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Volumn 87, Issue 5, 2007, Pages 377-392

Numerical solutions of 2-D steady incompressible flow in a driven skewed cavity

Author keywords

Driven skewed cavity flow; Finite difference; General curvilinear coordinates; Non orthogonal grid mesh; Steady incompressible N S equations

Indexed keywords


EID: 34250368943     PISSN: 00442267     EISSN: 15214001     Source Type: Journal    
DOI: 10.1002/zamm.200610322     Document Type: Article
Times cited : (59)

References (32)
  • 1
    • 0035885080 scopus 로고    scopus 로고
    • Boundary element analysis of driven cavity flow for low and moderate Reynolds numbers
    • M. Aydin and R.T. Fenner, Boundary element analysis of driven cavity flow for low and moderate Reynolds numbers, Int. J. Numer. Meth. Fluids 37 45-64 (2001).
    • (2001) Int. J. Numer. Meth. Fluids , vol.37 , pp. 45-64
    • Aydin, M.1    Fenner, R.T.2
  • 2
    • 0003121782 scopus 로고
    • On the convergence of numerical solutions for 2-D flows in a cavity at large Re
    • A. S. Benjamin and V. E. Denny, On the convergence of numerical solutions for 2-D flows in a cavity at large Re, J. Comput. Phys. 33, 340-358 (1979).
    • (1979) J. Comput. Phys , vol.33 , pp. 340-358
    • Benjamin, A.S.1    Denny, V.E.2
  • 3
    • 0034731854 scopus 로고    scopus 로고
    • Schwarz domain decomposition for the incompressible Navier-Stokes equations in general co-ordinates
    • E. Brakkee, P. Wesseling, and C. G. M. Kassels, Schwarz domain decomposition for the incompressible Navier-Stokes equations in general co-ordinates, Int. J. Numer. Meth. Fluids 32, 141-173 (2000).
    • (2000) Int. J. Numer. Meth. Fluids , vol.32 , pp. 141-173
    • Brakkee, E.1    Wesseling, P.2    Kassels, C.G.M.3
  • 4
    • 0032078546 scopus 로고    scopus 로고
    • Benchmark spectral results on the lid-driven cavity flow
    • O. Botella and R. Peyret, Benchmark spectral results on the lid-driven cavity flow, Comput. Fluids 27, 421-433 (1998).
    • (1998) Comput. Fluids , vol.27 , pp. 421-433
    • Botella, O.1    Peyret, R.2
  • 5
    • 0026906022 scopus 로고
    • Fluid flow and heat transfer test problems for non-orthogonal grids: Benchmark solutions
    • I. Demirdžić, Z. Lilekǎ, and M. Perić, Fluid flow and heat transfer test problems for non-orthogonal grids: benchmark solutions, Int. J. Numer. Meth. Fluids 15, 329-354 (1992).
    • (1992) Int. J. Numer. Meth. Fluids , vol.15 , pp. 329-354
    • Demirdžić, I.1    Lilekǎ, Z.2    Perić, M.3
  • 6
    • 20844459636 scopus 로고    scopus 로고
    • Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers
    • E. Erturk, T. C. Corke, and C. Gokcol, Numerical solutions of 2-D steady incompressible driven cavity flow at high Reynolds numbers, Int. J. Numer. Meth. Fluids 48, 747-774 (2005).
    • (2005) Int. J. Numer. Meth. Fluids , vol.48 , pp. 747-774
    • Erturk, E.1    Corke, T.C.2    Gokcol, C.3
  • 7
    • 31544447746 scopus 로고    scopus 로고
    • Fourth order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds Numbers
    • E. Erturk and C. Gokcol, Fourth order compact formulation of Navier-Stokes equations and driven cavity flow at high Reynolds Numbers, Int. J. Numer. Meth. Fluids 50, 421-436 (2006).
    • (2006) Int. J. Numer. Meth. Fluids , vol.50 , pp. 421-436
    • Erturk, E.1    Gokcol, C.2
  • 8
    • 9744245968 scopus 로고    scopus 로고
    • Numerical solutions of laminar incompressible flow past parabolic bodies at angles of attack
    • E. Erturk, O. M. Haddad, and T. C. Corke, Numerical solutions of laminar incompressible flow past parabolic bodies at angles of attack, AIAA J. 42, 2254-2265 (2004).
    • (2004) AIAA J , vol.42 , pp. 2254-2265
    • Erturk, E.1    Haddad, O.M.2    Corke, T.C.3
  • 9
    • 0019728808 scopus 로고
    • Nature of viscous flows near sharp corners
    • M. M. Gupta, R. P. Manohar, and B. Noble, Nature of viscous flows near sharp corners, Comput. Fluids 9, 379-388 (1981).
    • (1981) Comput. Fluids , vol.9 , pp. 379-388
    • Gupta, M.M.1    Manohar, R.P.2    Noble, B.3
  • 10
    • 0030188174 scopus 로고    scopus 로고
    • Discrete compatibility in finite difference methods for viscous incompressible fluid flow
