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Volumn 47, Issue 12, 2005, Pages 1469-1487

Numerical solution of three-dimensional velocity-vorticity Navier-Stokes equations by finite difference method

Author keywords

ADI; Finite difference method; Navier Stokes equations; Staggered grid; TDMA; Velocity vorticity formulation

Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; POISSON EQUATION; REYNOLDS NUMBER; THREE DIMENSIONAL; VELOCITY MEASUREMENT;

EID: 17244376235     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.822     Document Type: Article
Times cited : (59)

References (35)
  • 2
    • 0035824657 scopus 로고    scopus 로고
    • Stable finite-element solution of the incompressible Navier-Stokes equations using linear interpolations for velocity and pressure
    • Fernandez G, Hafez M. Stable finite-element solution of the incompressible Navier-Stokes equations using linear interpolations for velocity and pressure. Computer Methods in Applied Mechanics and Engineering 2001; 191:545-559.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.191 , pp. 545-559
    • Fernandez, G.1    Hafez, M.2
  • 5
    • 0035974268 scopus 로고    scopus 로고
    • A coupled BEM and arbitrary Lagrangian-Eulerian FEM model for the solution of two-dimensional laminar flows in external flow fields
    • Young DL, Chang JT, Eldho TI. A coupled BEM and arbitrary Lagrangian-Eulerian FEM model for the solution of two-dimensional laminar flows in external flow fields. International Journal for Numerical Methods in Engineering 2001; 51:1053-1077.
    • (2001) International Journal for Numerical Methods in Engineering , vol.51 , pp. 1053-1077
    • Young, D.L.1    Chang, J.T.2    Eldho, T.I.3
  • 6
    • 0033605005 scopus 로고    scopus 로고
    • Numerical solution of three-dimensional stream function vector components of vorticity transport equations
    • Elshabka AM, Chung TJ. Numerical solution of three-dimensional stream function vector components of vorticity transport equations. Computer Methods in Applied Mechanics and Engineering 1999; 170:131-153.
    • (1999) Computer Methods in Applied Mechanics and Engineering , vol.170 , pp. 131-153
    • Elshabka, A.M.1    Chung, T.J.2
  • 7
    • 85171851118 scopus 로고
    • Stream functions for three-dimensional flows
    • Giese JH. Stream functions for three-dimensional flows. Journal of Mathematical Physics 1951; 30(1):31-35.
    • (1951) Journal of Mathematical Physics , vol.30 , Issue.1 , pp. 31-35
    • Giese, J.H.1
  • 8
    • 0002075381 scopus 로고    scopus 로고
    • Finite difference methods for 3D viscous incompressible flows in the vorticity-vector-potential formulation on nonstaggered grids
    • Weinan E, Liu JG. Finite difference methods for 3D viscous incompressible flows in the vorticity-vector-potential formulation on nonstaggered grids. Journal of Computational Physics 1997; 138 57-82.
    • (1997) Journal of Computational Physics , vol.138 , pp. 57-82
    • Weinan, E.1    Liu, J.G.2
  • 9
    • 0037137877 scopus 로고    scopus 로고
    • A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm
    • Wong KL, Baker AJ. A 3D incompressible Navier-Stokes velocity-vorticity weak form finite element algorithm. International Journal for Numerical Methods in Fluids 2002; 38:99-123.
    • (2002) International Journal for Numerical Methods in Fluids , vol.38 , pp. 99-123
    • Wong, K.L.1    Baker, A.J.2
  • 10
    • 0034514774 scopus 로고    scopus 로고
    • Solution of the Navier-Stokes equations in velocity-vorticity form using a Eulerian-Lagrangian boundary element method
    • Young DL, Yang SK, Eldho TI. Solution of the Navier-Stokes equations in velocity-vorticity form using a Eulerian-Lagrangian boundary element method. International Journal for Numerical Methods in Fluids 2000; 34:627-650.
    • (2000) International Journal for Numerical Methods in Fluids , vol.34 , pp. 627-650
    • Young, D.L.1    Yang, S.K.2    Eldho, T.I.3
