메뉴 건너뛰기




Volumn 39, Issue 8, 2000, Pages 806-825

A finite volume method to solve the Navier-Stokes equations for incompressible flows on unstructured meshes

Author keywords

Boussinesq fluid; Buoyancy force; Diffusion scheme; Finite volume method; Fractional time step; Lid driven cavity flow; Natural convection; Navier Stokes; Unstructured mesh

Indexed keywords


EID: 0034259694     PISSN: 12900729     EISSN: None     Source Type: Journal    
DOI: 10.1016/s1290-0729(00)00276-3     Document Type: Article
Times cited : (47)

References (18)
  • 3
    • 0042301502 scopus 로고
    • Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire
    • Champier S., Gallouët T., Convergence d'un schéma décentré amont sur un maillage triangulaire pour un problème hyperbolique linéaire, Math. Mod. Numer. Anal. 26 (1992) 835-853.
    • (1992) Math. Mod. Numer. Anal. , vol.26 , pp. 835-853
    • Champier, S.1    Gallouët, T.2
  • 5
    • 0026941142 scopus 로고
    • A control volume method to solve an elliptic equation on a two-dimensional irregular mesh
    • Faille I., A control volume method to solve an elliptic equation on a two-dimensional irregular mesh, Comput. Methods Appl. Mech. Engrg. 100 (1992) 275-290.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.100 , pp. 275-290
    • Faille, I.1
  • 6
    • 0000381760 scopus 로고
    • Application de la théorie des éléments finis mixtes à l'étude d'une classe de schémas aux volumes différences finis pour les problèmes elliptiques
    • Baranger J., Maître J.F., Oudin F., Application de la théorie des éléments finis mixtes à l'étude d'une classe de schémas aux volumes différences finis pour les problèmes elliptiques, C.R. Acad. Sci. Paris Série I 319 (1994) 401-404.
    • (1994) C.R. Acad. Sci. Paris Série I , vol.319 , pp. 401-404
    • Baranger, J.1    Maître, J.F.2    Oudin, F.3
  • 7
    • 0004492939 scopus 로고    scopus 로고
    • Connection between finite volume and mixed finite element methods
    • Baranger J., Maître J.F., Oudin F., Connection between finite volume and mixed finite element methods, Math. Mod. Numer. Anal. 30 (4) (1996) 445-465.
    • (1996) Math. Mod. Numer. Anal. , vol.30 , Issue.4 , pp. 445-465
    • Baranger, J.1    Maître, J.F.2    Oudin, F.3
  • 8
    • 0026138971 scopus 로고
    • The finite volume element method for diffusion equations on general triangulations
    • Cai Z., Mandel J., McCormick S., The finite volume element method for diffusion equations on general triangulations, SIAM J. Numer. Anal. 28 (2) (1991) 392-402.
    • (1991) SIAM J. Numer. Anal. , vol.28 , Issue.2 , pp. 392-402
    • Cai, Z.1    Mandel, J.2    McCormick, S.3
  • 10
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A.J., Numerical solution of the Navier-Stokes equations, Math. Comput. 22 (1968).
    • (1968) Math. Comput. , vol.22
    • Chorin, A.J.1
  • 12
    • 84985371470 scopus 로고
    • An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh
    • Herbin R., An error estimate for a finite volume scheme for a diffusion-convection problem on a triangular mesh, Numer. Methods Part. Diff. Eq. 11 (1995) 165-173.
    • (1995) Numer. Methods Part. Diff. Eq. , vol.11 , pp. 165-173
    • Herbin, R.1
  • 13
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia U., Ghia K.N., Shin C.T., High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys. 48 (1982) 387-411.
    • (1982) J. Comput. Phys. , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 14
    • 0029170572 scopus 로고
    • Operator-splitting methods for the incompressible Navier-Stokes equations on non-staggered grids
    • Churbanov A.G., Pavlov A.N., Vabishchevich P.N., Operator-splitting methods for the incompressible Navier-Stokes equations on non-staggered grids, Int. J. Numer. Methods Fluids 21 (1995) 617-640.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 617-640
    • Churbanov, A.G.1    Pavlov, A.N.2    Vabishchevich, P.N.3
  • 15
    • 0020707925 scopus 로고
    • Experimental and theoretical investigation of backward-facing step flow
    • Armaly B.F., Durst F., Pereira J.C.F., Schönung B., Experimental and theoretical investigation of backward-facing step flow, J. Fluid Mech. 127 (1983) 473-496.
    • (1983) J. Fluid Mech. , vol.127 , pp. 473-496
    • Armaly, B.F.1    Durst, F.2    Pereira, J.C.F.3    Schönung, B.4
  • 16
    • 0029141073 scopus 로고
    • A numerical study of flow over a confined backward-facing step
    • Barton I.E., A numerical study of flow over a confined backward-facing step, Int. J. Numer. Methods Fluids 21 (1995) 653-665.
    • (1995) Int. J. Numer. Methods Fluids , vol.21 , pp. 653-665
    • Barton, I.E.1
  • 17
    • 0020752608 scopus 로고
    • Natural convection in a square cavity: A comparison exercise
    • De Vahl Davis G., Jones I.P., Natural convection in a square cavity: A comparison exercise, Int. J. Numer. Methods Fluids 3 (1983) 227-248.
    • (1983) Int. J. Numer. Methods Fluids , vol.3 , pp. 227-248
    • De Vahl Davis, G.1    Jones, I.P.2
  • 18
    • 0020752609 scopus 로고
    • Natural convection of air in a square cavity: A bench mark solution
    • De Vahl Davis G., Natural convection of air in a square cavity: A bench mark solution, Int. J. Numer. Methods Fluids 3 (1983) 249-264.
    • (1983) Int. J. Numer. Methods Fluids , vol.3 , pp. 249-264
    • De Vahl Davis, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.