메뉴 건너뛰기




Volumn 23, Issue 6, 2008, Pages 615-634

Two finite-difference schemes for calculation of Bingham fluid flows in a cavity

Author keywords

[No Author keywords available]

Indexed keywords

FLOW OF FLUIDS; FUNCTIONS; MATHEMATICAL OPERATORS; VARIATIONAL TECHNIQUES;

EID: 57849166438     PISSN: 09276467     EISSN: 15693988     Source Type: Journal    
DOI: 10.1515/RJNAMM.2008.035     Document Type: Article
Times cited : (21)

References (27)
  • 1
    • 20044390432 scopus 로고    scopus 로고
    • Numerical solution of saddle point problems
    • M. Benzi, G. H. Golub, and J. Liesen, Numerical solution of saddle point problems. Acta Numerica (2005) 14, 1-137,
    • (2005) Acta Numerica , vol.14 , pp. 1-137
    • Benzi, M.1    Golub, G.H.2    Liesen, J.3
  • 2
    • 84946621762 scopus 로고
    • A finite element method for incompressible non-Newtonian flows
    • M. Bercovier and M. Engelman, A finite element method for incompressible non-Newtonian flows. J. Camp. Phys. (1980) 36, 313-326.
    • (1980) J. Camp. Phys , vol.36 , pp. 313-326
    • Bercovier, M.1    Engelman, M.2
  • 3
    • 0035946979 scopus 로고    scopus 로고
    • Adaptive discretization of the Navier Stokes equations by stabilized finite element methods
    • S. Berrone, Adaptive discretization of the Navier Stokes equations by stabilized finite element methods. Comp. Meth. Appl. Mech. Engrg. (2001) 190, 4435-4455.
    • (2001) Comp. Meth. Appl. Mech. Engrg , vol.190 , pp. 4435-4455
    • Berrone, S.1
  • 4
    • 33751528291 scopus 로고    scopus 로고
    • Stabilization of low-order mixed finite elements for the Stokes equations
    • P. B. Bochev, C. R. Dohrmann, and M. D. Gunzburger, Stabilization of low-order mixed finite elements for the Stokes equations. SIAM J. Numet: Anal. (2006) 44, 82-101.
    • (2006) SIAM J. Numet: Anal , vol.44 , pp. 82-101
    • Bochev, P.B.1    Dohrmann, C.R.2    Gunzburger, M.D.3
  • 5
    • 33751063874 scopus 로고    scopus 로고
    • Stabilized finite element methods for the generalized Oseen problem
    • M. Braack, E. Burman, V. John, and G. Lube, Stabilized finite element methods for the generalized Oseen problem. Comp. Meth. Appl. Mech. Engrg. (2007) 196, 853-866.
    • (2007) Comp. Meth. Appl. Mech. Engrg , vol.196 , pp. 853-866
    • Braack, M.1    Burman, E.2    John, V.3    Lube, G.4
  • 6
    • 0029170572 scopus 로고
    • Operator-splitting method for incompressible Navier-Stokes equations on non-staggered grids. Part I: First-order schemes
    • A. G. Churbanov, A. N. Pavlov, and P. N. Vabishchevich, Operator-splitting method for incompressible Navier-Stokes equations on non-staggered grids. Part I: First-order schemes. Int. J. Numer. Meth. Fluids (1995) 21, 617-640.
    • (1995) Int. J. Numer. Meth. Fluids , vol.21 , pp. 617-640
    • Churbanov, A.G.1    Pavlov, A.N.2    Vabishchevich, P.N.3
  • 7
    • 0035994806 scopus 로고    scopus 로고
    • Operator-splitting methods for the simulation of Bingham viscoplastic flow
    • E. J. Dean and R. Glowinski, Operator-splitting methods for the simulation of Bingham viscoplastic flow. Chin. Ann. Math. (2002) B 23, 187-204.
    • (2002) Chin. Ann. Math , vol.B 23 , pp. 187-204
    • Dean, E.J.1    Glowinski, R.2
  • 8
    • 33847134718 scopus 로고    scopus 로고
    • On the numerical simulation of Bingham viscoplastic flow: Old and New results
    • E. J. Dean, R. Glowinski, and G. Guidoboni, On the numerical simulation of Bingham viscoplastic flow: Old and New results. J. Non-Newtonian Fluid Mech. (2007) 142, 36-62.
    • (2007) J. Non-Newtonian Fluid Mech , vol.142 , pp. 36-62
    • Dean, E.J.1    Glowinski, R.2    Guidoboni, G.3
  • 11
    • 0026386228 scopus 로고
    • Error analysis of some Galerkin least-squares methods for the elasticity equations
    • L. P. Franca and R. Stenberg, Error analysis of some Galerkin least-squares methods for the elasticity equations. SIAM J. Numer. Anal. (1991) 28, 1680-1697.
    • (1991) SIAM J. Numer. Anal , vol.28 , pp. 1680-1697
    • Franca, L.P.1    Stenberg, R.2
  • 16
    • 0035514986 scopus 로고    scopus 로고
    • Flow of Bingham plastics in a lid-driven cavity
