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Volumn 147, Issue 1-2, 2007, Pages 79-91

A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements

Author keywords

Finite volume; Iterative methods; Three dimensional; Unstructured methods; Viscoelastic fluid flow

Indexed keywords

CONSTITUTIVE EQUATIONS; FINITE VOLUME METHOD; FLUID STRUCTURE INTERACTION; ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; NAVIER STOKES EQUATIONS; PRESSURE DISTRIBUTION; STRESS CONCENTRATION; VELOCITY DISTRIBUTION; VISCOELASTICITY;

EID: 35348837291     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2007.06.008     Document Type: Article
Times cited : (36)

References (34)
  • 1
    • 0035961193 scopus 로고    scopus 로고
    • The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods
    • Alves M.A., Pinho F.T., and Oliveira P.J. The flow of viscoelastic fluids past a cylinder: finite-volume high-resolution methods. J. Non-Newtonian Fluid Mech. 97 (2001) 207-232
    • (2001) J. Non-Newtonian Fluid Mech. , vol.97 , pp. 207-232
    • Alves, M.A.1    Pinho, F.T.2    Oliveira, P.J.3
  • 2
    • 0028315726 scopus 로고
    • An implicit upwind algorithm for computing turbulent flows on unstructured grids
    • Anderson W.K., and Bonhaus D.L. An implicit upwind algorithm for computing turbulent flows on unstructured grids. Comput. Fluids 23 (1994) 1-21
    • (1994) Comput. Fluids , vol.23 , pp. 1-21
    • Anderson, W.K.1    Bonhaus, D.L.2
  • 3
    • 0032030031 scopus 로고    scopus 로고
    • An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid
    • Baaijens F.P.T. An iterative solver for the DEVSS/DG method with application to smooth and non-smooth flows of the upper convected Maxwell fluid. J. Non-Newtonian Fluid Mech. 75 (1998) 119-138
    • (1998) J. Non-Newtonian Fluid Mech. , vol.75 , pp. 119-138
    • Baaijens, F.P.T.1
  • 4
    • 84938368610 scopus 로고    scopus 로고
    • T.J. Barth, A 3-D upwind Euler solver for unstructured meshes, AIAA Paper 91-1548-CP, 1991.
  • 5
    • 35348839377 scopus 로고    scopus 로고
    • S. Balay, K. Buschelman, V. Eijkhout, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. McInnes, B.F. Smith, H. Zhang, PETSc User's Manual. ANL-95/11, Mathematics and Computer Science Division, Argonne National Laboratory, 2004. http://www-unix.mcs.anl.gov/petsc/petsc-as/
  • 6
    • 20044390432 scopus 로고    scopus 로고
    • Numerical solution of saddle point problems
    • Benzi M., Golub G.H., and Liesen J. Numerical solution of saddle point problems. Acta Numerica 14 (2005) 1-137
    • (2005) Acta Numerica , vol.14 , pp. 1-137
    • Benzi, M.1    Golub, G.H.2    Liesen, J.3
  • 8
    • 0032072798 scopus 로고    scopus 로고
    • Parallelisation of an unstructured finite volume code with PVM: viscoelastic flow around a cylinder
    • Dou H.-S., and Phan-Thien N. Parallelisation of an unstructured finite volume code with PVM: viscoelastic flow around a cylinder. J. Non-Newtonian Fluid Mech. 77 (1998) 21-51
    • (1998) J. Non-Newtonian Fluid Mech. , vol.77 , pp. 21-51
    • Dou, H.-S.1    Phan-Thien, N.2
  • 9
    • 0038286336 scopus 로고    scopus 로고
    • A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations
    • Elman H.C., Howle V.E., Shadid J.N., and Tuminaro R.S. A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. J. Comput. Phys. 187 (2003) 504-523