  • 11
    • 0033736991 scopus 로고    scopus 로고
    • A combined BEM-FEM model for the velocity-vorticity formulation of the Navier-Stokes equations in three dimensions
    • Young DL, Liu YH, Eldho TI. A combined BEM-FEM model for the velocity-vorticity formulation of the Navier-Stokes equations in three dimensions. Engineering Analysis with Boundary Elements 2000; 24:307-316.
    • (2000) Engineering Analysis With Boundary Elements , vol.24 , pp. 307-316
    • Young, D.L.1    Liu, Y.H.2    Eldho, T.I.3
  • 12
    • 0000223946 scopus 로고
    • A vorticity-velocity method for the numerical solution of 3D incompressible flows
    • Guj G, Stella F. A vorticity-velocity method for the numerical solution of 3D incompressible flows. Journal of Computational Physics 1993; 106:286-298.
    • (1993) Journal of Computational Physics , vol.106 , pp. 286-298
    • Guj, G.1    Stella, F.2
  • 13
    • 0002249494 scopus 로고
    • Effective vorticity-velocity formulations for three-dimensional incompressible viscous flows
    • Wu XH, Wu JZ, Wu JM. Effective vorticity-velocity formulations for three-dimensional incompressible viscous flows. Journal of Computational Physics 1995; 122:68-82.
    • (1995) Journal of Computational Physics , vol.122 , pp. 68-82
    • Wu, X.H.1    Wu, J.Z.2    Wu, J.M.3
  • 14
    • 0030210913 scopus 로고    scopus 로고
    • Optimal vorticity conditions for the node-centred finite-difference discretization of the second-order vorticity-velocity equations
    • Giannattasio P, Napolitano M. Optimal vorticity conditions for the node-centred finite-difference discretization of the second-order vorticity-velocity equations. Journal of Computational Physics 1996; 127:208-217.
    • (1996) Journal of Computational Physics , vol.127 , pp. 208-217
    • Giannattasio, P.1    Napolitano, M.2
  • 15
    • 0000847415 scopus 로고    scopus 로고
    • A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions
    • Clercx HJH. A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with two nonperiodic directions. Journal of Computational Physics 1997; 137 186-211.
    • (1997) Journal of Computational Physics , vol.137 , pp. 186-211
    • Clercx, H.J.H.1
  • 17
    • 0018330228 scopus 로고
    • A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
    • Goda K. A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows. Journal of Computational Physics 1979; 30:76-95.
    • (1979) Journal of Computational Physics , vol.30 , pp. 76-95
    • Goda, K.1
  • 18
    • 0023997669 scopus 로고
    • Numerical solutions of the high-Re recirculating flows in vorticity-velocity form
    • Guj G, Stella F. Numerical solutions of the high-Re recirculating flows in vorticity-velocity form. International Journal for Numerical Methods in Fluids 1988; 8:405-416.
    • (1988) International Journal for Numerical Methods in Fluids , vol.8 , pp. 405-416
    • Guj, G.1    Stella, F.2
  • 19
    • 0001307859 scopus 로고
    • Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique
    • Daube O. Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique. Journal of Computational Physics 1992; 103:402-414.
    • (1992) Journal of Computational Physics , vol.103 , pp. 402-414
    • Daube, O.1
  • 20
    • 0035274362 scopus 로고    scopus 로고
    • Two-dimensional incompressible flows by velocity-vorticity formulation and finite element method
    • Lo DC, Young DL. Two-dimensional incompressible flows by velocity-vorticity formulation and finite element method. Chinese Journal of Mechanics 2001; 17(1):13-20.
    • (2001) Chinese Journal of Mechanics , vol.17 , Issue.1 , pp. 13-20
    • Lo, D.C.1    Young, D.L.2
  • 21
    • 0016894436 scopus 로고
    • Investigation of the stability of boundary layers by a finite-difference model of the Navier-Stokes equations
    • Fasel H. Investigation of the stability of boundary layers by a finite-difference model of the Navier-Stokes equations. Journal of Fluid Mechanics 1976; 78:355-383.
