메뉴 건너뛰기




Volumn 192, Issue 1, 2003, Pages 262-276

A new class of truly consistent splitting schemes for incompressible flows

Author keywords

Finite elements; Fractional step methods; Incompressibility; Navier stokes equations; Projection methods; Spectral approximations

Indexed keywords

FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; POISSON EQUATION;

EID: 0242679674     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jcp.2003.07.009     Document Type: Article
Times cited : (140)

References (28)
  • 1
    • 0035923849 scopus 로고    scopus 로고
    • Role of the LBB condition in weak spectral projection methods
    • F. Auteri, J.-L. Guermond, N. Parolini, Role of the LBB condition in weak spectral projection methods, J. Comput. Phys. 174 (2001) 405-420.
    • (2001) J. Comput. Phys. , vol.174 , pp. 405-420
    • Auteri, F.1    Guermond, J.-L.2    Parolini, N.3
  • 2
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • I. Babuška, The finite element method with Lagrangian multipliers, Numer. Math. 20 (1972/73) 179-192.
    • (1972) Numer. Math. , vol.20 , pp. 179-192
    • Babuška, I.1
  • 3
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • (R-2)
    • F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, Rev. Franşaise Automat. Informat. Recherche Opérationnelle Sér. Rouge 8 (R-2) (1974) 129-151.
    • (1974) Rev. Franşaise Automat. Informat. Recherche Opérationnelle Sér. Rouge , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 4
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • D.L. Brown, R. Cortez, M.L. Minion, Accurate projection methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 168 (2) (2001) 464-499.
    • (2001) J. Comput. Phys. , vol.168 , Issue.2 , pp. 464-499
    • Brown, D.L.1    Cortez, R.2    Minion, M.L.3
  • 5
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. Chorin, Numerical solution of the Navier-Stokes equations, Math. Comp. 22 (1968) 745-762.
    • (1968) Math. Comp. , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 6
    • 0000213656 scopus 로고
    • Projection method I: Convergence and numerical boundary layers
    • W. E, J.G. Liu, Projection method I: Convergence and numerical boundary layers, SIAM J. Numer, Anal. 32 (1995) 1017-1057.
    • (1995) SIAM J. Numer, Anal. , vol.32 , pp. 1017-1057
    • Lui, W.E.1    Liu, J.G.2
  • 7
    • 85128859154 scopus 로고    scopus 로고
    • Gauge method for viscous incompressible flows
    • W. E, J.G. Liu, Gauge method for viscous incompressible flows, Comm. Math. Sci., 1, 2003.
    • (2003) Comm. Math. Sci. , vol.1
    • Lui, W.E.1    Liu, J.G.2
  • 8
    • 0018330228 scopus 로고
    • A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
    • K. Goda, A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows, J. Comput. Phys. 30 (1979) 76-95.
    • (1979) J. Comput. Phys. , vol.30 , pp. 76-95
    • Goda, K.1
  • 9
    • 0032075632 scopus 로고    scopus 로고
    • On stability and convergence of projection methods based on pressure Poisson equation
    • J.-L. Guermond, L. Quartapelle, On stability and convergence of projection methods based on pressure Poisson equation, Int. J. Numer. Methods Fluids 26 (9) (1998) 1039-1053.
    • (1998) Int. J. Numer. Methods Fluids , vol.26 , Issue.9 , pp. 1039-1053
    • Guermond, J.-L.1    Quartapelle, L.2
  • 10
    • 0032358205 scopus 로고    scopus 로고
    • On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
    • J.-L. Guermond, L. Quartapelle, On the approximation of the unsteady Navier-Stokes equations by finite element projection methods, Numer. Math. 80 (5) (1998) 207-238.
    • (1998) Numer. Math. , vol.80 , Issue.5 , pp. 207-238
    • Guermond, J.-L.1    Quartapelle, L.2
  • 11
    • 0038934567 scopus 로고    scopus 로고
    • Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale
    • J.-L. Guermond, Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale, M2AN Math. Model. Numer. Anal. 33 (1) (1999) 169-189;
    • (1999) M2AN Math. Model. Numer. Anal. , vol.33 , Issue.1 , pp. 169-189
    • Guermond, J.-L.1
  • 13
    • 85190157619 scopus 로고    scopus 로고
    • Error estimates for a new class of splitting schemes for incompressible flows
