Constructing oscillation preventing scheme for advection equation by rational function

Computer Physics Communications

Volumn 93, Issue 1, 1996, Pages 1-12

  Xiao, F ^a   Yabe, T ^b   Ito, T ^a  

^a GUNMA UNIVERSITY   (Japan)

^b TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Advection equation; Computational algorithm; Monotone preserving scheme; Rational function

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; OSCILLATIONS;

ADVECTION EQUATION; CUBIC INTERPOLATED PSEUDO PARTICLE (CIP) METHOD; MONOTONE PRESERVING SCHEME; RATIONAL FUNCTION;

FLUID DYNAMICS;

EID: 0029757071     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4655(95)00124-7     Document Type: Article

References (13)

1. T. Yabe and T. Aoki, Comput. Phys. Commun. 60 (1991) 219.
2. H. Takewaki and T. Yabe, J. Comput. Phys. 70 (1987) 355.
3. T. Yabe and T. Ishikawa, P.Y. Wang, T. Aoki, Y. Kadota and F. Ikeda, Comput. Phys. Commun. 66 (1991) 233.
4. T. Yabe T. Mochizuki and H. Hara, Proceedings of International Conference on Laser Advanced Materials Processing, June 9-12, Nagaoka, Japan (1991).
5. C. de Boor, A Practical Guide to Splines (Springer, New York, 1987).
6. H.C. Yee, NASA Report TM-89464 (1987).
7. B. Van Leer, J. Comput. Phys. 23 (1977) 276.
8. B. Van Leer, J. Comput. Phys. 32 (1979) 101.
9. P. Colella and P.R. Woodward, J. Comput. Phys. 54 (1984) 174.
10. H.M. Wu and S.L. Yang, A Collection of Papers Presented at The Beijing Workshop on Computational Fluid Dynamics (Institute of Mechanics, Academia Sinica, 1990).
11. C.W. Shu and S. Osher, J. Comput. Phys. 83 (1989) 32.
12. G. Spiga and M. Spiga, Int. J. Mass Transfer 24 (1981) 355.
13. G.A. Sod, J. Comput. Phys. 27 (1978) 1.