    • H. Huang and B. R. Wetton, Discrete compatibility in finite difference methods for viscous incompressible fluid flow, J. Comput. Phys. 126, 468-478 (1996).
    • (1996) J. Comput. Phys , vol.126 , pp. 468-478
    • Huang, H.1    Wetton, B.R.2
  • 11
    • 0034837134 scopus 로고    scopus 로고
    • The effect of choosing dependent variables and cellface velocities on convergence of the SIMPLE algorithm using non-orthogonal grids
    • H. Lai and Y.Y. Yan, The effect of choosing dependent variables and cellface velocities on convergence of the SIMPLE algorithm using non-orthogonal grids, Int. J. Numer. Meth. Heat & Fluid Flow 11, 524-546 (2001).
    • (2001) Int. J. Numer. Meth. Heat & Fluid Flow , vol.11 , pp. 524-546
    • Lai, H.1    Yan, Y.Y.2
  • 12
    • 0029106259 scopus 로고
    • A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations
    • M. Li, T. Tang, and B. Fornberg, A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations, Int. J. Numer. Meth. Fluids 20, 1137-1151 (1995).
    • (1995) Int. J. Numer. Meth. Fluids , vol.20 , pp. 1137-1151
    • Li, M.1    Tang, T.2    Fornberg, B.3
  • 13
    • 0031277859 scopus 로고    scopus 로고
    • An finite efficient difference technique for computing incompressible viscous flows
    • M. Louaked, L. Hanich, and K.D. Nguyen, An finite efficient difference technique for computing incompressible viscous flows, Int. J. Numer. Meth. Fluids 25, 1057-1082 (1997).
    • (1997) Int. J. Numer. Meth. Fluids , vol.25 , pp. 1057-1082
    • Louaked, M.1    Hanich, L.2    Nguyen, K.D.3
  • 14
    • 77952889884 scopus 로고
    • Viscous and resistive eddies near a sharp corner
    • H.K. Moffatt, Viscous and resistive eddies near a sharp corner, J. Fluid Mech. 18, 1-18 (1963).
    • (1963) J. Fluid Mech , vol.18 , pp. 1-18
    • Moffatt, H.K.1
  • 15
    • 0033082861 scopus 로고    scopus 로고
    • A review of vorticity conditions in the numerical solution of the ζ-ψ equations
    • M. Napolitano, G. Pascazio, and L. Quartapelle, A review of vorticity conditions in the numerical solution of the ζ-ψ equations, Comput. Fluids 28, 139-185 (1999).
    • (1999) Comput. Fluids , vol.28 , pp. 139-185
    • Napolitano, M.1    Pascazio, G.2    Quartapelle, L.3
  • 16
    • 0026833160 scopus 로고
    • Higher-order solutions of square driven cavity flow using a variable-order multi-grid method
    • H. Nishida and N. Satofuka, Higher-order solutions of square driven cavity flow using a variable-order multi-grid method, Int. J. Numer. Meth. Fluids 34, (1992) 637-653.
    • (1992) Int. J. Numer. Meth. Fluids , vol.34 , pp. 637-653
    • Nishida, H.1    Satofuka, N.2
  • 17
    • 0027643082 scopus 로고
    • Benchmark solutions for the incompressible Navier-Stokes equations in general co-ordinates on staggered grids
    • C. W. Oosterlee, P. Wesseling, A. Segal, and E. Brakkee, Benchmark solutions for the incompressible Navier-Stokes equations in general co-ordinates on staggered grids, Int. J. Numer. Meth. Fluids 17, 301-321 (1993).
    • (1993) Int. J. Numer. Meth. Fluids , vol.17 , pp. 301-321
    • Oosterlee, C.W.1    Wesseling, P.2    Segal, A.3    Brakkee, E.4
  • 18
    • 0003163345 scopus 로고    scopus 로고
    • Nonstaggered boundary-fitted Coordinate method for free surface flows
    • J. R. Pacheco and R. E. Peck, Nonstaggered boundary-fitted Coordinate method for free surface flows, Numer. Heat Transfer Part B 37, 267-291 (2000).
    • (2000) Numer. Heat Transfer Part B , vol.37 , pp. 267-291
    • Pacheco, J.R.1    Peck, R.E.2
  • 19
    • 0025226342 scopus 로고
    • Analysis of pressure-velocity coupling on non-orthogonal grids
    • M. Perić, Analysis of pressure-velocity coupling on non-orthogonal grids, Numer. Heat Transfer Part B 17, 63-82 (1990).
    • (1990) Numer. Heat Transfer Part B , vol.17 , pp. 63-82
    • Perić, M.1
  • 20
    • 0033617949 scopus 로고    scopus 로고
    • An efficient solution method for incompressible N-S equations using non-orthogonal collocated grid
    • D. G. Roychowdhury, S. K. Das, and T. Sundararajan, An efficient solution method for incompressible N-S equations using non-orthogonal collocated grid, Int. J. Numer Meth. Eng. 45, 741-763 (1999).
    • (1999) Int. J. Numer Meth. Eng , vol.45 , pp. 741-763
