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Volumn 175, Issue 1, 2002, Pages 1-23

A mixed-basis spectral projection method

Author keywords

Galerkin Legendre spectral methods; Navier Stokes equations; Projection method

Indexed keywords

VECTOR SPACES; VISCOUS FLOW;

EID: 0036153766     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6855     Document Type: Article
Times cited : (14)

References (40)
  • 1
    • 85190568220 scopus 로고    scopus 로고
    • First Hopf bifurcation in the singular driven cavity flow, presented at Fourth EUROMECH Fluid Mechanics Conference, Eindhoven
    • (2000)
    • Auteri, F.1    Parolini, N.2
  • 2
    • 85190567371 scopus 로고    scopus 로고
    • Quadrature of convective term and stability of weak pseudospectral projection methods, submitted for publication
    • Auteri, F.1    Parolini, N.2
  • 9
    • 85190567997 scopus 로고
    • Approximations spectrales des problèmes aux limites elliptiques (Springer-Verlag, Paris)
    • (1992)
    • Bernardi, C.1    Maday, Y.2
  • 10
    • 0031079585 scopus 로고    scopus 로고
    • On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third order accuracy in time
    • (1997) Comput. Fluids , vol.26 , pp. 107
    • Botella, O.1
  • 12
    • 0016093926 scopus 로고
    • On the existence uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • (1974) R.A.I.R.O , vol.2 R , pp. 129
    • Brezzi, F.1
  • 15
    • 84968483581 scopus 로고
    • On the convergence of discrete approximations to the Navier-Stokes equations
    • (1969) Math. Comp , vol.23 , pp. 341
    • Chorin, A.J.1
  • 16
    • 0018330228 scopus 로고
    • A multistep technique for the with implicit difference schemes for calculating two- or three-dimensional cavity flows
    • (1979) J. Comput. Phys , vol.30 , pp. 76
    • Goda, K.1
  • 17
    • 0003600453 scopus 로고
    • Numerical Analysis of Spectral Methods: Theory and Applications
    • (Soc. for Industr. & Appl. Math., Philadelphia)
    • (1977)
    • Gottlieb, D.1    Orszag, S.A.2
  • 19
    • 0038934567 scopus 로고    scopus 로고
    • Un résultat de convergence à l'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection
    • (1999) 2AN) , vol.33 , pp. 169
    • Guermond, J.-L.1
  • 30
    • 0040042050 scopus 로고    scopus 로고
    • An efficient spectral projection method for the Navier-Stokes equations in cylindrical geometries I. Axisymmetric cases
    • (1998) J. Comput. Phys , vol.139 , pp. 308
    • Lopez, J.M.1    Shen, J.2
  • 32
    • 0003872096 scopus 로고
    • Numerical Solution of the Incompressible Navier-Stokes Equations
    • (Birkhäuser, Basel)
    • (1993)
    • Quartapelle, L.1
  • 34
    • 0000567049 scopus 로고
    • Efficient spectral-Galerkin method. I. Direct solvers of second- and fourth-order equations using Legendre polynomials
    • (1994) SIAM J. Sci. Comput , vol.15 , pp. 1489
    • Shen, J.1
  • 35
    • 0030366781 scopus 로고    scopus 로고
    • On error estimates of projection methods for the Navier-Stokes equations: Second-order schemes
    • (1996) Math. Comp , vol.65 , pp. 1039
    • Shen, J.1
  • 38
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode de pas fractionnaires
    • (1969) Arch. Rat. Mech. Anal , vol.33 , pp. 377
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.