    • (1976) Journal of Fluid Mechanics , vol.78 , pp. 355-383
    • Fasel, H.1
  • 22
    • 0023214166 scopus 로고
    • Vorticity-velocity formulation for high Re flows
    • Orlandi P. Vorticity-velocity formulation for high Re flows. Computers and Fluids 1987; 15:137-149.
    • (1987) Computers and Fluids , vol.15 , pp. 137-149
    • Orlandi, P.1
  • 23
    • 0035868199 scopus 로고    scopus 로고
    • Numerical solution of three-dimensional Navier-Stokes equations by a velocity-vorticiry method
    • Liu CH. Numerical solution of three-dimensional Navier-Stokes equations by a velocity-vorticiry method. International Journal for Numerical Methods in Fluids 2001; 35:533-557.
    • (2001) International Journal for Numerical Methods in Fluids , vol.35 , pp. 533-557
    • Liu, C.H.1
  • 24
    • 0025890711 scopus 로고
    • A numerical method for the vorticity-velocity Navier-Stokes equations in two and three dimensions
    • Napolitano M, Pascazio G. A numerical method for the vorticity-velocity Navier-Stokes equations in two and three dimensions. Computer and Fluids 1991; 19:489-495.
    • (1991) Computer and Fluids , vol.19 , pp. 489-495
    • Napolitano, M.1    Pascazio, G.2
  • 26
    • 0015818454 scopus 로고
    • The method of the false transient for the solution of coupled elliptic equations
    • Mallinson G, de Vahl Davis G. The method of the false transient for the solution of coupled elliptic equations. Journal of Computational Physics 1973; 12:435-461.
    • (1973) Journal of Computational Physics , vol.12 , pp. 435-461
    • Mallinson, G.1    de Vahl Davis, G.2
  • 30
    • 0141940283 scopus 로고    scopus 로고
    • Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method
    • Shu C, Wang L, Chew YT. Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method. International Journal for Numerical Methods in Fluids 2003; 43:345-368.
    • (2003) International Journal for Numerical Methods in Fluids , vol.43 , pp. 345-368
    • Shu, C.1    Wang, L.2    Chew, Y.T.3
  • 31
    • 0345458247 scopus 로고    scopus 로고
    • Three dimensional viscous incompressible flow simulations using Helmholtz velocity decomposition
    • Nikfetrat K, Hafez M. Three dimensional viscous incompressible flow simulations using Helmholtz velocity decomposition. Computational Fluid Dynamics Journal 2002; 10(4):439-445.
    • (2002) Computational Fluid Dynamics Journal , vol.10 , Issue.4 , pp. 439-445
    • Nikfetrat, K.1    Hafez, M.2
  • 32
    • 0030294702 scopus 로고    scopus 로고
    • Numerical simulation of three-dimensional incompressible flow by a new formulation
    • Ho CJ, Lin FH. Numerical simulation of three-dimensional incompressible flow by a new formulation. International Journal for Numerical Methods in Fluids 1996; 23:1073-1084.
    • (1996) International Journal for Numerical Methods in Fluids , vol.23 , pp. 1073-1084
    • Ho, C.J.1    Lin, F.H.2
  • 33
    • 0001557257 scopus 로고
    • A pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations
    • Ku HC, Hirsh RS, Taylor TD. A pseudospectral method for solution of the three-dimensional incompressible Navier-Stokes equations. Journal of Computational Physics 1987; 70:439-462.
    • (1987) Journal of Computational Physics , vol.70 , pp. 439-462
    • Ku, H.C.1    Hirsh, R.S.2    Taylor, T.D.3
  • 34
    • 0000331776 scopus 로고
    • Analytic and numerical studies of structure of steady separated flows
    • Burggraff OR. Analytic and numerical studies of structure of steady separated flows. Journal of Fluid Mechanics 1966; 24:131-151.
    • (1966) Journal of Fluid Mechanics , vol.24 , pp. 131-151
    • Burggraff, O.R.1
  • 35
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia U, Ghia KN, Shin CT. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics 1982; 48:387-411.
    • (1982) Journal of Computational Physics , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.