    • Roychowdhury, D.G.1    Das, S.K.2    Sundararajan, T.3
  • 21
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • R. Schreiber and H. B. Keller, Driven cavity flows by efficient numerical techniques, J. Comput. Phys. 49, 310-333 (1983).
    • (1983) J. Comput. Phys , vol.49 , pp. 310-333
    • Schreiber, R.1    Keller, H.B.2
  • 22
    • 0037654658 scopus 로고    scopus 로고
    • Numerical method for calculation of the incompressible flow in general curvilinear co-ordinates with double staggered grid
    • A. Shklyar and A. Arbel, Numerical method for calculation of the incompressible flow in general curvilinear co-ordinates with double staggered grid, Int. J. Numer. Meth. Fluids 41, 1273-1294 (2003).
    • (2003) Int. J. Numer. Meth. Fluids , vol.41 , pp. 1273-1294
    • Shklyar, A.1    Arbel, A.2
  • 23
    • 0032582303 scopus 로고    scopus 로고
    • Accuracy and performance of numerical wall boundary conditions for steady 2D incompressible streamfunction vorticity
    • W. F. Spotz, Accuracy and performance of numerical wall boundary conditions for steady 2D incompressible streamfunction vorticity, Int. J. Numer. Meth. Fluids 28, 737-757 (1998).
    • (1998) Int. J. Numer. Meth. Fluids , vol.28 , pp. 737-757
    • Spotz, W.F.1
  • 24
    • 0028372538 scopus 로고
    • An asymptotic solution for the singularity at the angular point of the lid driven cavity
    • T. Stortkuhl, C. Zenger, and S. Zimmer, An asymptotic solution for the singularity at the angular point of the lid driven cavity, Int. J. Numer. Meth. Heat & Fluid Flow 4, 47-59 (1994).
    • (1994) Int. J. Numer. Meth. Heat & Fluid Flow , vol.4 , pp. 47-59
    • Stortkuhl, T.1    Zenger, C.2    Zimmer, S.3
  • 25
    • 0035879627 scopus 로고    scopus 로고
    • A multiblock/multilevel mesh refinement procedure for cfd computations
    • R. Teigland and I. K. Eliassen, A multiblock/multilevel mesh refinement procedure for cfd computations, Int. J. Numer. Meth. Fluids 36, 519-538 (2001).
    • (2001) Int. J. Numer. Meth. Fluids , vol.36 , pp. 519-538
    • Teigland, R.1    Eliassen, I.K.2
  • 27
    • 0034088015 scopus 로고    scopus 로고
    • A Cartesian cut cell method for incompressible viscous flow
    • P. G. Tucker and Z. Pan, A Cartesian cut cell method for incompressible viscous flow, Appl. Math. Mod. 24, 591-606 (2000).
    • (2000) Appl. Math. Mod , vol.24 , pp. 591-606
    • Tucker, P.G.1    Pan, Z.2
  • 28
    • 0343192305 scopus 로고    scopus 로고
    • On the improvement of the SIMPLE-like method for flows with complex geometry
    • Y. Wang and S. Komori, On the improvement of the SIMPLE-like method for flows with complex geometry, Heat Mass Trans. 36, 71-78 (2000).
    • (2000) Heat Mass Trans , vol.36 , pp. 71-78
    • Wang, Y.1    Komori, S.2
  • 29
    • 0030584561 scopus 로고    scopus 로고
    • Vorticity boundary condition and related issues for finite difference schemes
    • E. Weinan and L. Jian-Guo, Vorticity boundary condition and related issues for finite difference schemes, J. Comput. Phys. 124, 368-382 (1996).
    • (1996) J. Comput. Phys , vol.124 , pp. 368-382
    • Weinan, E.1    Jian-Guo, L.2
  • 30
    • 0028992289 scopus 로고
    • An efficient multigrid approach to solving highly recirculating flows
    • N. G. Wright and P. H. Gaskell, An efficient multigrid approach to solving highly recirculating flows, Comput. Fluids 24, 63-79 (1995).
    • (1995) Comput. Fluids , vol.24 , pp. 63-79
    • Wright, N.G.1    Gaskell, P.H.2
  • 31
    • 0033616535 scopus 로고    scopus 로고
    • Study of the effect of the non-orthogonality for non-staggered grids - the results
    • H. Xu and C. Zhang, Study of the effect of the non-orthogonality for non-staggered grids - the results, Int. J. Numer. Meth. Fluids 29, 625-644 (1999).
    • (1999) Int. J. Numer. Meth. Fluids , vol.29 , pp. 625-644
    • Xu, H.1    Zhang, C.2
  • 32
    • 0033999615 scopus 로고    scopus 로고
    • Numerical calculation of laminar flows using contravariant velocity fluxes
    • H. Xu and C. Zhang, Numerical calculation of laminar flows using contravariant velocity fluxes, Comput. Fluids 29, 149-177 (2000).
    • (2000) Comput. Fluids , vol.29 , pp. 149-177
    • Xu, H.1    Zhang, C.2


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