Fourier-Chebyshev pseudospectral methods for the two-dimensional Navier-Stokes equations

 Access to full text

 Full (PDF)

1. [1] D. GOTTLIEB and S. A. ORSZAG, Numerical Analysis of Spectral Methods, CBMS-NSF, SIAM, Philadelphia, 1977. Zbl0412.65058
2. [2] Y. MADAY and A. QUARTERONI, Spectral and pseudospectral approximations of the Navier-Stokes equations, SIAM, J. Numer. Anal., 19, 1982, 761-780. Zbl0503.76035MR664883
3. [3] Kuo PEN-YU, The convergence of the spectral scheme for solving two-dimensional vorticity equation, J. Comp. Math., 1, 1983, 353-362. Zbl0599.76030MR838695
4. [4] GUO BEN-YU, Spectral method for solving Navier-Stokes equation, Scientia Sinica, 28, 1985, 1139-1153. Zbl0626.76034MR828694
5. [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. Zbl0607.76024MR882688
6. [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. Zbl0691.35081MR958583
7. [7] C. CANUTO, M. Y. HUSSAINI, A. QUARTERONI and T. A. ZANG, Spectral Methods in Fluid Dynamics, Springer-Verlag, Berlin, 1988. Zbl0658.76001MR917480
8. [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. Zbl0757.76047MR1173346
9. [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. Zbl0766.76070MR1193568
10. [10] Guo BEN-YU and Li JIAN, Fourier-Chebyshev pseudospectral method for two-dimensional vorticity equation, Numer. Math., 66, 1994, 329-346. Zbl0796.76069MR1246961
11. [11] R. J. ROACHE, Computational Fluid Dynamics, 2'nd edition, Hermosa Publisher, Albuquerque, 1976. Zbl0251.76002MR411358
12. [12] Y. MADAY and A. QUARTERONI, Legendre and Chebyshev spectral approximations of Burgers' equation, Numer. Math., 37, 1981, 321-332. Zbl0452.41007MR627106
13. [13] C. CANUTO and A. QUARTERONI, Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp., 38, 1982, 67-86. Zbl0567.41008MR637287
14. [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. Zbl0539.65080MR758262
15. [15] Guo BEN-YU, Difference Methods for Partial Differential Equations, Science Press, Beijing, 1988. 
16. [16] Ma HE-PING and Guo BEN-YU, The Chebyshev spectral method for Burgers-like equations, J. Comp. Math., 6, 1988, 48-53. Zbl0641.65084MR958603