Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems

Journal of Computational Physics

Volumn 128, Issue 1, 1996, Pages 82-100

  Tóth, Gábor ^a   Odstrčil, Dušan ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b ASTRONOMICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

FLUX CORRECTED TRANSPORTS; NUMERICAL SCHEME; ONE-DIMENSIONAL; RELATIVE STRENGTH; TOTAL VARIATION DIMINISHING; TOTAL VARIATION DIMINISHING SCHEME; TWO-DIMENSIONAL HYDRODYNAMICS;

EID: 0030268703     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0197     Document Type: Article

References (38)

1. 1. C. Hirsch, Numerical Computation of Internal and External Flows (Wiley, New York, 1990).
2. 2. R. J. LeVeque, Numerical Methods for Conservation Laws (Birkhäuser, Basel, 1992).
3. 3. C. A. J. Fletcher, Computational Techniques for Fluid Dynamics (Springer, Berlin, 1991).
4. 4. D. Ryu and T. W. Jones, Astrophys. J. 442, 228 (1995).
5. 5. D. Ryu, T. W. Jones, and A. Frank, Astrophys. J. 452, 785 (1995).
6. 6. D. Balsara, P. L. Roe, and K. G. Powell, preprint.
7. 7. W. Dai and P. R. Woodward, J. Comput. Phys. 111, 354 (1994).
8. 8. A. L. Zachary, A. Malagoli, and P. Colella, SIAM J. Sci. Comput. 15, 263 (1994).
9. 9. J. P. Boris and D. L. Book, J. Comput. Phys. 11, 38 (1973).
10. 10. A. Harten, J. Comput. Phys. 49, 357 (1983).
11. 11. H. C. Yee, NASA TM-101088, 1989 (unpublished).
12. 12. B. Cockburn, S.-Y. Lin, and C.-W. Shu, J. Comput. Phys. 84, 90 (1989).
13. 13. A. A. Barmin, A. G. Kulickovskiy, and N. V. Pogorelov, J. Comput. Phys. 126, 77 (1966).
14. 14. P. R. Woodward and P. Colella, J. Comput. Phys. 54, 115 (1984).
15. 15. J. M. Stone, J. F. Hawley, C. R. Evans, and M. L. Norman, Astrophys. J. 388, 415 (1992).
16. 16. J. P. Boris, NRL Memorandum Report 3237 (NRL, Washington, DC 1976).
17. 17. H. C. Yee, G. H. Klopfer, and J.-L. Montagné, J. Comput. Phys. 88, 31 (1990).
18. 18. E. S. Oran and J. P. Boris, Numerical Simulation of Reactive Flow (Elsevier, New York, 1987), p. 296.
19. 19. J. C. T. Wang and G. F. Widhopf, J. Comput. Phys. 84, 145 (1989).
20. 20. S. T. Zalesak, J. Comput. Phys. 31, 335 (1979).
21. 21. C. R. DeVore, J. Comput. Phys. 92, 142 (1991).
22. 22. G. Strang, SIAM J. Numer. Anal. 5, 506 (1968).
23. 23. D. Odstrčil, J. Comput. Phys. 91, 71 (1990).
24. 24. D. Odstrčil, J. Comput. Phys. 108, 218 (1993).
25. 25. P. L. Roe, J. Comput. Phys. 43, 357 (1981).
26. 26. G. Tóth, "A General Code for Modeling MHD Flows on Parallel Computers: Versatile Advection Code," in Proceedings, Int. Astron. Union Colloqium 153, Makuhari, Japan, May 22-26, 1995.
27. 27. G. Tóth, "A General Code for Modeling MHD Flows on Parallel Computers: Versatile Advection Code," in Astrophys. Lett. & Comm., Proceedings, NATO Advanced Study Institute on Solar and Astrophysical Magnetohydrodynamic Flows, Phodele Beach, Crete, June 12-22, 1995.
28. 28. P. L. Roe and Balsara, SIAM J. Appl. Math., 56, 57 (1996).
29. 29. K. G. Powell, ICASE Report No. 94-24, Langley, VA, 1994 (unpublished).
30. 30. T. I. Gombosi, K. G. Powell, and D. L. De Zeeuw, J. Geophys. Res. 99, 21,525 (1994).
31. 31. B. Einfeldt, C. D. Munz, P. L. Roe, and B. Sjögreen, J. Comput. Phys. 92, 273 (1991).
32. 32. J. J. Quirk, Int. J. Numer. Methods Fluids 18, 555 (1994).
33. 33. M. Brio and C. C. Wu, J. Comput. Phys. 75, 400 (1988).
34. 34. J. M. Stone and M. L. Norman, Astrophys. J. Suppl. 80, 791 (1992).
35. 35. A. Orszag and C. M. Tang, J. Fluid Mech. 90, 129 (1979).
36. 36. J. M. Picone and R. B. Dahlburg, Phys. Fluids B 3, 29 (1991).
37. 37. T. W. Roberts, J. Comput. Phys. 90, 141 (1990).
38. 38. J. U. Brackbill and D. C. Barnes, J. Comput. Phys. 35, 426 (1980).