HOME JOURNALS CONTACT

Journal of Applied Sciences

Year: 2002 | Volume: 2 | Issue: 12 | Page No.: 1124-1127
DOI: 10.3923/jas.2002.1124.1127
Convergence of Pseudospectral Method for Solving Navier-Stokes Equations
Abdur Rashid

Abstract: In this paper a new kind of Pseudospectral scheme is constructed for the Unsteady Navier-Stokes equations. This method easily deal with nonlinear terms and saves computational time. The generalized stability of the scheme is analyzed and the convergence is proved. Numerical results are presented also.

Fulltext PDF

How to cite this article
Abdur Rashid , 2002. Convergence of Pseudospectral Method for Solving Navier-Stokes Equations. Journal of Applied Sciences, 2: 1124-1127.

Keywords: navier-stokes equations, pseudospectral method, generalized stability and conergence

REFERENCES

  • Guo, B.Y., 1996. Fourier chebyshev spectral method for the two-dimensional navier stokes equation. SIAM Numerical Anal., 33: 360-372.
    Direct Link    


  • Canuto, C., M. Hussaini, A. Quarteroni and T. Zang, 1988. Spectral Methods in Fluid Dynamics. Springer, ISBN-10: 0387173714, pp: 557


  • Weiming, C. and G. Benyu, 1991. A pseudo-spectral method for solving navier stokes equation. J. Comput. Math., 9: 278-289.


  • Canuto, C. and A. Quartroni, 1982. Approximation results for orthogonal polynomials in Sobolev space. Math. Comput., 38: 67-86.
    Direct Link    


  • Benyu, G., 1985. Spectral method for solving navier stokes equation. Scientia Sinica, 28: 1139-1153.
    Direct Link    


  • Ben-Yu, G. and C. Weiming, 1992. A combined spectral-finite element method for solving two-dimensional unsteady navier-stokes equation. J. Comput. Physics., 101: 375-385.
    CrossRef    Direct Link    


  • Huang, W. and G. Ben-Yu, 1992. The spectral-difference for navier-stokes equation. Math. J., 8: 157-176.


  • Jing-Yu H. and B.Y. Guo, 1999. Chebyshev pseudospectral finite element mehtods for the three dimensional unsteady navier stokes equation. J. Applied Math. Comput., 104: 123-134.


  • Jian, L. and G. Ben-Yu, 1995. Fourier-legendre spectral method for the unsteady navier-stokes equation. J. Comput. Math., 13: 144-155.


  • Rashid, A., C. Weiming and G. Benyu, 1994. Three-level spectral method for fluid with low mach number. J. Applied Math. Comput., 63: 131-149.
    CrossRef    Direct Link    


  • He, S.N. and C.P. Yang, 1999. Combined legendre spectral finite element method for the two dimensional unsteady Navier Stokes equations. J. Comput. Math., 17: 394-508.


  • Temam, R., 1977. Navier-stokes Equations: Theory and Numerical Analysis. North-Holland Publ. Co., Amsterdam, The Netherlands

  • © Science Alert. All Rights Reserved