    • (2003) J. Comput. Phys. , vol.187 , pp. 504-523
    • Elman, H.C.1    Howle, V.E.2    Shadid, J.N.3    Tuminaro, R.S.4
  • 10
    • 35348926656 scopus 로고    scopus 로고
    • R. Falgout, A. Baker, E. Chow, V.E. Henson, E. Hill, J. Jones, T. Kolev, B. Lee, J. Painter, C. Tong, P. Vassilevski, U.M. Yang, User's Manual, HYPRE High Performance Preconditioners, UCRL-MA-137155 DR, Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, 2002. http://www.llnl.gov/CASC/hypre/
  • 11
    • 0033567393 scopus 로고    scopus 로고
    • Galerkin/least-square finite element methods for steady viscoelastic flows
    • Fan Y.R., Tanner R.I., and Phan-Thien N. Galerkin/least-square finite element methods for steady viscoelastic flows. J. Non-Newtonian Fluid Mech. 84 (1999) 233-256
    • (1999) J. Non-Newtonian Fluid Mech. , vol.84 , pp. 233-256
    • Fan, Y.R.1    Tanner, R.I.2    Phan-Thien, N.3
  • 12
    • 0025476942 scopus 로고
    • A preconditioned generalized minimum residual algorithm for the numerical solution of viscoelastic fluid flows
    • Fortin A., and Fortin M. A preconditioned generalized minimum residual algorithm for the numerical solution of viscoelastic fluid flows. J. Non-Newtonian Fluid Mech. 36 (1990) 277-288
    • (1990) J. Non-Newtonian Fluid Mech. , vol.36 , pp. 277-288
    • Fortin, A.1    Fortin, M.2
  • 13
    • 0024165638 scopus 로고
    • Curvature-compensated convective transport: SMART, a new boundedness-preserving transport algorithm
    • Gaskell P.H., and Lau A.K.C. Curvature-compensated convective transport: SMART, a new boundedness-preserving transport algorithm. Int. J. Numer. Methods Fluids 8 (1988) 617-641
    • (1988) Int. J. Numer. Methods Fluids , vol.8 , pp. 617-641
    • Gaskell, P.H.1    Lau, A.K.C.2
  • 14
    • 18444412270 scopus 로고    scopus 로고
    • Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms
    • Hulsen M.A., Fattal R., and Kupferman R. Flow of viscoelastic fluids past a cylinder at high Weissenberg number: stabilized simulations using matrix logarithms. J. Non-Newtonian Fluid Mech. 127 (2005) 27-39
    • (2005) J. Non-Newtonian Fluid Mech. , vol.127 , pp. 27-39
    • Hulsen, M.A.1    Fattal, R.2    Kupferman, R.3
  • 15
    • 0035678671 scopus 로고    scopus 로고
    • A scalable parallel algorithm for incomplete factor preconditioning
    • Hysom D., and Pothen A. A scalable parallel algorithm for incomplete factor preconditioning. SIAM J. Sci. Comput. 22 (2001) 2194-2215
    • (2001) SIAM J. Sci. Comput. , vol.22 , pp. 2194-2215
    • Hysom, D.1    Pothen, A.2
  • 16
    • 0037250656 scopus 로고    scopus 로고
    • A preconditioner for the steady-state Navier-Stokes equations
    • Kay D., Loghin D., and Wathen A.J. A preconditioner for the steady-state Navier-Stokes equations. SIAM J. Sci. Comput. 24 (2002) 237-256
    • (2002) SIAM J. Sci. Comput. , vol.24 , pp. 237-256
    • Kay, D.1    Loghin, D.2    Wathen, A.J.3
  • 17
    • 8844253286 scopus 로고    scopus 로고
    • An efficient iterative solver and high-resolution computations of the Oldroyd-B fluid flow past a confined cylinder
    • Kim J.M., Kim C., Ahn K.H., and Lee S.J. An efficient iterative solver and high-resolution computations of the Oldroyd-B fluid flow past a confined cylinder. J. Non-Newtonian Fluid Mech. 123 (2004) 161-173
