Shock-fitted multidomain solution of supersonic flows

Computer Methods in Applied Mechanics and Engineering

Volumn 175, Issue 3-4, 1999, Pages 383-394

  Kopriva, David A ^a  

^a FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY LAYER FLOW; PROBLEM SOLVING; SPECTRUM ANALYSIS;

DISCONTINUOUS SHOCK; SHOCK FITTING; SPECTRAL DOMAIN DECOMPOSITION;

SUPERSONIC FLOW;

COMPUTATIONAL FLUID DYNAMICS; SHOCK; SUPERSONIC FLOW;

EID: 0033516451     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00362-4     Document Type: Article

References (34)

1. [1] C. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang. Spectral Methods in Fluid Dynamics (Springer-Verlag, New York, 1987).
2. [2] J. Caspar and M.H. Carpenter. Computational considerations for the simulation of shock-induced sound, Technical Report NASA TM 110222, 1995.
3. [3] J.W. Cleary, An experimental and theoretical investigation of the pressure distribution and flow fields of blunted cones at hypersonic mach number. Technical Report NASA TN D-2969, 1965.
4. [4] J.W. Cleary, Effects of angle of attack and bluntness on laminar heating-rate distributions on a 15° cone at a mach number of 10.6, Technical Report NASA TN D-5450, October 1969.
5. [5] G. Emanuel and M.-S Liu. Shock wave derivatives, Phys. Fluids 31 (1988) 3625-3633.
6. [6] G. Erlebacher, M.Y. Hussaini and C-W Shu, Interaction of a shock with a longitudinal vortex, J. Fluid Mech.
7. [7] D. Gottlieb and S.A. Orszag. Numerical Analysis of Spectral Methods: Theory and Applications (SIAM, PA, 1977).
8. [8] B. Gustaffson and A. Sundstrom. Incompletely parabolic problems in fluid dynamics, SIAM J. Appl. Math. 35 (1978) 343-357.
9. [9] Z. Han and X. Yin. Shock Dynamics (Kluwer Academic Publishers, Dordrecht, The Netherlands, 1993).
10. [10] M.Y. Hussaini, D.A. Kopriva, M.D. Salas and T.A. Zang. Spectral methods for the Euler equations: part II. Chebyshev methods and shock-fitting, AIAA J. 23(2) (1985) 234-240.
11. [11] M.Y. Hussaini, M.D. Salas and T.A. Zang. Spectral methods for inviscid, compressible flows, in: W.G. Habashi, ed., Advances in Computational Transonics (Pineridge Press, Swansea, 1984).
12. [12] C.P. Kentzer. Discretization of boundary conditions on moving discontinuities, in: C.M. Holt, ed., Proc. Second Int. Conf. on Numerical Methods in Fluid Dynamics (Springer, Berlin, 1971) 108-113.
13. [13] D.A. Kopriva, Shock-fitted euler solutions to shock-vortex interactions, in: D. Lee et al., ed., Computational Acoustics: Algorithms and Applications (Elsevier, Amsterdam, 1988) 377-378.
14. [14] D.A. Kopriva, A spectral multidomain method for the Euler gas-dynamics equations, J. Comput. Phys. 96 (1991) 428.
15. [15] D.A. Kopriva, Spectral solution of inviscid supersonic flows over wedges and axisymmetric cones. Comput. Fluids 21(2) (1992) 247-266.
16. [16] D.A. Kopriva, Spectral solution of the viscous blunt body problem, AIAA J. 31(7) (1993) 1235-1242.
17. [17] D.A. Kopriva, Spectral solutions of high-speed flows over blunt cones, AIAA J. 31(12) (1993) 2227-2231.
18. [18] D.A. Kopriva. Multidomain spectral solution of compressible viscous flows, J. Comput. Phys. 115 (1994) 184-199.
19. [19] D.A. Kopriva. Spectral solution of the viscous blunt body problem 2: Multidomain approximation. AIAA J. 34(3) (1996) 560-564.
20. [20] D.A. Kopriva and M.Y. Hussaini, Multidomain spectral solution of shock-turbulence interactions, in: T.F. Chan, R. Glowinski, J. Periaux and O.B. Widlund, ed., Domain Decomposition Methods (SIAM, PA, 1989) 340-350.
21. [21] D.A. Kopriva, T.A. Zang and M.Y. Hussaini. Spectral methods for the Euler equations: The blunt body problem revisited. AIAA J. 29(9) (1991) 1458-1462.
22. [22] G. Moretti, Shock computations, in: Annual Review of Fluid Mechanics, Annual Reviews, Palo Alto.
23. [23] G. Moretti, Circumspect exploration of multidimensional imbedded shocks, AIAA J. 14(7) (1976) 894-899.
24. [24] G. Moretti and M. Abbett. A time-dependent computational method for blunt body flows, AIAA J. 4 (1966) 2136-2141.
25. [25] G. Moretti, Thoughts and afterthoughts about shock computations, PIBAL Rept. 72-37, Polytechnic Institute of Brooklyn, New York, Dec. 1968.
26. [26] G. Moretti, Experiments in multidimensional floating shock-fitting, PIBAL Rept. 73-18, Polytechnic Institute of Brooklyn, New York, August 1973.
27. [27] G. Moretti and M.D. Salas. The blunt body problem of a rarefied gas flow, AIAA-Paper 69-139, 1969.
28. [28] G.M. Ryabinkov, Experimental investigation of flow around solids of revolution in a supersonic gas flow, in: O.M. Berlotserkowsky, ed., Supersonic Gas Flow Around Blunt Bodies, NASA TT F-453 (1967) 255-316.
29. [29] M.D. Salas, T.A. Zang and M.Y. Hussaini. Shock-fitted euler solutions to shock-vortex interactions, in: E. Krausse, ed., Eighth Int. Conf. on Numerical Methods in Fluid Dynamics, Lecture Notes in Physics, Vol. 141 (Springer-Verlag, New York, 1982) 461-467.
30. [30] L.H. Thomas, Computation of one-dimensional compressible flows including shocks, Comm. Pure Appl. Math. 7 (1954) 195.
31. [31] J.-P. Wang, Y. Nakamura, and M. Yashuhara. Global coefficient adjustment method for Neumann condition and its application to compressible Navier-Stokes equations, J. Comput. Phys. 107(1) (1993) 160-175.
32. [32] F.M. White. Viscous Fluid Flow (McGraw-Hill, New York, 1974).
33. [33] T.A. Zang, D.A. Kopriva and M.Y. Hussaini. Pseudospectral calculation of shock turbulence interactions, in: C. Taylor, ed., Proc. Third Int. Conf. on Numerical Methods in Laminar and Turbulent Flow (Pineridge Press, Swansea, Wales, 1983) 210-220.
34. [34] X. Zhong. Direct numerical simulation of hypersonic boundary-layer transition over blunt leading edges, Part II: Receptivity to sound, AIAA-Paper 97-0756, 1997.