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Volumn 26, Issue 2, 1997, Pages 107-116

On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third-order accuracy in time

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CHEBYSHEV APPROXIMATION; CONSTRAINT THEORY; FLOW OF FLUIDS; LAGRANGE MULTIPLIERS; NUMERICAL METHODS; POLYNOMIALS; PRESSURE; REYNOLDS NUMBER; STABILITY; VELOCITY;

EID: 0031079585     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7930(96)00032-1     Document Type: Article
Times cited : (77)

References (21)
  • 1
    • 84968510911 scopus 로고
    • Numerical simulation of the Navier-Stokes equations
    • Chorin, A., Numerical simulation of the Navier-Stokes equations. Math. Comput., 1968, 22, 745-762.
    • (1968) Math. Comput. , vol.22 , pp. 745-762
    • Chorin, A.1
  • 2
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires II
    • Temam, R., Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires II. Archiv. Rat. Mech. Anal., 1969, 32, 377-385.
    • (1969) Archiv. Rat. Mech. Anal. , vol.32 , pp. 377-385
    • Temam, R.1
  • 4
    • 0001603421 scopus 로고
    • Remark on the pressure boundary condition for the projection method
    • Temam, R., Remark on the pressure boundary condition for the projection method. Theoret. Comput. Fluid Dynamics, 1991, 3, 181-184.
    • (1991) Theoret. Comput. Fluid Dynamics , vol.3 , pp. 181-184
    • Temam, R.1
  • 5
    • 84951608835 scopus 로고
    • Remarques sur les méthodes de projection pour l'approximation des équations de Navier-Stokes
    • Guermond, J.-L., Remarques sur les méthodes de projection pour l'approximation des équations de Navier-Stokes. Numer. Math., 1994, 67, 465-473.
    • (1994) Numer. Math. , vol.67 , pp. 465-473
    • Guermond, J.-L.1
  • 6
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • Perot, J. B., An analysis of the fractional step method. J. Computat. Phys., 1992, 108, 51-58.
    • (1992) J. Computat. Phys. , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 11
    • 0027541972 scopus 로고
    • Splitting techniques for the pseudospectral approximation of the unsteady Stokes equations
    • Heinrichs, W., Splitting techniques for the pseudospectral approximation of the unsteady Stokes equations. SIAM J. Numer. Anal., 1993, 30, 19-39.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 19-39
    • Heinrichs, W.1
  • 13
    • 0028450298 scopus 로고
    • A unique grid spectral solver of the nd cartesian unsteady Stokes system. Illustrative numerical results
    • Azaïez, M., Fikri, A. and Labrosse, G., A unique grid spectral solver of the nd cartesian unsteady Stokes system. Illustrative numerical results. Finite Elements in Analysis and Design, 1994, 16, 247-260.
    • (1994) Finite Elements in Analysis and Design , vol.16 , pp. 247-260
    • Azaïez, M.1    Fikri, A.2    Labrosse, G.3
  • 16
    • 0000966077 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes problem. I: Regularity of the solutions and second-order error estimates for spatial discretization
    • Heywood, J. C. and Rannacher, R., Finite element approximation of the nonstationary Navier-Stokes problem. I: Regularity of the solutions and second-order error estimates for spatial discretization. SIAM J. Num. Anal., 1982, 19, 275-311.
    • (1982) SIAM J. Num. Anal. , vol.19 , pp. 275-311
    • Heywood, J.C.1    Rannacher, R.2
  • 17
    • 0024471160 scopus 로고
    • A Chebyshev-collocation method for the Navier-Stokes equations with application to double-diffusive convection
    • Ehrenstein, U. and Peyret, R., A Chebyshev-collocation method for the Navier-Stokes equations with application to double-diffusive convection. Int. J. Numer. Methods Fluids, 1989, 9, 427-452.
    • (1989) Int. J. Numer. Methods Fluids , vol.9 , pp. 427-452
    • Ehrenstein, U.1    Peyret, R.2
  • 18
    • 0041738692 scopus 로고    scopus 로고
    • Résolution des équations de Navier-Stokes par des schémas de projection Tchebychev
    • to appear
    • Botella, O., Résolution des équations de Navier-Stokes par des schémas de projection Tchebychev. INRIA research report (to appear).
    • INRIA Research Report
    • Botella, O.1
  • 19
    • 0000322117 scopus 로고
    • Hopf bifurcation of the unsteady regularized driven cavity flow
    • Shen, J., Hopf bifurcation of the unsteady regularized driven cavity flow. J. Computat. Phys., 1991, 95, 228-245.
    • (1991) J. Computat. Phys. , vol.95 , pp. 228-245
    • Shen, J.1
  • 20
    • 0028153485 scopus 로고
    • Une méthode de résolution directe (pseudo-spectrale) du problème de Stokes 2D/3D instationnaire. Application à la cavité entraînée carrée
    • Batoul, A., Khallouf, H. and Labrosse, G., Une méthode de résolution directe (pseudo-spectrale) du problème de Stokes 2D/3D instationnaire. Application à la cavité entraînée carrée. C. R. Acad. Sci. Paris, 1994, 319, II, 1455-1461.
    • (1994) C. R. Acad. Sci. Paris , vol.319 , Issue.2 , pp. 1455-1461
    • Batoul, A.1    Khallouf, H.2    Labrosse, G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.