메뉴 건너뛰기




Volumn 200, Issue 29-32, 2011, Pages 2434-2446

A mixed formulation of the Bingham fluid flow problem: Analysis and numerical solution

Author keywords

Augmented formulation; Bingham fluid; Mixed formulation; Non Newtonian flow; Regularization

Indexed keywords

AUGMENTED FORMULATION; BINGHAM FLUID; ENTIRE DOMAIN; FLUID REGIONS; MIXED FORMULATION; MIXED FORMULATIONS; NUMERICAL PROPERTIES; NUMERICAL RESULTS; NUMERICAL SOLUTION; NUMERICAL SOLVERS; PERFORMANCE DEGRADATION; PRIMITIVE VARIABLES; REGULARIZATION; WELLPOSEDNESS;

EID: 79955899952     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2011.04.004     Document Type: Article
Times cited : (31)

References (29)
  • 1
    • 33847170486 scopus 로고    scopus 로고
    • Nonhomogeneous incompressible Bingham viscoplastic as a limit of nonlinear fluids
    • Basov I.V., Shelukhin V.V. Nonhomogeneous incompressible Bingham viscoplastic as a limit of nonlinear fluids. J. Non-Newton. Fluid Mech. 2007, 142:95-103.
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 95-103
    • Basov, I.V.1    Shelukhin, V.V.2
  • 2
    • 84946621762 scopus 로고
    • A finite element method for incompressible non-Newtonian flows
    • Bercovier M., Engelman M. A finite element method 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
  • 3
    • 77950460555 scopus 로고    scopus 로고
    • Existence of Strong Solutions for incompressible fluids with shear dependent viscosities
    • Berselli L.C., Diening L., Ruzicka M. Existence of Strong Solutions for incompressible fluids with shear dependent viscosities. J. Math. Fluid Mech. 2010, 12(1):101-132.
    • (2010) J. Math. Fluid Mech. , vol.12 , Issue.1 , pp. 101-132
    • Berselli, L.C.1    Diening, L.2    Ruzicka, M.3
  • 4
    • 0020648263 scopus 로고
    • The Rheology and Flow of Viscoplastic Materials
    • Byron-Bird R., Dai G.C., Yarusso B.J. The Rheology and Flow of Viscoplastic Materials. Rev. Chem. Eng. 1983, 1(1):2-70.
    • (1983) Rev. Chem. Eng. , vol.1 , Issue.1 , pp. 2-70
    • Byron-Bird, R.1    Dai, G.C.2    Yarusso, B.J.3
  • 5
    • 0442331134 scopus 로고
    • Méthodes numériques pour lécoulement laminaire dún fluide rigide visco-plastique incompressible
    • Cea J., Glowinski R. Méthodes numériques pour lécoulement laminaire dún fluide rigide visco-plastique incompressible. Int. J. Comput. Math. Sec. B 1972, 3:225-255.
    • (1972) Int. J. Comput. Math. Sec. B , vol.3 , pp. 225-255
    • Cea, J.1    Glowinski, R.2
  • 6
    • 0033295350 scopus 로고    scopus 로고
    • A nonlinear primal-dual method for total variation-based image restoration
    • Chan T., Golub G., Mulet P. A nonlinear primal-dual method for total variation-based image restoration. SIAM J. Sci. Comput. 1999, 20(6):1964-1977.
    • (1999) SIAM J. Sci. Comput. , vol.20 , Issue.6 , pp. 1964-1977
    • Chan, T.1    Golub, G.2    Mulet, P.3
  • 7
    • 0035994806 scopus 로고    scopus 로고
    • Operator-splitting methods for the simulation of Bingham visco-plastic flow
    • Dean E.J., Glowinski R. Operator-splitting methods for the simulation of Bingham visco-plastic flow. Chin. Ann. Math. 2002, 23:187-204.
    • (2002) Chin. Ann. Math. , vol.23 , pp. 187-204
    • Dean, E.J.1    Glowinski, R.2
  • 8
    • 33847134718 scopus 로고    scopus 로고
    • On the numerical simulation of Bingham visco-plastic flow: old and new results
    • Dean E.J., Glowinski R., Guidoboni G. On the numerical simulation of Bingham visco-plastic flow: old and new results. J. Non-Newton. Fluid Mech. 2007, 142:36-62.
    • (2007) J. Non-Newton. Fluid Mech. , vol.142 , pp. 36-62
    • Dean, E.J.1    Glowinski, R.2    Guidoboni, G.3
  • 12
    • 18444374176 scopus 로고    scopus 로고
    • On the usage of viscosity regularization methods for viscoplastic fluid flow computation
    • Frigaard I.A., Nouar C. On the usage of viscosity regularization methods for viscoplastic fluid flow computation. J. Non-Newton. Fluid Mech. 2005, 127:1-26.
    • (2005) J. Non-Newton. Fluid Mech. , vol.127 , pp. 1-26
    • Frigaard, I.A.1    Nouar, C.2
  • 13
    • 1642544678 scopus 로고    scopus 로고
    • On effective stopping time selection for visco-plastic nonlinear BV diffusion filters used in image denoising
    • Frigaard I.A., Ngwa G., Scherzer O. On effective stopping time selection for visco-plastic nonlinear BV diffusion filters used in image denoising. SIAM J. Appl. Math. 2003, 63(6):1911-1934.
    • (2003) SIAM J. Appl. Math. , vol.63 , Issue.6 , pp. 1911-1934
    • Frigaard, I.A.1    Ngwa, G.2    Scherzer, O.3
  • 14
    • 33745656831 scopus 로고    scopus 로고
    • Herschel-Bulkley diffusion filtering: non-Newtonian fluid mechanics in image processing
