A second-order upwinding finite difference scheme for the steady Navier-Stokes equations in primitive variables in a driven cavity with a multigrid solver
Zhang, Lin Bo
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 24 (1990), p. 133-150 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1990-01-01
@article{M2AN_1990__24_1_133_0,
     author = {Zhang, Lin Bo},
     title = {A second-order upwinding finite difference scheme for the steady Navier-Stokes equations in primitive variables in a driven cavity with a multigrid solver},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {24},
     year = {1990},
     pages = {133-150},
     mrnumber = {1034902},
     zbl = {0682.76025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1990__24_1_133_0}
}

Zhang, Lin Bo. A second-order upwinding finite difference scheme for the steady Navier-Stokes equations in primitive variables in a driven cavity with a multigrid solver. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 24 (1990) pp. 133-150. http://gdmltest.u-ga.fr/item/M2AN_1990__24_1_133_0/

[1] J. D. Bozeman &C. Dalton, Numerical Study of Viscous Flow in a Cavity, J. of Comp. Phys., 12, 1973, pp. 348-363. | Zbl 0261.76024

[2] A. Brandt& N. Dinar, Multigrid Solutions to Elliptic Flow Problems, Numerical Method IN PDEs, Ed. S. V. Parter, Academic Press, New York, 1977, pp. 53-147. | MR 558216 | Zbl 0447.76020

[3] Ch. H. Bruneau&C. Jouron, Efficient Schemes for Solving Steady Navier-Stokes Equations, to appear.

[4] M. Fortin,R. Peyret&R. Temam, Résolution Numérique des Équations de Navier-Stokes pour un Fluide Incompressible, Journal de Mécanique, Vol. 10 N°3, septembre 1971. | MR 421338 | Zbl 0225.76016

[5] U. Ghia,K. N. Ghia& C. T. Shin, High-Re Solutions for Incompressible Flows Using the Navier-Stokes Equations and a Multigrid Method, J. of Comp. Phys., 48, 1982, pp. 387-411. | Zbl 0511.76031

[6] R. Schreiber&H. B. Keller, Driven Cavity Flows by Efficient Numerical Techniques, J. of Comp. Phys., 49, 1983, pp. 310-333. | Zbl 0503.76040

[7] S. Y. Tuann&M. D. Olson, Review of Computational Methods for Recirculating Flows, J. of Comp. Phys., 29, 1978, pp. 1-19. | MR 510458 | Zbl 0427.76028

[8] S. P. Vanka, Block Implicit Multigrid Solutions of Navier-Stokes Equations in Primitive Variables, J. of Comp. Phys., 65, 1985, pp. 138-158. | MR 848451 | Zbl 0606.76035

[9] L. B. Zhang, Résolution Numérique des Équation de Navier-Stokes par la Méthode multigrille, University Thesis, Orsay, 1987.