    • in preparation
    • J.L. Guermond, J. Shen, Error estimates for a new class of splitting schemes for incompressible flows, in preparation.
    • Guermond, J.L.1    Shen, J.2
  • 14
    • 85190161949 scopus 로고    scopus 로고
    • On the error estimates of rotational pressure-correction projection methods
    • accepted
    • J.L. Guermond, J. Shen, On the error estimates of rotational pressure-correction projection methods. Math. Comp. (2003), accepted.
    • (2003) Math. Comp.
    • Guermond, J.L.1    Shen, J.2
  • 15
    • 0242549253 scopus 로고    scopus 로고
    • Quelques résultats nouveaux sur les méthodes de projection
    • J.L. Guermond, J. Shen, Quelques résultats nouveaux sur les méthodes de projection, C.R. Acad. Sci. Paris, Série I 333 (2001) 1111-1116.
    • (2001) C.R. Acad. Sci. Paris, Série I , vol.333 , pp. 1111-1116
    • Guermond, J.L.1    Shen, J.2
  • 16
    • 0242718371 scopus 로고    scopus 로고
    • Velocity-correction projection methods for incompressible flows
    • J.L. Guermond, J. Shen, Velocity-correction projection methods for incompressible flows, SIAM J. Numer. Anal. 41 (1) (2003) 112-134.
    • (2003) SIAM J. Numer. Anal. , vol.41 , Issue.1 , pp. 112-134
    • Guermond, J.L.1    Shen, J.2
  • 17
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equations
    • G.E. Karniadakis, M. Israeli, S.A. Orszag, High-order splitting methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 97 (1991) 414-443.
    • (1991) J. Comput. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 19
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • J. Kim, P. Moin, Application of a fractional-step method to incompressible Navier-Stokes equations, J. Comput. Phys. 59 (1985) 308-323.
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 20
    • 0022984775 scopus 로고
    • Boundary conditions for incompressible flows
    • S.A. Orszag, M. Israeli, M. Deville, Boundary conditions for incompressible flows, J. Sci. Comput. 1 (1986) 75-111.
    • (1986) J. Sci. Comput. , vol.1 , pp. 75-111
    • Orszag, S.A.1    Israeli, M.2    Deville, M.3
  • 21
    • 0027444179 scopus 로고
    • A remark on the projection-3 method
    • J. Shen, A remark on the projection-3 method, Int. J. Numer. Methods Fluids 16 (1993) 249-253.
    • (1993) Int. J. Numer. Methods Fluids , vol.16 , pp. 249-253
    • Shen, J.1
  • 22
    • 0000567049 scopus 로고
    • Efficient spectral-Galerkin method. i. Direct solvers of second- and fourth-order equations using Legendre polynomials
    • J. Shen, Efficient spectral-Galerkin method. i. Direct solvers of second- and fourth-order equations using Legendre polynomials, SIAM J. Sci. Comput. 15 (6) (1994) 1489-1505.
    • (1994) SIAM J. Sci. Comput. , vol.15 , Issue.6 , pp. 1489-1505
    • Shen, J.1
  • 23
    • 0030366781 scopus 로고    scopus 로고
    • On error estimates of projection methods for the Navier-Stokes equations: Second-order schemes
    • J. Shen, On error estimates of projection methods for the Navier-Stokes equations: second-order schemes, Math. Comp. 65 (215) (1996) 1039-1065.
    • (1996) Math. Comp. , vol.65 , Issue.215 , pp. 1039-1065
    • Shen, J.1
  • 24
    • 0001875899 scopus 로고    scopus 로고
    • The accuracy of the fractional step method
    • J.C. Strikwerda, Y.S. Lee, The accuracy of the fractional step method, SIAM J. Numer. Anal. 37 (1) (1999) 37-47.
    • (1999) SIAM J. Numer. Anal. , vol.37 , Issue.1 , pp. 37-47
    • Strikwerda, J.C.1    Lee, Y.S.2
  • 25
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires ii
    • R. Temam, Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires ii, Arch. Rat. Mech. Anal. 33 (1969) 377-385.
    • (1969) Arch. Rat. Mech. Anal. , vol.33 , pp. 377-385
    • Temam, R.1
  • 27
  • 28
    • 0000674333 scopus 로고
    • A second-order accurate pressure-correction scheme for viscous incompressible flow
    • J. van Kan, A second-order accurate pressure-correction scheme for viscous incompressible flow, SIAM J. Sci. Stat. Comput. 7 (3) (1986) 870-891.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , Issue.3 , pp. 870-891
    • van Kan, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.