    • Frigaard I.A., Scherzer O. Herschel-Bulkley diffusion filtering: non-Newtonian fluid mechanics in image processing. Z. Angew. Math. Mech. 2006, 86(6):474-494.
    • (2006) Z. Angew. Math. Mech. , vol.86 , Issue.6 , pp. 474-494
    • Frigaard, I.A.1    Scherzer, O.2
  • 15
    • 0003208901 scopus 로고
    • Finite element methods for Navier-Stokes equations: theory and algorithms
    • Springer, Verlag
    • Girault V., Raviart P.A. Finite element methods for Navier-Stokes equations: theory and algorithms. Springer Series in Computational Mathematics 1986, vol. 5. Springer, Verlag.
    • (1986) Springer Series in Computational Mathematics , vol.5
    • Girault, V.1    Raviart, P.A.2
  • 17
    • 77955424554 scopus 로고    scopus 로고
    • An iterative method for the stokes-type problem with variable viscosity
    • Grinevich P.P., Olshanski M.A. An iterative method for the stokes-type problem with variable viscosity. SIAM J. Sci. Comput. 2009, 31(5):3959-3978.
    • (2009) SIAM J. Sci. Comput. , vol.31 , Issue.5 , pp. 3959-3978
    • Grinevich, P.P.1    Olshanski, M.A.2
  • 18
    • 62849086762 scopus 로고    scopus 로고
    • A Computational Comparison of two FEM Solvers For Nonlinear Incompressible Flow
    • Springer
    • Hron J., Ouazzi A., Turek S. A Computational Comparison of two FEM Solvers For Nonlinear Incompressible Flow. Challenges in Scientific Computing 2004, Springer.
    • (2004) Challenges in Scientific Computing
    • Hron, J.1    Ouazzi, A.2    Turek, S.3
  • 19
    • 57849166438 scopus 로고    scopus 로고
    • Two finite-difference schemes for the calculation of Bingham fluid flows in a cavity
    • Muravleva E.A., Olshanskii M.A. Two finite-difference schemes for the calculation of Bingham fluid flows in a cavity. Russ. J. Numer. Anal. Math. Model. 2008, 23(6):615-634.
    • (2008) Russ. J. Numer. Anal. Math. Model. , vol.23 , Issue.6 , pp. 615-634
    • Muravleva, E.A.1    Olshanskii, M.A.2
  • 20
    • 0035514986 scopus 로고    scopus 로고
    • Flow of Bingham plastics in a lid-driven cavity
    • Mitsoulis E., Zisis Th. Flow of Bingham plastics in a lid-driven cavity. J. Non-Newton. Fluid Mech. 2001, 101:173-180.
    • (2001) J. Non-Newton. Fluid Mech. , vol.101 , pp. 173-180
    • Mitsoulis, E.1    Zisis, T.2
  • 21
    • 58349113744 scopus 로고    scopus 로고
    • Analysis of semi-staggered finite-difference method with application to Bingham flows
    • Olshanskii M.A. Analysis of semi-staggered finite-difference method with application to Bingham flows. Comput. Methods Appl. Mech. Eng. 2009, 198:975-985.
    • (2009) Comput. Methods Appl. Mech. Eng. , vol.198 , pp. 975-985
    • Olshanskii, M.A.1
  • 22
    • 0034336670 scopus 로고    scopus 로고
    • Numerical simulation of Bingham fluid flow using prox-regularization
    • Schmitt H. Numerical simulation of Bingham fluid flow using prox-regularization. J. Optim. Theory Appl. 2000, 106(3):603-626.
    • (2000) J. Optim. Theory Appl. , vol.106 , Issue.3 , pp. 603-626
    • Schmitt, H.1
  • 23
    • 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
  • 24
    • 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. Eng. 2003, 192(31-32):3317-3341.
    • (2003) Comput. Methods Appl. Mech. Eng. , vol.192 , Issue.31-32 , pp. 3317-3341
    • Roquet, N.1    Saramito, P.2
  • 26
    • 35348837291 scopus 로고    scopus 로고
    • A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements
    • Sahin M., Wilson H.J. A semi-staggered dilation-free finite volume method for the numerical solution of viscoelastic fluid flows on all-hexahedral elements. J. Non-Newton. Fluid Mech. 2007, 147:79-91.
    • (2007) J. Non-Newton. Fluid Mech. , vol.147 , pp. 79-91
    • Sahin, M.1    Wilson, H.J.2
  • 28
    • 33744792934 scopus 로고    scopus 로고
    • Numerical simulation of weakly compressible Bingham flows the restart of pipeline flows of waxy crude oils
    • Vinay G., Wachs A., Agassant J.F. Numerical simulation of weakly compressible Bingham flows the restart of pipeline flows of waxy crude oils. J. Non-Newton. Fluid Mech. 2006, 136(2-3):93-105.
    • (2006) J. Non-Newton. Fluid Mech. , vol.136 , Issue.2-3 , pp. 93-105
    • Vinay, G.1    Wachs, A.2    Agassant, J.F.3
  • 29
    • 34247170830 scopus 로고    scopus 로고
    • Start-up transients and efficient computation of isothermal waxy crude oil flows
    • Vinay G., Wachs A., Frigaard I. Start-up transients and efficient computation of isothermal waxy crude oil flows. J. Non-Newton. Fluid Mech. 2007, 143(2-3):141-156.
    • (2007) J. Non-Newton. Fluid Mech. , vol.143 , Issue.2-3 , pp. 141-156
    • Vinay, G.1    Wachs, A.2    Frigaard, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.