    • E. Mitsoulis and Th. Zisis, Flow of Bingham plastics in a lid-driven 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
  • 17
    • 72949095751 scopus 로고    scopus 로고
    • On the kernel of the discrete gradient operator
    • E. A. Muravleva, On the kernel of the discrete gradient operator. Numer. Meth. Prog. (2008) 1, 93-100.
    • (2008) Numer. Meth. Prog , vol.1 , pp. 93-100
    • Muravleva, E.A.1
  • 18
    • 0026981258 scopus 로고
    • Analysis and convergence of the MAC scheme I. The linear problem
    • R. A. Nicolaides, Analysis and convergence of the MAC scheme I. The linear problem. SIAM J. Numer. Anal. (1992) 29, 1579-1591.
    • (1992) SIAM J. Numer. Anal , vol.29 , pp. 1579-1591
    • Nicolaides, R.A.1
  • 19
    • 0021412737 scopus 로고
    • Numerical study of the Bingham squeeze film problem
    • E. J. O'Donovan and R. I. Tanner, Numerical study of the Bingham squeeze film problem. J. Non-Newtonian Fluid Mech. (1984) 15, 75-83.
    • (1984) J. Non-Newtonian Fluid Mech , vol.15 , pp. 75-83
    • O'Donovan, E.J.1    Tanner, R.I.2
  • 20
    • 0023379973 scopus 로고
    • Flows of materials with yield
    • T. C. Papanastasiou, Flows of materials with yield. J. Rheol. (1987) 31, No. 5, 385-404.
    • (1987) J. Rheol , vol.31 , Issue.5 , pp. 385-404
    • Papanastasiou, T.C.1
  • 21
    • 33644962842 scopus 로고    scopus 로고
    • Fast iterative solvers for discrete Stokes equations
    • J. Peters, V. Reichelt, and A. Reusken, Fast iterative solvers for discrete Stokes equations. SIAM J. Sci. Comp. (2005) 27, 646-666.
    • (2005) SIAM J. Sci. Comp , vol.27 , pp. 646-666
    • Peters, J.1    Reichelt, V.2    Reusken, A.3
  • 22
    • 0043127157 scopus 로고    scopus 로고
    • An adaptive finite element method for Bingham fluid flow around a cylinder
    • N. Roquet and P. Saramito, An adaptive finite element method for Bingham fluid flow around a cylinder. Comp. Meth. Appl. Mech. Engrg. (2003) 192, 3317-3341.
    • (2003) Comp. Meth. Appl. Mech. Engrg , vol.192 , pp. 3317-3341
    • Roquet, N.1    Saramito, P.2
  • 23
    • 0032138419 scopus 로고    scopus 로고
    • Application of a first-order operator splitting method to Bingham fluid flow simulation
    • F. J. Sanchez, Application of a first-order operator splitting method to Bingham fluid flow simulation. Comp. Math, Appl. (1998) 36, No. 3, 71-86.
    • (1998) Comp. Math, Appl , vol.36 , Issue.3 , pp. 71-86
    • Sanchez, F.J.1
  • 24
    • 84966256275 scopus 로고
    • Error analysis of some finite element methods for the Stokes problem
    • R. Stenberg, Error analysis of some finite element methods for the Stokes problem. Math, Comp. (1990) 54, 495-508.
    • (1990) Math, Comp , vol.54 , pp. 495-508
    • Stenberg, R.1
  • 25
    • 0038625303 scopus 로고    scopus 로고
    • Laminar unsteady flows of Bingham fluids: A numerical strategy and some benchmark results
    • D. Vola, L. Boscardin, and J. C. Latche, Laminar unsteady flows of Bingham fluids: a numerical strategy and some benchmark results. J. Comp. Phys. (2003) 187, 441-456.
    • (2003) J. Comp. Phys , vol.187 , pp. 441-456
    • Vola, D.1    Boscardin, L.2    Latche, J.C.3
  • 26
    • 22544447650 scopus 로고    scopus 로고
    • Numerical simulation of non-isothermal viscoplastic waxy crude oil flows
    • G. Vinay, A. Wachs, and J. F. Agassant, Numerical simulation of non-isothermal viscoplastic waxy crude oil flows. J. Non-Newtonian Fluid Mech. (2005) 128, 144-162.
    • (2005) J. Non-Newtonian Fluid Mech , vol.128 , pp. 144-162
    • Vinay, G.1    Wachs, A.2    Agassant, J.F.3
  • 27
    • 33847167004 scopus 로고    scopus 로고
    • Numerical simulation of steady Bingham flow through an eccentric annular crosssection by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods
    • A. Wachs, Numerical simulation of steady Bingham flow through an eccentric annular crosssection by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods. J. Non-Newtonian Fluid Mech. (2007) 142, 183-198.
    • (2007) J. Non-Newtonian Fluid Mech , vol.142 , pp. 183-198
    • Wachs, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.