A high-resolution hybrid compact-eno scheme for shock-turbulence interaction problems

Journal of Computational Physics

Volumn 127, Issue 1, 1996, Pages 27-51

  Adams, N A ^a,b   Shariff, K ^a  

^a NASA AMES RESEARCH CENTER   (United States)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

COMPACT SCHEMES; CONVECTION PROBLEM; DIRECT-NUMERICAL-SIMULATION; FINITE DIFFERENCE SCHEME; FLUID CONVECTION; HIGH RESOLUTION; INTERACTION PROBLEMS; PROPERTY; TIME-ACCURATE; TURBULENCE INTERACTIONS;

FINITE DIFFERENCE METHOD;

EID: 0030215536     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0156     Document Type: Article

References (52)

1. 1. N. A. Adams, "Numerical Study of Boundary Layer Interaction with Shocks-Method and Code Validation," in CTR Annual Research Briefs 1994, Center for Turbulence Research, Stanford University and NASA Ames Research Center, Stanford, CA, 1994.
2. 2. N. A. Adams and L. Kleiser, J. Fluid Mech., to appear.
3. 3. M. H. Carpenter, D. Gottlieb, and S. Abarbanel, J. Comput. Phys. 108, 272 (1993).
4. 4. B. Cockburn and C.-W. Shu, SIAM J. Numer. Anal. 31, 607 (1994).
5. 5. L. Collatz, Numerische Behandlung von Differentialgleichungen (Springer-Verlag, Berlin, 1955).
6. 6. F. Dexun, M. Yanwen, and L. Hong, "Upwind Compact Schemes and Applications," in Proceedings, 5th Symp. on Comput. Fluid Dyn., Vol. 1, Japan Soc. of Comput. Fluid Dyn., 1993.
7. 7. D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods: Theory and Applications (SIAM-CBMS, Philadelphia, 1986).
8. 8. Y. Guo and N. A. Adams, "Numerical Investigation of Supersonic Turbulent Boundary Layers with High Wall Termperature," in CTR Proceedings of the 1994 Summer Program, Center for Turbulence Research, Stanford University and NASA Ames Research Center (Stanford, CA, 1994).
9. 9. B. Gustafsson, Math. Comput. 29, 396 (1975).
10. 10. B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time Dependent Problems and Difference Methods (Wiley, New York, 1995).
11. 11. B. Gustafsson, H.-O. Kreiss, and A. Sundström, Math. Comput. 26, 649 (1972).
12. 12. E. Hairer, S. P. Nørsett, and G. Wanner, Solving Ordinary Differential Equations. Vol. I. Nonstiff Problems (Springer Verlag, Berlin, 1987).
13. 13. Z. Haras and S. Ta'asan, J. Comput. Phys. 114, 265 (1994).
14. 14. A. Harten, J. Comput. Phys. 49, 357 (1983).
15. 15. A. Harten and S. R. Chakravarthy, Technical Report 91-76, ICASE, NASA Langley Research Center, Hampton, Virginia, 1991; CAM Report 91-16, UCLA, Los Angeles (unpublished).
16. 15. A. Harten and S. R. Chakravarthy, Technical Report 91-76, ICASE, NASA Langley Research Center, Hampton, Virginia, 1991; CAM Report 91-16, UCLA, Los Angeles (unpublished).
17. 16. A. Harten, B. Engquist, S. Osher, and S. R. Chakravarthy, J. Comput. Phys. 71, 231 (1987).
18. 17. A. Harten, P. D. Lax, and B. van Leer, SIAM Rev. 25(1), 35 (1983).
19. 18. A. Harten and G. Zwas, J. Comput. Phys. 9, 568 (1972).
20. 19. R. S. Hirsh, J. Comput. Phys. 19, 90 (1975).
