Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations
Guo, Ben-Yu ; Li, Jian
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 29 (1995), p. 303-337 / Harvested from Numdam
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Publié le : 1995-01-01
@article{M2AN_1995__29_3_303_0,
     author = {Guo, Ben-Yu and Li, Jian},
     title = {Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {29},
     year = {1995},
     pages = {303-337},
     mrnumber = {1342710},
     zbl = {0831.76065},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1995__29_3_303_0}
}

Guo, Ben-Yu; Li, Jian. Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 29 (1995) pp. 303-337. http://gdmltest.u-ga.fr/item/M2AN_1995__29_3_303_0/

[1] D. Gottlieb and S. A. Orszag, Numerical Analysis of Spectral Methods, CBMS-NSF, SIAM, Philadelphia, 1977. | Zbl 0412.65058

[2] Y. Maday and A. Quarteroni, Spectral and pseudospectral approximations of the Navier-Stokes equations, SIAM, J. Numer. Anal., 19, 1982, 761-780. | MR 664883 | Zbl 0503.76035

[3] Kuo Pen-Yu, The convergence of the spectral scheme for solving two-dimensional vorticity equation, J. Comp. Math., 1, 1983, 353-362. | MR 838695 | Zbl 0599.76030

[4] Guo Ben-Yu, Spectral method for solving Navier-Stokes equation, Scientia Sinica, 28, 1985, 1139-1153. | MR 828694 | Zbl 0626.76034

[5] Y. Maday and B. Metivet, Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain, Model. Math. et Anal. Numer., 21, 1987, 93-123. | Numdam | MR 882688 | Zbl 0607.76024

[6] Guo Ben-Yu and Ma He-Ping, The Fourier pseudospectral method for three-dimensional vorticity equations, Acta Math. Appl. Sinica, 4, 1988, 55-68. | MR 958583 | Zbl 0691.35081

[7] C. Canuto, M. Y. Hussaini, A. Quarteroni and T. A. Zang, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988. | MR 917480 | Zbl 0658.76001

[8] Guo Ben-Yu, Ma He-Ping, Cao Wei-Ming and Huang Hui, The Fourier-Chebyshev spectral method for solving two-dimensional unsteady vorticity equations, J. Comp. Phys., 101, 1992, 207-217. | MR 1173346 | Zbl 0757.76047

[9] Cao Wei-Ming and Guo Ben-Yu, Fourier-Chebyshev spectral method for three-dimensional voriticity equation with unilaterally periodic boundary condition, Appl. Math. J. of Chinese Uni, 7, 1992,350-366. | MR 1193568 | Zbl 0766.76070

[10] Guo Ben-Yu and Li Jian, Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation, Numer. Math., 66, 1994, 329-346. | MR 1246961 | Zbl 0796.76069

[11] R. J. Roache, Computational Fluid Dynamics, 2'nd edition, Hermosa Publisher, Albuquerque, 1976. | MR 411358 | Zbl 0251.76002

[12] Y. Maday and A. Quarteroni, Legendre and Chebyshev spectral approximations of Burgers' equation, Numer. Math., 37, 1981, 321-332. | MR 627106 | Zbl 0452.41007

[13] C. Canuto and A. Quarteroni, Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38, 1982, 67-86. | MR 637287 | Zbl 0567.41008

[14] C. Canuto and A. Quarteroni, Variational methods in the theoretical analysis of spectral approximations, in Spectral Methods for Partial Differential Equations, 55-78, éd. by Voigt, R. G., Gottlieb, D. and Hussaini, M. Y., SIAM-CBMS, Philadelphia, 1984. | MR 758262 | Zbl 0539.65080

[15] Guo Ben-Yu, Difference Methods for Partial Differential Equations, Science Press, Beijing, 1988.

[16] Ma He-Ping and Guo Ben-Yu, The Chebyshev spectral method for Burgers-like equations, J. Comp. Math., 6, 1988, 48-53. | MR 958603 | Zbl 0641.65084