    • (2004) J. Non-Newtonian Fluid Mech. , vol.123 , pp. 161-173
    • Kim, J.M.1    Kim, C.2    Ahn, K.H.3    Lee, S.J.4
  • 18
    • 0018480361 scopus 로고
    • Stable and accurate convective modeling procedure based on quadratic upstream interpolation
    • Leonard B.P. Stable and accurate convective modeling procedure based on quadratic upstream interpolation. Comp. Methods Appl. Mech. Eng. 19 (1979) 59-98
    • (1979) Comp. Methods Appl. Mech. Eng. , vol.19 , pp. 59-98
    • Leonard, B.P.1
  • 19
    • 0027524062 scopus 로고
    • The wake instability in viscoelastic flow past confined circular cylinders
    • McKinley G.H., Armstrong R.C., and Brown R.A. The wake instability in viscoelastic flow past confined circular cylinders. Phil. Trans. R. Soc. Lond. A 344 (1993) 265-304
    • (1993) Phil. Trans. R. Soc. Lond. A , vol.344 , pp. 265-304
    • McKinley, G.H.1    Armstrong, R.C.2    Brown, R.A.3
  • 20
    • 0031258679 scopus 로고    scopus 로고
    • Unsteady finite volume simulation of Oldroyd-B fluid through a three-dimensional planar contraction
    • Mompean G., and Deville M. Unsteady finite volume simulation of Oldroyd-B fluid through a three-dimensional planar contraction. J. Non-Newtonian Fluid Mech. 72 (1997) 253-279
    • (1997) J. Non-Newtonian Fluid Mech. , vol.72 , pp. 253-279
    • Mompean, G.1    Deville, M.2
  • 21
    • 18444412569 scopus 로고    scopus 로고
    • A numerical study of steady and unsteady viscoelastic flow past bounded cylinders
    • Oliveira P.J., and Miranda A.I.P. A numerical study of steady and unsteady viscoelastic flow past bounded cylinders. J. Non-Newtonian Fluid Mech. 127 (2005) 51-66
    • (2005) J. Non-Newtonian Fluid Mech. , vol.127 , pp. 51-66
    • Oliveira, P.J.1    Miranda, A.I.P.2
  • 22
    • 0032168593 scopus 로고    scopus 로고
    • Numerical simulation of non-linear elastic flows with a general collocated finite volume method
    • Oliveira P.J., Pinho F.T., and Pinto G.A. Numerical simulation of non-linear elastic flows with a general collocated finite volume method. J. Non-Newtonian Fluid Mech. 79 (1998) 1-43
    • (1998) J. Non-Newtonian Fluid Mech. , vol.79 , pp. 1-43
    • Oliveira, P.J.1    Pinho, F.T.2    Pinto, G.A.3
  • 23
  • 24
    • 0020844260 scopus 로고
    • Numerical study of the turbulent flow past an airfoil with trailing edge separation
    • Rhie C.M., and Chow W.L. Numerical study of the turbulent flow past an airfoil with trailing edge separation. AIAA J. 21 (1983) 1525-1532
    • (1983) AIAA J. , vol.21 , pp. 1525-1532
    • Rhie, C.M.1    Chow, W.L.2
  • 25
    • 35348842495 scopus 로고    scopus 로고
    • M. Rozloznik, Saddle point problems, iterative solution and preconditioning: a short overview, Proceedings of the XVth Summer School Software and Algorithms of Numerical Mathematics, I. Marek (Ed.), University of West Bohemia, Pilsen, (2003), 97-108.
  • 26
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Saad Y., and Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (1986) 856-869
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 27
    • 28144447721 scopus 로고    scopus 로고
    • A preconditioned semi-staggered dilation-free finite volume method for the incompressible Navier-Stokes equations on all-hexahedral elements
