 로고    scopus 로고
    • Accurate spatial resolution estimates for reactive supersonic flow with detailed chemistry
    • J.M. Powers S. Paolucci Accurate spatial resolution estimates for reactive supersonic flow with detailed chemistry AIAA Journal 43 5 2005 1088-1099
    • (2005) AIAA Journal , vol.43 , Issue.5 , pp. 1088-1099
    • Powers, J.M.1    Paolucci, S.2
  • 4
    • 45449125925 scopus 로고
    • Efficient implementation of essentially nonoscillatory schemes for hyperbolic conservation laws
    • C.-W. Shu S. Osher Efficient implementation of essentially nonoscillatory schemes for hyperbolic conservation laws Journal of Computational Physics 77 2 1988 439-471
    • (1988) Journal of Computational Physics , vol.77 , Issue.2 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 5
    • 18844441718 scopus 로고    scopus 로고
    • Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
    • A.K. Henrick T.D. Aslam J.M. Powers Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points Journal of Computational Physics 207 2 2005 542-567
    • (2005) Journal of Computational Physics , vol.207 , Issue.2 , pp. 542-567
    • Henrick, A.K.1    Aslam, T.D.2    Powers, J.M.3
  • 6
    • 30744478880 scopus 로고    scopus 로고
    • Constructing high-order Runge-Kutta methods with embedded strong-stability-preserving pairs
    • Master''s thesis, Simon Fraser University
    • C.B. Macdonald, Constructing high-order Runge-Kutta methods with embedded strong-stability-preserving pairs, Master''s thesis, Simon Fraser University, 2003.
    • (2003)
    • Macdonald, C.B.1
  • 7
    • 36849125822 scopus 로고
    • Stability of steady-state equilibrium detonations
    • J.J. Erpenbeck Stability of steady-state equilibrium detonations Physics of Fluids 5 5 1962 604-614
    • (1962) Physics of Fluids , vol.5 , Issue.5 , pp. 604-614
    • Erpenbeck, J.J.1
  • 8
    • 0000296180 scopus 로고
    • Flow calculations for pulsating one-dimensional detonations
    • W. Fickett W.W. Wood Flow calculations for pulsating one-dimensional detonations Physics of Fluids 9 1966 903-916
    • (1966) Physics of Fluids , vol.9 , pp. 903-916
    • Fickett, W.1    Wood, W.W.2
  • 9
    • 0025461755 scopus 로고
    • Calculation of linear detonation instability: One-dimensional instability of plane detonation
    • H.I. Lee D.S. Stewart Calculation of linear detonation instability: one-dimensional instability of plane detonation Journal of Fluid Mechanics 216 1990 103-132
    • (1990) Journal of Fluid Mechanics , vol.216 , pp. 103-132
    • Lee, H.I.1    Stewart, D.S.2
  • 10
    • 0026142448 scopus 로고
    • Theoretical and numerical structure for unstable one-dimensional detonations
    • A. Bourlioux A.J. Majda V. Roytburd Theoretical and numerical structure for unstable one-dimensional detonations SIAM Journal on Applied Mathematics 51 2 1991 303-343
    • (1991) SIAM Journal on Applied Mathematics , vol.51 , Issue.2 , pp. 303-343
    • Bourlioux, A.1    Majda, A.J.2    Roytburd, V.3
  • 11
    • 0029140183 scopus 로고
    • The dynamical limit of one-dimensional detonations
    • L. He J.H.S. Lee The dynamical limit of one-dimensional detonations Physics of Fluids 7 5 1995 1151-1158
    • (1995) Physics of Fluids , vol.7 , Issue.5 , pp. 1151-1158
    • He, L.1    Lee, J.H.S.2
  • 12
    • 0030087301 scopus 로고    scopus 로고
    • On the dynamics of multi-dimensional detonation
    • J. Yao D.S. Stewart On the dynamics of multi-dimensional detonation Journal of Fluid Mechanics 309 1996 225-275
    • (1996) Journal of Fluid Mechanics , vol.309 , pp. 225-275
    • Yao, J.1    Stewart, D.S.2
  • 13
    • 0031119167 scopus 로고    scopus 로고
    • Multidimensional linear stability of a detonation wave at high activation energy
    • M. Short Multidimensional linear stability of a detonation wave at high activation energy SIAM Journal on Applied Mathematics 57 2 1997 307-326
    • (1997) SIAM Journal on Applied Mathematics , vol.57 , Issue.2 , pp. 307-326
    • Short, M.1
  • 16
    • 0034520114 scopus 로고    scopus 로고
    • Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations
    • G.J. Sharpe S.A.E.G. Falle Numerical simulations of pulsating detonations: I. Nonlinear stability of steady detonations Combustion Theory and Modelling 4 4 2000 557-574
    • (2000) Combustion Theory and Modelling , vol.4 , Issue.4 , pp. 557-574
    • Sharpe, G.J.1    Falle, S.A.E.G.2
  • 17
    • 0347270199 scopus 로고    scopus 로고
    • A level set algorithm for tracking discontinuities in hyperbolic conservation laws II: Systems of equations
