A second-order iterative implicit-explicit hybrid scheme for hyperbolic systems of conservation laws

Journal of Computational Physics

Volumn 128, Issue 1, 1996, Pages 181-196

  Dai, Wenlong ^a   Woodward, Paul R ^a  

^a UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PHYSICAL PROPERTIES;

COMPUTER CODES; CONSERVATION FORMS; COURANT NUMBERS; HYBRID SCHEME; HYPERBOLIC SYSTEMS OF CONSERVATION LAWS; IMPLICIT-EXPLICIT; MULTI-COLORS; SECOND ORDERS; SMOOTHLY SWITCHES; SPACE AND TIME;

ITERATIVE METHODS;

EID: 0030268961     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0202     Document Type: Article

References (39)

1. 1. S. K. Godunov, Math. Sb. 47, 271 (1959).
2. 2. B. Van Leer, J. Comput. Phys. 23, 276 (1977).
3. 3. B. Van Leer, J. Comput. Phys. 32, 101 (1979).
4. 4. P. L. Roe, J. Comput. Phys. 43, 358 (1981).
5. 5. P. R. Woodward and P. Colella, Lecture Notes Phys. 141, 434 (1981).
6. 6. P. Colella and P. R. Woodward, J. Comput. Phys. 54, 174 (1984).
7. 7. A. Harten, J. Comput. Phys. 49, 359 (1983).
8. 8. H. B. Keller and P. R. Wendroff, Comm. Pure Appl. Math. 10, (1957), 567.
9. 9. S. Nakamura, Computational Method in Engineering and Science (Wiley, New York, 1976), pp. 175-187.
10. 10. R. W. Beam and R. F. Warming, J. Comput. Phys. 22, 87 (1976).
11. 11. B. Engquist and S. Osher, Math. Comp. 34, 45 (1980).
12. 12. B. Van Leer and W. A. Mulder, in Numerical Methods for the Euler Equations of Fluid Dynamics, edited by F. Angrand, A. Dervieux, J. A. Desideri, and R. Glowinski, (SIAM, Philadelphia, PA, 1985), p. 312.
13. 13. H. C. Yee, R. F. Warming, and A. Harten, J. Comput. Phys. 57, 327 (1985).
14. 14. H. M. Glaz and A. B. Wardlaw, J. Comput. Phys. 58, 157 (1985); 12A, 413 (1986).
15. 14. H. M. Glaz and A. B. Wardlaw, J. Comput. Phys. 58, 157 (1985); 12A, 413 (1986).
16. 15. B. A. Fryxell, P. R. Woodward, P. Colella, and K.-H. Winkler, J. Comput. Phys. 63, 283 (1986).
17. 16. A. Jameson and S. Yoon, AIAA J. 24, 1737 (1986).
18. 17. A. Jameson and S. Yoon, AIAA J. 25, 929 (1987).
19. 18. C. Y. Loh and W. H. Hui, J. Comput. Phys. 89, 207 (1990).
20. 19. M. Blunt and B. Rubin, J. Comput. Phys. 102, 194 (1992).
21. 20. M. Wilcoxson and V. Manousiouthakis, J. Comput. Phys. 115, 376 (1994).
22. 21. J. P. Collins, P. Collela, and H. M. Glaz, J. Comput. Phys. 116, 195 (1995).
23. 22. W. Dai and P. R. Woodward, J. Comput. Phys., 124, 217 (1996).
24. 23. J. E. Fromm, J. Comput. Phys. 3, 176 (1968).
25. 24. G. A. Sod, in Numerical Methods in Fluid Dynamics (Cambridge Univ. Press, Cambridge, 1985), p. 155.
26. 25. L. D. Landau and E. Lifshits, Electrodynamics of Continuous Media, Pergamon, New York, 1960.
27. 26. W. Dai and P. R. Woodward, J. Comput. Phys. 121, 51 (1995).
28. 27. R. Courant and K. O. Friedrichs, Supersonic Flow and Shock Wave, 5th ed., Interscience, New York, 1967.
29. 28. H. R. Strauss, Phys. Fluids 19, 134 (1976).
30. 29. H. R. Strauss, Phys. Fluids 20, 1354 (1977).
31. 30. J. U. Brackbill, in Methods in Computational Physics, edited by J. Killeen, Vol. 16 (Academic Press, New York, 1976), p. 1.
32. 31. C. H. Finan and J. Killeen, J. Comput. Phys. 24, 441 (1981).
33. 32. A. Y. Aydemir and D. C. Barnes, J. Comput. Phys. 53, 100 (1984).
34. 33. A. Y. Aydemir and D. C. Barnes, J. Comput. Phys. 59, 108 (1985).
35. 34. D. S. Harned and W. Kerner, J. Comput. Phys. 60, 62 (1985).
36. 35. D. S. Harned and D. D. Schnack, J. Comput. Phys. 65, 57 (1986).
37. 36. D. D. Schnack, D. C. Barnes, and Z. Mikic, J. Comput. Phys. 70, 330 (1987).
38. 37. L. A. Charlton, J. A. Holmes, V. E. Lynch, B. A. Carreras, and T. C. Hender, J. Comput. Phys. 86, 270 (1990).
39. 38. K. Lerbinger and J. F. Luciani, J. Comput. Phys. 97, 444 (1991).