Abstract
Professor Roe’s beautiful expository article in this volume can be easily read and used by a novice to the field of shock capturing. Our purpose here is to demonstrate that we can go beyond the second order accurate TVD barrier [7] and still suppress spurious numerical oscillations near discontinuities and other steep gradients.
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References
A. Harten, “Preliminary Results on the Extension of ENO Schemes to Two-Dimensional Problems”, in Proceedings of th International Conference on Hyperbolic Problems (Saint-Etienne, January 1986).
A. Harten and S. Osher, SIAM J. Numer. Anal 24, 279 (1987).
A. Harten, B. Engquist, S. Osher and S. Chakravarthy, J. Comput. Phys. 71, 231 (1987).
A. Harten, S. Osher, B. Engquist and S. Chakravarthy, Appl Numer. Math. 2, 347 (1986).
A. Harten, “Schemes with Subcell Resolutions”, ICASE Report 87–56 (August 1987).
A. Harten, in preparation.
S. Osher and S. Chakravarthy, SIAM J. Num. Anal. 21, 955 (1984).
C.-W. Shu and S. Osher, “Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes”, J. Comput. Phys, 77, 439, (1988).
C.-W. Shu and S. Osher, “Efficient Implementation of Essentially Non-Oscillatory Shock Capturing Schemes, II”, to appear, J. Comp. Phys. (1989).
S. Osher and C.-W. Shu, “ENO Shock Capturing Methods Applied to Turbulence Amplification in Shock Wave Calculations”, UCLA Report (1989).
H. Yang, Ph.D. Thesis, UCLA Math. Dept., 1988.
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© 1990 Kluwer Academic Publishers
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Osher, S., Shu, CW. (1990). High Order Accurate Modern Numerical Methods Applicable to Stellar Pulsations. In: Buchler, J.R. (eds) The Numerical Modelling of Nonlinear Stellar Pulsations. NATO ASI Series, vol 302. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0519-1_15
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DOI: https://doi.org/10.1007/978-94-009-0519-1_15
Publisher Name: Springer, Dordrecht
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