    • Sahin M. A preconditioned semi-staggered dilation-free finite volume method for the incompressible Navier-Stokes equations on all-hexahedral elements. Int. J. Numer. Methods Fluids 49 (2005) 959-974
    • (2005) Int. J. Numer. Methods Fluids , vol.49 , pp. 959-974
    • Sahin, M.1
  • 28
    • 0028992613 scopus 로고
    • A finite volume approach for calculation of viscoelastic flow through an abrupt axisymmetric contraction
    • Sasmal G.P. A finite volume approach for calculation of viscoelastic flow through an abrupt axisymmetric contraction. J. Non-Newtonian Fluid Mech. 56 (1995) 15-47
    • (1995) J. Non-Newtonian Fluid Mech. , vol.56 , pp. 15-47
    • Sasmal, G.P.1
  • 29
    • 0347075056 scopus 로고    scopus 로고
    • Hydroelastic instabilities in viscoelastic flow past a cylinder confined in a channel
    • Shiang A.H., Oztekin A., Lin J.-C., and Rockwell D. Hydroelastic instabilities in viscoelastic flow past a cylinder confined in a channel. Exp. Fluids 28 (2000) 128-142
    • (2000) Exp. Fluids , vol.28 , pp. 128-142
    • Shiang, A.H.1    Oztekin, A.2    Lin, J.-C.3    Rockwell, D.4
  • 30
    • 0037138222 scopus 로고    scopus 로고
    • Linear stability analysis of flow of an Oldroyd-B fluid through a linear array of cylinders
    • Smith M.D., Joo Y.L., Armstrong R.C., and Brown R.A. Linear stability analysis of flow of an Oldroyd-B fluid through a linear array of cylinders. J. Non-Newtonian Fluid Mech. 109 (2002) 13-50
    • (2002) J. Non-Newtonian Fluid Mech. , vol.109 , pp. 13-50
    • Smith, M.D.1    Joo, Y.L.2    Armstrong, R.C.3    Brown, R.A.4
  • 31
    • 0031746194 scopus 로고    scopus 로고
    • Three dimensional numerical simulations of viscoelastic flows through planar contractions
    • Xue S.-C., Phan-Thien N., and Tanner R.I. Three dimensional numerical simulations of viscoelastic flows through planar contractions. J. Non-Newtonian Fluid Mech. 72 (1998) 195-245
    • (1998) J. Non-Newtonian Fluid Mech. , vol.72 , pp. 195-245
    • Xue, S.-C.1    Phan-Thien, N.2    Tanner, R.I.3
  • 32
    • 0026119690 scopus 로고
    • A numerical study of the planar contraction flow of a viscoelastic fluid using the SIMPLER algorithm
    • Yoo J.Y., and Na Y. A numerical study of the planar contraction flow of a viscoelastic fluid using the SIMPLER algorithm. J. Non-Newtonian Fluid Mech. 39 (1991) 89-106
    • (1991) J. Non-Newtonian Fluid Mech. , vol.39 , pp. 89-106
    • Yoo, J.Y.1    Na, Y.2
  • 33
    • 1642344656 scopus 로고    scopus 로고
    • Visco-elastic flow past circular cylinders in a channel: experimental measurement of velocity and drag
    • Verhelst J.M., and Nieuwstadt F.T.M. Visco-elastic flow past circular cylinders in a channel: experimental measurement of velocity and drag. J. Non-Newtonian Fluid Mech. 116 (2004) 301-328
    • (2004) J. Non-Newtonian Fluid Mech. , vol.116 , pp. 301-328
    • Verhelst, J.M.1    Nieuwstadt, F.T.M.2
  • 34
    • 0032215864 scopus 로고    scopus 로고
    • A second-order hybrid finite-element/volume method for viscoelastic flows
    • Wapperom P., and Webster M.F. A second-order hybrid finite-element/volume method for viscoelastic flows. J. Non-Newtonian Fluid Mech. 79 (1998) 405-431
    • (1998) J. Non-Newtonian Fluid Mech. , vol.79 , pp. 405-431
    • Wapperom, P.1    Webster, M.F.2


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