The accuracy of shock capturing in two spatial dimensions

13th Computational Fluid Dynamics Conference

Volumn , Issue , 1997, Pages 488-498

  Carpenter, Mark H ^a   Casper, Jay H ^b  

^a NASA LANGLEY RESEARCH CENTER   (United States)

^b OLD DOMINION UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLUID DYNAMICS;

DISCONTINUOUS FLOW; FOURTH-ORDER METHOD; HIGH-ORDER NUMERICAL METHOD; SHOCK CAPTURING SCHEME; SHOCK-CAPTURING; SPATIAL DIMENSION; THIRD ORDER METHODS; TWO-DIMENSIONAL STEADY FLOW;

NUMERICAL METHODS;

EID: 84982318896     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (11)

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2. Casper, J., and Carpenter, M. H., "Computational Considerations for the Simulation of Shock-Induced Sound, " NASA TM 110222, Dec., 1995, to appear SIAM J. of Sci. Comput., Vol. 19, No. 1, January, 1998.
3. Carpenter, M. H., and Casper, J., "Computational Considerations for the Simulation of Discontinuous Flows, " Barriers and Challenges in Computational Fluid Dynamics, V. Venkatakrishnan, ed., Kluwer Academic Publishing, 1997.
4. Kopriva, David A., "Spectral Methods for the Euler Equations-The Blunt Body Problem Revisited, ", 47, 4, 4 Journal, Vol. 29, Sept. 1991, pp. 1458-1462.
5. Carpenter, M. H., Gottlieb, D., and Abarbanel, S., "The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes, " Journal of Computation Physics, Vol. 108, No. 2, October, 1993.
6. Carpenter, M. H., Atkins, H. L. and Singh, D. J., "Characteristic and Finite-Wave Shock-Fitting Boundary Conditions for Chebyshev Methods, " Transition, Turbulence, and Combustion, Vol. II, M. Y. Hussaini, T. B. Gatski, and T. L. Jackson, eds., Kluwer Academic Publishers, 1994.
7. Casper, J. and Atkins, H. "A Finite-Volume High-Order ENO Scheme for Two-Dimensional Hyperbolic Systems, " Journal of Computational Physics, Vol. 106, pp. 62-76, May, 1993.
8. Casper, J., Shu, C., and Atkins, H. "A Comparison of Two Formulations for High-Order Accurate Essentially Non-Oscillatory Schemes, " AIAA Journal, Vol. 32, No. 10, Oct., 1994., pp. 1970-1977.
9. Shu, C. and Osher, S., "Efficient Implementation of Essentially Non-Oscillatory Shock-Capturing Schemes, " Journal of Computational Physics, Vol. 77, No. 2, 1988, pp. 439-471.
10. P. L. Roe, "Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, " Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
11. Harten, A., Lax, P., and Van Leer, B. "On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws, " SIAM Review, Vol 25, 1983, pp. 35-61.