메뉴 건너뛰기




Volumn 199, Issue 45-48, 2010, Pages 3051-3057

An augmented Lagrangian approach to Bingham fluid flows in a lid-driven square cavity with piecewise linear equal-order finite elements

Author keywords

Augmented Lagrangian method; Bingham fluid flows in a lid driven cavity; Finite element method; Mesh adaptivity; Viscoplastic fluids; Yield surfaces

Indexed keywords

AUGMENTED LAGRANGIAN METHODS; BINGHAM FLUID; FINITE ELEMENT; MESH ADAPTIVITY; VISCOPLASTIC FLUID; YIELD SURFACE;

EID: 78549256715     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2010.06.020     Document Type: Article
Times cited : (27)

References (34)
  • 3
    • 34548311912 scopus 로고    scopus 로고
    • An augmented Lagrangian-based approach to the Oseen problem
    • Benzi M., Olshanskii M.A. An augmented Lagrangian-based approach to the Oseen problem. SIAM J. Sci. Comput. 2006, 28(6):2095-2113.
    • (2006) SIAM J. Sci. Comput. , vol.28 , Issue.6 , pp. 2095-2113
    • Benzi, M.1    Olshanskii, M.A.2
  • 4
    • 0001334246 scopus 로고
    • A finite element for the numerical solution of viscous incompressible flows
    • Bercovier M., Engelman M. A finite element for the numerical solution of viscous incompressible flows. J. Comput. Phys. 1979, 30:181-201.
    • (1979) J. Comput. Phys. , vol.30 , pp. 181-201
    • Bercovier, M.1    Engelman, M.2
  • 5
    • 84946621762 scopus 로고
    • A finite element for incompressible non-Newtonian flows
    • Bercovier M., Engelman M. A finite element for incompressible non-Newtonian flows. J. Comput. Phys. 1980, 36:313-326.
    • (1980) J. Comput. Phys. , vol.36 , pp. 313-326
    • Bercovier, M.1    Engelman, M.2
  • 7
    • 0024715790 scopus 로고
    • Numerical analysis of extrude swell in viscoelastic materials with yield stress
    • Beverly C.R., Tanner R.I. Numerical analysis of extrude swell in viscoelastic materials with yield stress. J. Rheol. 1989, 33:989-1009.
    • (1989) J. Rheol. , vol.33 , pp. 989-1009
    • Beverly, C.R.1    Tanner, R.I.2
  • 8
    • 0020648263 scopus 로고
    • The rheology and flow of viscoplastic materials
    • Bird R.B., Dai G.C., Yarusso B.J. The rheology and flow of viscoplastic materials. Rev. Chem. Engrg. 1982, 1:1-70.
    • (1982) Rev. Chem. Engrg. , vol.1 , pp. 1-70
    • Bird, R.B.1    Dai, G.C.2    Yarusso, B.J.3
  • 9
    • 68149179234 scopus 로고    scopus 로고
    • Preconditioned nullspace method for the two-dimensional Oseen problem
    • Borne S.L.E. Preconditioned nullspace method for the two-dimensional Oseen problem. SIAM J. Sci. Comput. 2009, 31(4):2494-2509.
    • (2009) SIAM J. Sci. Comput. , vol.31 , Issue.4 , pp. 2494-2509
    • Borne, S.L.E.1
  • 12
    • 67649983271 scopus 로고    scopus 로고
    • Discussions on driven cavity flow
    • Erturk E. Discussions on driven cavity flow. Int. J. Numer. Meth. Fluids 2009, 60:275-294.
    • (2009) Int. J. Numer. Meth. Fluids , vol.60 , pp. 275-294
    • Erturk, E.1
  • 15
    • 0033371902 scopus 로고    scopus 로고
    • Modeling of viscoelastic lid driven cavity flow using finite element simulations J
    • Grillet A., Yang B., Khomami B., Shaqfeh E.S.G. Modeling of viscoelastic lid driven cavity flow using finite element simulations J. Non-Newtonian Fluid Mech. 1999, 88:99-131.
