Abstract
We shall consider systems of hyperbolic partial differential equations,
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Abouseif, G. E. and Toong, T. Y., “Theory of Unstable One-Dimensional Detonations,” Combust. Flame, Vol. 45, 1982, pp. 67–94.
Ben-Artzi, M., “The Generalized Riemann Problem for Reactive Flows,” J. Comp. Phys., Vol. 81, 1989, pp. 70–101.
Bourlioux, A., Majda, A., and Roytburd, V., “Theoretical and Numerical Structure for Unstable One-Dimensional Detonations,” SIAM J. Appl. Math., Vol. 51, 1991, pp. 303–343.
Bull, D. C., Elsworth, J. E., Shuff, P. J., and Metcalfe, E., “Detonation Cell Structures in Fuel/Air Mixtures,” Combust. Flame, Vol. 45, 1982, pp. 7–22.
Colella, P, Majda, A., and Roytburd, V., “Theoretical and Numerical Structures for Reacting Shock Waves,” SIAM J. Sci. Stat. Comput., Vol. 7, 1986, pp. 1059–1080.
Desideri, J.-A., Glinsky, N., and Hettena, E., “Hypersonic Reactive Flow Computation,” Computers éff Fluids, Vol. 18, 1990, pp. 151–182.
Engquist, B. and Sjögreen, B., “High Order Shock Capturing Methods,” in Computational Fluid Dynamics Review, M. Hafez and K. Oshima, eds., John Wiley & Sons Ltd., 1995, pp. 210–233.
Harten, A., Osher, S., Engquist, B., and Chakravarthy, S., “Some Results on Uniformly High-Order Accurate Essentially Nonoscillatory Schemes,” Applied Numerical Mathematics, Vol. 2, 1986, pp. 347–377.
Kailasanath, K., Oran, E. S., Boris, J. P., and Young, T.R., “Determination of Detonation Cell Size and the Role of Transverse Waves in Two-Dimensional Detonations,” Combust. Flame, Vol. 61, 1985, pp. 199–209.
Shu, C.-W., “Numerical experiments on the accuracy of eno and modified eno schemes,” Journal of Scientific Computing, Vol. 5, 1990, pp. 127–149.
Shu, C.-W. and Osher, S., “Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes,” J. Comput. Phys., Vol. 77, 1988, pp. 439–471.
Strang, G., “Accurate Partial Difference Methods II,” Numerische Mathematik, Vol. 6, 1964, pp. 37–46.
Sweby, P., “High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws,” SIAM J. Numer. Anal., Vol. 21, 1984, pp. 995–1010.
Tegnér, J. K., “Properties of Detonation Waves,” Ph.D.Thesis, Royal Institute of Technology, Stockholm, Dec. 1992.
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Engquist, B., Sjögreen, B. (1998). Examples of Error Propagation from Discontinuities. In: Venkatakrishnan, V., Salas, M.D., Chakravarthy, S.R. (eds) Barriers and Challenges in Computational Fluid Dynamics. ICASE/LaRC Interdisciplinary Series in Science and Engineering, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5169-6_2
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DOI: https://doi.org/10.1007/978-94-011-5169-6_2
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