    • T.D. Aslam A level set algorithm for tracking discontinuities in hyperbolic conservation laws II: Systems of equations Journal of Scientific Computing 19 1-3 2003 37-62
    • (2003) Journal of Scientific Computing , vol.19 , Issue.1-3 , pp. 37-62
    • Aslam, T.D.1
  • 18
    • 7244254355 scopus 로고    scopus 로고
    • On the dynamics of self-sustained onedimensional detonations: A numerical study in the shock-attached frame
    • A.R. Kasimov D.S. Stewart On the dynamics of self-sustained onedimensional detonations: A numerical study in the shock-attached frame Physics of Fluids 16 10 2004 3566-3578
    • (2004) Physics of Fluids , vol.16 , Issue.10 , pp. 3566-3578
    • Kasimov, A.R.1    Stewart, D.S.2
  • 20
    • 84980156136 scopus 로고
    • Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations
    • A. Majda S. Osher Propagation of error into regions of smoothness for accurate difference approximations to hyperbolic equations Communications on Pure and Applied Mathematics 30 6 1977 671-705
    • (1977) Communications on Pure and Applied Mathematics , vol.30 , Issue.6 , pp. 671-705
    • Majda, A.1    Osher, S.2
  • 21
    • 0000715330 scopus 로고    scopus 로고
    • Computational consideration for the simulation of shock-induced sound
    • J. Casper M.H. Carpenter Computational consideration for the simulation of shock-induced sound SIAM Journal on Scientific Computing 19 3 1998 818-828
    • (1998) SIAM Journal on Scientific Computing , vol.19 , Issue.3 , pp. 818-828
    • Casper, J.1    Carpenter, M.H.2
  • 22
    • 0033197445 scopus 로고    scopus 로고
    • Accuracy of shock capturing in two spatial dimensions
    • M.H. Carpenter J.H. Casper Accuracy of shock capturing in two spatial dimensions AIAA Journal 37 9 1999 1072-1079
    • (1999) AIAA Journal , vol.37 , Issue.9 , pp. 1072-1079
    • Carpenter, M.H.1    Casper, J.H.2
  • 23
    • 85190091698 scopus 로고    scopus 로고
    • Exact solutions for two-dimensional reactive flow for verification of numerical algorithms
    • 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2005-1173 to appear in the AIAA Journal
    • J.M. Powers, T.D. Aslam, Exact solutions for two-dimensional reactive flow for verification of numerical algorithms, in: 43rd AIAA Aerospace Sciences Meeting and Exhibit, AIAA Paper 2005-1173, 2005, to appear in the AIAA Journal.
    • (2005)
    • Powers, J.M.1    Aslam, T.D.2
  • 24
    • 0026224175 scopus 로고
    • Spectral methods for the Euler equations: The blunt body problem revisited
    • D.A. Kopriva T.A. Zang M.Y. Hussaini Spectral methods for the Euler equations: The blunt body problem revisited AIAA Journal 29 9 1991 1458-1462
    • (1991) AIAA Journal , vol.29 , Issue.9 , pp. 1458-1462
    • Kopriva, D.A.1    Zang, T.A.2    Hussaini, M.Y.3
  • 25
    • 2942625638 scopus 로고    scopus 로고
    • Standardized pseudospectral formulation of the inviscid supersonic blunt body problem
    • G.P. Brooks J.M. Powers Standardized pseudospectral formulation of the inviscid supersonic blunt body problem Journal of Computational Physics 197 1 2004 58-85
    • (2004) Journal of Computational Physics , vol.197 , Issue.1 , pp. 58-85
    • Brooks, G.P.1    Powers, J.M.2
  • 27
    • 0004064379 scopus 로고
    • Berkeley, CA: University of California Press
    • W. Fickett W. Davis Detonation 1979 University of California Press Berkeley, CA
    • (1979) Detonation
    • Fickett, W.1    Davis, W.2
  • 28
    • 0001816458 scopus 로고
    • Quantitative universality for a class of non-linear transformations
    • M.J. Feigenbaum Quantitative universality for a class of non-linear transformations Journal of Statistical Physics 19 1 1978 25-52
    • (1978) Journal of Statistical Physics , vol.19 , Issue.1 , pp. 25-52
    • Feigenbaum, M.J.1
  • 29
    • 0347447535 scopus 로고
    • The universal metric properties of nonlinear transformations
    • M.J. Feigenbaum The universal metric properties of nonlinear transformations Journal of Statistical Physics 21 6 1979 669-706
    • (1979) Journal of Statistical Physics , vol.21 , Issue.6 , pp. 669-706
    • Feigenbaum, M.J.1
  • 31
    • 0030161771 scopus 로고    scopus 로고
    • Efficient implementation of weighted ENO schemes
    • G.-S. Jiang C.-W. Shu Efficient implementation of weighted ENO schemes Journal of Computational Physics 126 1 1996 202-228
    • (1996) Journal of Computational Physics , vol.126 , Issue.1 , pp. 202-228
    • Jiang, G.-S.1    Shu, C.-W.2
  • 34
    • 0004184873 scopus 로고
    • New York: Cambridge University Press
    • P.G. Drazin Nonlinear Systems 1992 Cambridge University Press New York
    • (1992) Nonlinear Systems
    • Drazin, P.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.