    • (1999) Non-Newtonian Fluid Mech. , vol.88 , pp. 99-131
    • Grillet, A.1    Yang, B.2    Khomami, B.3    Shaqfeh, E.S.G.4
  • 16
    • 0018329975 scopus 로고
    • Finite element analysis of incompressible viscous flows by the penalty function formulation
    • Hughes T.J.R., Liu W.K., Brooks A. Finite element analysis of incompressible viscous flows by the penalty function formulation. J. Comput. Phys. 1979, 30:1-60.
    • (1979) J. Comput. Phys. , vol.30 , pp. 1-60
    • Hughes, T.J.R.1    Liu, W.K.2    Brooks, A.3
  • 17
    • 22544451824 scopus 로고    scopus 로고
    • Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids
    • Huilgol R.R., You Z. Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel-Bulkley fluids. J. Non-Newtonian Fluid Mech. 2005, 128:126-143.
    • (2005) J. Non-Newtonian Fluid Mech. , vol.128 , pp. 126-143
    • Huilgol, R.R.1    You, Z.2
  • 18
    • 21244449239 scopus 로고    scopus 로고
    • Analysis of the Brezzi-Pitkäranta stabilized Galerkin scheme for creeping flows of Bingham fluids
    • Latché J.-C., Vola D. Analysis of the Brezzi-Pitkäranta stabilized Galerkin scheme for creeping flows of Bingham fluids. SIAM J. Numer. Anal. 2004, 42(3):1208-1225.
    • (2004) SIAM J. Numer. Anal. , vol.42 , Issue.3 , pp. 1208-1225
    • Latché, J.-C.1    Vola, D.2
  • 19
    • 0017984529 scopus 로고
    • Mixed finite element methods-reduced and selective integration techniques: a unification of concepts
    • Malkus D.S., Hughes T.J.R. Mixed finite element methods-reduced and selective integration techniques: a unification of concepts. Comput. Methods Appl. Mech. Engrg. 1978, 15:63-81.
    • (1978) Comput. Methods Appl. Mech. Engrg. , vol.15 , pp. 63-81
    • Malkus, D.S.1    Hughes, T.J.R.2
  • 20
    • 0037319781 scopus 로고    scopus 로고
    • Geometry effects in squeeze flow of Bingham plastics
    • Matsoukas A., Mitsoulis E. Geometry effects in squeeze flow of Bingham plastics. J. Non-Newtonian Fluid Mech. 2001, 109:231-240.
    • (2001) J. Non-Newtonian Fluid Mech. , vol.109 , pp. 231-240
    • Matsoukas, A.1    Mitsoulis, E.2
  • 21
    • 0035514986 scopus 로고    scopus 로고
    • Flow of Bingham plastics in a lid-driven square cavity
    • Mitsoulis E., Zisis Th. Flow of Bingham plastics in a lid-driven square cavity. J. Non-Newtonian Fluid Mech. 2001, 101:173-180.
    • (2001) J. Non-Newtonian Fluid Mech. , vol.101 , pp. 173-180
    • Mitsoulis, E.1    Zisis, T.2
  • 22
    • 7744239272 scopus 로고    scopus 로고
    • Numerical solution of duct flows of multiple visco-plastic fluids
    • Moyers-Gonzalez M.A., Friggard I.A. Numerical solution of duct flows of multiple visco-plastic fluids. J. Non-Newtonian Fluid Mech. 2004, 122:227-241.
    • (2004) J. Non-Newtonian Fluid Mech. , vol.122 , pp. 227-241
    • Moyers-Gonzalez, M.A.1    Friggard, I.A.2
  • 23
    • 34249090723 scopus 로고    scopus 로고
    • Two conditioners for saddle point problems in fluid flows
    • de Niet A.C., Wubs F.W. Two conditioners for saddle point problems in fluid flows. Int. J. Numer. Meth. Fluids. 2007, 54:355-377.
    • (2007) Int. J. Numer. Meth. Fluids. , vol.54 , pp. 355-377
    • de Niet, A.C.1    Wubs, F.W.2
