Essentially compact schemes for unsteady viscous incompressible flows

Journal of Computational Physics

Volumn 126, Issue 1, 1996, Pages 122-138

  Weinan, E ^a,c   Liu, Jian Guo ^a,b,c  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b Temple University   (United States)

^c NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE DIFFERENCE METHOD; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER; RUNGE KUTTA METHODS;

ACCURATE FINITE DIFFERENCE SCHEME; COMPACT SCHEMES; FAST POISSON SOLVER; FOURTH-ORDER; FOURTH-ORDER SCHEME; POISSON-LIKE EQUATIONS; SECOND-ORDER SCHEME; TIME STEP; VISCOUS INCOMPRESSIBLE FLOWS; VORTICITY STREAM FUNCTION FORMULATION;

BOUNDARY LAYERS;

EID: 0030171562     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.0125     Document Type: Article

References (22)

1. 1. W. R. Briley, J. Fluid Mech. 47, 713 (1971).
2. 2. M. H. Carpenter, D. Gottlieb, and S. Abarbanel, J. Comput. Phys. 111, 220 (1994).
3. 3. S. C. R. Dennis and J. D. Hudson, J. Comput. Phys. 85, 390 (1989).
4. W. E and J.-G. Liu, J. Comput. Phys. 124(2), 301 (1996).
5. W. E and J.-G. Liu, preprint, 1995.
6. 6. G. E. Forsythe and W. R. Wasow, Finite-Difference Methods for Partial Differential Equations (Wiley, New York, 1960).
7. 7. U. Ghia, K. N. Ghia, and C. T. Shin, J. Comput. Phys. 48, 387 (1982).
8. 8. M. M. Gupta, J. Comput. Phys. 93, 343 (1991).
9. 9. W. D. Henshaw, H.-O. Kreiss, and L. G. M. Reyna, preprint, 1994.
10. 10. T. Y. Hou and B. Wetton, SIAM J. Numer. Anal. 615 (1992).
11. 11. B. C. Johansson, J. Comput. Phys. 105, 233 (1993).
12. 12. H.-O. Kreiss and J. Oliger, Tellus 24(3), 199 (1972).
13. 13. M. Li, T. Tang, and B. Fornberg, Int. J. Numer. Methods Fluids 20, 1137 (1195).
14. 14. K. Z. Meth, Ph.D. thesis, NYU, 1988 (unpublished).
15. 15. K. Z. Meth, SIAM J. Numer. Anal. 31, 1336 (1994).
16. 16. M. J. Naughton, thesis, California Institute of Technology, 1986 (unpublished).
17. 17. S. A. Orszag and M. Israeli, Annu. Rev. Fluid Mech. 6, 281 (1974).
18. 18. T. Phuoc Loc, J. Fluid Mech. 100, 111 (1980).
19. 19. M. B. Reider, Ph.D. thesis, UCLA, 1992 (unpublished).
20. 20. R. Schreiber and H. B. Keller, J. Comput. Phys. 49, 310 (1983).
21. 21. G. Strang, Numer. Math. 6, 37 (1964).
22. 22. L. Wu and H.-O. Kreiss, preprint, 1991.