21. 20. T. Y. Hou and P. G. Le Floch, Math. Comput. 62, 497 (1994).
22. 21. Z. Kopal, Numerical Analysis (Springer-Verlag, New York, 1966).
23. 22. H.-O. Kreiss and J. Lorenz, Initial-Boundary Value Problems and the Navier-Stokes Equations (Academic Press, London, 1989).
24. 23. H.-O. Kreiss, S. A. Orszag, and M. Israeli, Annu. Rev. Fluid Mech. 6, 281 (1974).
25. 24. H.-O. Kreiss and L. Wu, Appl. Numer. Math. 12, 213 (1993).
26. 25. F. Lafon and S. Osher, J. Comput. Phys. 96, 110 (1991).
27. 26. S. K. Lele, J. Comput. Phys. 103, 16 (1992).
28. 27. D.-K. Mao, J. Comput. Phys. 92, 422 (1991).
29. 28. J. F. McKenzie and K. O. Westphal, Phys. Fluids 11, 2350 (1968).
30. 29. C. D. Pruett and C.-L. Chang, Theor. Comput. Fluid Dyn., 7, 397 (1995).
31. 30. C. D. Pruett and T. Zang, Theor. Comput. Fluid Dyn. 3, 345 (1992).
32. 31. C. D. Pruett, T. Zang, C.-L. Chang, and M. H. Carpenter, Theor. Comput. Fluid Dyn. 7, 49 (1995).
33. 32. M. M. Rai and P. Moin, J. Comput. Phys. 93, 169 (1993).
34. 33. S. C. Reddy and L. N. Trefethen, Numer. Math. 62, 235 (1992).
35. 34. P. L. Roe, Annu. Rev. Fluid Mech. 18, 337 (1986).
36. 35. A. M. Rogerson and E. Meiburg, J. Sci. Comput. 5(2), 151 (1990).
37. 36. N. D. Sandham and W. C. Reynolds, J. Fluid Mech. 224, 133 (1991).
38. 37. K. Schittkowski, Annu. Oper. Res. 5, 485 (1985).
39. 38. C.-W. Shu, SIAM J. Sci. Stat. Comput. 9(6), 1073 (1988).
40. 39. C.-W. Shu, J. Sci. Comput. 5(2), 127 (1990).
41. 40. C.-W. Shu and S. Osher, J. Comput. Phys. 77, 439 (1988).
42. 41. C.-W. Shu and S. Osher, J. Comput. Phys. 83, 32 (1989).
43. 42. C.-W. Shu, T. A. Zang, G. Erlebacher, D. Whitaker, and S. Osher, Appl. Numer. Math. 9, 45 (1992).
44. 43. J Stoer, "Principles of Sequential Quadratic Programming Methods for Solving Nonlinear Problems, in Computational Mathematical Programming, edited by K. Schittkowski, NATO ASI Series F, Vol. 15, (Springer-Verlag, Berlin, 1985), p. 165.
45. 44. J. C. Strikwerda, Finite Difference Schemes and Partial Differential Equations (Wadsworth & Brooks/Cole, Belmont, CA, 1989).
46. 45. P. A. Thompson, Compressible-Fluid Dynamics, Advanced Engineering Series. (Rensselaer Polytechnic Institute, Troy, NY, 1988).
47. 46. A. I. Tolstykh, "High Accuracy Methods for Compressible Navier-Stokes Equations," in Proceedings, 5th Int. Symp. on Comput. Fluid Dyn., Vol. 3, Japan Soc. of Comput. Fluid Dyn., 1993.
48. 47. L. N. Trefethen, SIAM Rev. 24, 113 (1982).
49. 48. J. H. Williamson, J. Comput. Phys. 35, 48 (1980).
50. 49. S. Wolfram, Mathematica. A System for Doing Mathematics by Computer, 2nd ed., (Addison-Wesley, Redwood City, CA, 1991).
51. 50. H. C. Yee, Technical Report TM-101088, NASA, NASA Ames Research Center, Moffet Field, CA 94035, 1989; Von Kármán Institute, Lecture Series 1989-04 (unpublished).
52. 50. H. C. Yee, Technical Report TM-101088, NASA, NASA Ames Research Center, Moffet Field, CA 94035, 1989; Von Kármán Institute, Lecture Series 1989-04 (unpublished).