  • 25
    • 0023379973 scopus 로고
    • Flows of materials with yield
    • Papanastasiou T.C. Flows of materials with yield. J. Rheol. 1987, 31:385-404.
    • (1987) J. Rheol. , vol.31 , pp. 385-404
    • Papanastasiou, T.C.1
  • 26
    • 70349629731 scopus 로고    scopus 로고
    • SIMPLE-type preconditioners for the Oseen problem
    • Rehman M.ur., Vuik C., Segal G. SIMPLE-type preconditioners for the Oseen problem. Int. J. Numer. Meth. Fluids. 2009, 61:432-452.
    • (2009) Int. J. Numer. Meth. Fluids. , vol.61 , pp. 432-452
    • Rehman, M.1    Vuik, C.2    Segal, G.3
  • 27
    • 0043127157 scopus 로고    scopus 로고
    • An adaptive finite element method for Bingham fluid flows around a cylinder
    • Roquet N., Saramito P. An adaptive finite element method for Bingham fluid flows around a cylinder. Comput. Methods Appl. Mech. Engrg. 2003, 192:3317-3341.
    • (2003) Comput. Methods Appl. Mech. Engrg. , vol.192 , pp. 3317-3341
    • Roquet, N.1    Saramito, P.2
  • 28
    • 0035919575 scopus 로고    scopus 로고
    • An adaptive finite element method for viscoplastic fluid flows in pipes
    • Saramito P., Roquet N. An adaptive finite element method for viscoplastic fluid flows in pipes. Comput. Methods Appl. Mech. Engrg. 2001, 190:5391-5412.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 5391-5412
    • Saramito, P.1    Roquet, N.2
  • 30
    • 0026943363 scopus 로고
    • Flow of viscoplastic fluids in eccentric annular geometries
    • Szabo P., Hassager O. Flow of viscoplastic fluids in eccentric annular geometries. J. Non-Newtonian Fluid Mech. 1992, 45:149-169.
    • (1992) J. Non-Newtonian Fluid Mech. , vol.45 , pp. 149-169
    • Szabo, P.1    Hassager, O.2
  • 31
    • 0038625303 scopus 로고    scopus 로고
    • Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results
    • Vola D., Boscardin L., Latché J.-C. Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results. J. Comput. Phys. 2003, 187:441-456.
    • (2003) J. Comput. Phys. , vol.187 , pp. 441-456
    • Vola, D.1    Boscardin, L.2    Latché, J.-C.3
  • 32
    • 0034255121 scopus 로고    scopus 로고
    • The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces
    • Vuik C., Saghir A., Boerstoel G.P. The Krylov accelerated SIMPLE(R) method for flow problems in industrial furnaces. Int. J. Numer. Meth. Fluids. 2000, 33:1027-1040.
    • (2000) Int. J. Numer. Meth. Fluids. , vol.33 , pp. 1027-1040
    • Vuik, C.1    Saghir, A.2    Boerstoel, G.P.3
  • 33
    • 0033097688 scopus 로고    scopus 로고
    • Tracking of the yield surfaces of laminar viscoplastic flows in noncircular ducts using an adaptive scheme
    • Wang Y. Tracking of the yield surfaces of laminar viscoplastic flows in noncircular ducts using an adaptive scheme. Proc. Natl. Sci. Counc. ROC(A). 1999, 23:311-318.
    • (1999) Proc. Natl. Sci. Counc. ROC(A). , vol.23 , pp. 311-318
    • Wang, Y.1
  • 34
    • 0027606845 scopus 로고
    • Squeezing flow of a Bingham material
    • Wilson S.D.R. Squeezing flow of a Bingham material. J. Non-Newtonian Fluid Mech. 1993, 47:211-219.
    • (1993) J. Non-Newtonian Fluid Mech. , vol.47 , pp. 211-219
    • Wilson, S.D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.