A Dynamical Pseudo-Spectral Domain Decomposition Technique: Application to Viscous Compressible Flows

Journal of Computational Physics

Volumn 131, Issue 1, 1997, Pages 89-108

  Renaud, François ^a   Gauthier, Serge ^a  

^a CEA DIF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DOMAIN DECOMPOSITION METHODS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS;

CHEBYSHEV COLLOCATION; CHEBYSHEV SERIES; COLLOCATION POINTS; DOMAIN DECOMPOSITION TECHNIQUES; DOMAIN-DECOMPOSITION METHODS; OVERALL ACCURACIES; SPECTRAL DOMAIN DECOMPOSITION; SUBDOMAIN; TRANSFORMATION OF COORDINATES; VISCOUS COMPRESSIBLE FLOWS;

LOCATION;

EID: 0002960236     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1996.5576     Document Type: Article

References (34)

1. Canuto C., Hussaini M. Y., Quarteroni A., Zang T. A. Spectral Methods in Fluids Dynamics. 1988;Springer-Verlag, New York.
2. Passot T., Pouquet A. J. Comput. Phys. 75:1988;300.
3. Grosch C. E., Orszag S. A. J. Comput. Phys. 25:1977;273.
4. Bayliss A., Matkowsky B. J. J. Comput. Phys. 71:1987;147.
5. Guillard H., Peyret R. Comput. Methods Appl. Mech. Eng. 66:1988;17.
6. Bayliss A., Gottlieb D., Matkowsky B. J., Minkoff M. J. Comput. Phys. 81:1989;421.
7. Augenbaum J. M. Appl. Numer. Math. 5:1989;459.
8. J. M. Malé, 1992, Calcul d'écoulements visqueux compressibles par méthodes spectrales auto-adaptatives. Application aux couches de mélange, Université de Nice-Sophia-Antipolis.
9. Guillard H., Malé J. M., Peyret R. J. Comput. Phys. 102:1992;114.
10. Solomonoff A., Turkel E. J. Comput. Phys. 81:1989;239.
11. Bayliss A., Kuske R., Matkowsky B. J. J. Comput. Phys. 91:1990;174.
12. Kosloff D., Tal-Ezer H. J. Comput. Phys. 104:1993;457.
13. Bayliss A., Class A., Matkowsky B. J. J. Comput. Phys. 116:1995;160.
14. Peyret R. Comput. Methods Appl. Mech. Eng. 80:1990;129.
15. Sidilkover R., Karniadakis G. E. J. Comput. Phys. 107:1993;10.
16. Don W. S. J. Comput. Phys. 110:1994;103.
17. Suresh A. J. Comput. Phys. 114:1994;339.
18. A. Bayliss, T. Belytschoko, D. Hansen, E. Turkel, 1992, Adaptive multi-domain spectral methods, Proceedings, 5th SIAM Conference on Domain Decomposition Methods for Partial Differential Equations, 1992, 195, SIAM, Philadelphia.
19. Bayliss A., Garbev M., Matkowsky B. J. J. Comput. Phys. 119:1995;132.
20. Patera A. T. J. Comput. Phys. 54:1984;468.
21. Gauthier S., Desmarais T., Iooss G. Europhys. Lett. 10:1989;543.
22. Gauthier S. J. Comput. Phys. 75:1988;217.
23. F. Renaud, 1996, Une méthode spectrale de décomposition dynamique de domaines: Applications aux écoulements compressibles de Rayleigh-Bénard et de Kelvin-Helmholtz. Université de Nice-Sophia-Antipolis.
24. S. Gauthier, F. Renaud, June 5-9, 1995, A spectral domain decomposition technique for viscous compressible flows, Proceedings, Third International Conference on Spectral and High Order Methods, Houston, Texas.
25. Ehrenstein U., Guillard H., Peyret R. Numer. Methods Fluids Dyn. 9:1989;499.
26. Gauthier S. Int. J. Num. Methods Fluids. 12:1991;985.
27. Macaraeg M. G., Street C. L. Appl. Numer. Math. 2:1986;95.
28. Pulicani J. P. Computers & Fluids. 16:1988;207.
29. J. P. Pulicani, 1988, Application des méthodes spectrales à l'étude d'écoulements de convection, 19, 52, Université de Nice.
30. Gottlieb D., Orszag S. A. Numerical Analysis of Spectral Methods: Theory and Applications. 1977;SIAM, Philadelphia.
31. Williamson J. H. J. Comput. Phys. 35:1980;48.
32. Kull H. J. Phys. Rep. 206:1991;197.
33. Duff R. E., Harlow F. H., Hirt C. W. Phys. Fluids. 5:1962;417.
34. Rothman E. E. Reducing round-off error in Chebyshev pseudospectral computations. Durand M., El Dabaghi F. High Performance Computing II, 1991. 1991;423 Elsevier Science, Amsterdam.