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Volumn 169, Issue 2, 2001, Pages 363-426

A Fictitious Domain Approach to the Direct Numerical Simulation of Incompressible Viscous Flow past Moving Rigid Bodies: Application to Particulate Flow

Author keywords

Distributed Lagrange multipliers; Fictitious domain methods; Finite element methods; Fluidization; Liquid solid mixtures; Navier Stokes equations; Particulate flow; Rayleigh Taylor instabilities; Sedimentation; Store separation

Indexed keywords

FINITE ELEMENT METHOD; FLUIDIZATION; INCOMPRESSIBLE FLOW; LAGRANGE MULTIPLIERS; NAVIER STOKES EQUATIONS; NON NEWTONIAN FLOW; NUMERICAL MODELS; RIGID STRUCTURES; VISCOUS FLOW;

EID: 0001105507     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6542     Document Type: Article
Times cited : (939)

References (55)
  • 1
    • 85190107133 scopus 로고    scopus 로고
    • Direct numerical simulations of fluid-solid systems using Arbitrary-Lagrangian-Eulerian technique
    • this issue
    • H. H. Hu, N. A. Patankar, and, M. Y. Zhu, Direct numerical simulations of fluid-solid systems using Arbitrary-Lagrangian-Eulerian technique, J. Comput. Phys, this issue.
    • J. Comput. Phys
    • Hu, H.H.1    Patankar, N.A.2    Zhu, M.Y.3
  • 2
    • 0001817973 scopus 로고    scopus 로고
    • Distributed Lagrange multiplier methods for particulate flows
    • edited by M. O. Bristeau, G. J. Etgen, W. Fitzgibbon, J. L. Lions, J. Périaux, and M. F. WheelerWiley, Chichester
    • R. Glowinski, T. I. Hesla, D. D. Joseph, T. W. Pan, and J. Periaux, Distributed Lagrange multiplier methods for particulate flows, in Computational Science for the 21st Century, edited by M. O. Bristeau, G. J. Etgen, W. Fitzgibbon, J. L. Lions, J. Périaux, and M. F. WheelerWiley, Chichester, 1997, pp. 270-279.
    • (1997) In Computational Science for the 21st Century , pp. 270-279
    • Glowinski, R.1    Hesla, T.I.2    Joseph, D.D.3    Pan, T.W.4    Periaux, J.5
  • 3
    • 0001352392 scopus 로고    scopus 로고
    • A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow
    • edited by J. Mandel, C. Farhat, and X. C. CaiAMS, Providence, RI
    • R. Glowinski, T. W. Pan, T. I. Hesla, D. D. Joseph, and J. Periaux, A fictitious domain method with distributed Lagrange multipliers for the numerical simulation of particulate flow, in Domain Decomposition Methods 10, edited by J. Mandel, C. Farhat, and X. C. CaiAMS, Providence, RI, 1998, pp. 121-137.
    • (1998) In Domain Decomposition Methods , vol.10 , pp. 121-137
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Periaux, J.5
  • 5
    • 0032857504 scopus 로고    scopus 로고
    • A distributed Lagrange multiplier/fictitious domain method for particulate flow
    • Glowinski R., Pan T. W., Hesla T. I., Joseph D. D. A distributed Lagrange multiplier/fictitious domain method for particulate flow. Int. J. Multiphase Flow. 25:1999;755-794.
    • (1999) Int. J. Multiphase Flow , vol.25 , pp. 755-794
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4
  • 6
    • 0033177878 scopus 로고    scopus 로고
    • A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow
    • Glowinski R., Pan T. W., Hesla T. I., Joseph D. D., Periaux J. A distributed Lagrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow. Int. J. Numer. Meth. Fluids. 30:1999;1043-1066.
    • (1999) Int. J. Numer. Meth. Fluids , vol.30 , pp. 1043-1066
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Periaux, J.5
  • 7
    • 0034646896 scopus 로고    scopus 로고
    • A distributed Lagrange multiplier/fictitious domain method for the simulation of flows around moving rigid bodies: Application to particulate flow
    • Glowinski R., Pan T. W., Hesla T. I., Joseph D. D., Periaux J. A distributed Lagrange multiplier/fictitious domain method for the simulation of flows around moving rigid bodies: Application to particulate flow. Comp. Meth. Appl. Mech. Eng. 184:2000;241-267.
    • (2000) Comp. Meth. Appl. Mech. Eng. , vol.184 , pp. 241-267
    • Glowinski, R.1    Pan, T.W.2    Hesla, T.I.3    Joseph, D.D.4    Periaux, J.5
  • 9
    • 0033407740 scopus 로고    scopus 로고
    • On weak solution for fluid-rigid structure interaction: Compressible and incompressible models
    • Desjardins B., Esteban M. J. On weak solution for fluid-rigid structure interaction: Compressible and incompressible models. Arch. Rational Mech. Anal. 146:1999;59-71.
    • (1999) Arch. Rational Mech. Anal. , vol.146 , pp. 59-71
    • Desjardins, B.1    Esteban, M.J.2
  • 10
    • 0030111555 scopus 로고    scopus 로고
    • Direct simulation of flows of solid-liquid mixtures
    • Hu H. H. Direct simulation of flows of solid-liquid mixtures. Int. J. Multiphase Flow. 22:1996;335-352.
    • (1996) Int. J. Multiphase Flow , vol.22 , pp. 335-352
    • Hu, H.H.1
  • 11
    • 0031171755 scopus 로고    scopus 로고
    • 3-D simulation of fluid-particle interactions with the number of particles reaching 100
    • Johnson A., Tezduyar T. 3-D simulation of fluid-particle interactions with the number of particles reaching 100. Comp. Meth. Appl. Mech. Eng. 145:1997;301-321.
    • (1997) Comp. Meth. Appl. Mech. Eng. , vol.145 , pp. 301-321
    • Johnson, A.1    Tezduyar, T.2
  • 12
    • 0031138601 scopus 로고    scopus 로고
    • Fluid-particle flow: A symmetric formulation
    • Maury B., Glowinski R. Fluid-particle flow: A symmetric formulation. C. R. Acad. Sci. Paris. 324:1997;1079-1084.
    • (1997) C. R. Acad. Sci. Paris , vol.324 , pp. 1079-1084
    • Maury, B.1    Glowinski, R.2
  • 13
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin C. S. Numerical analysis of blood flow in the heart. J. Comput. Phys. 25:1977;220-252.
    • (1977) J. Comput. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 14
    • 85025757493 scopus 로고
    • Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
    • Peskin C. S., McQueen D. M. Modeling prosthetic heart valves for numerical analysis of blood flow in the heart. J. Comput. Phys. 37:1980;113-132.
    • (1980) J. Comput. Phys. , vol.37 , pp. 113-132
    • Peskin, C.S.1    McQueen, D.M.2
  • 15
    • 0002818291 scopus 로고
    • Lectures on mathematical aspects of physiology
    • Peskin C. S. Lectures on mathematical aspects of physiology. Lect. Appl. Math. 19:1981;69-107.
    • (1981) Lect. Appl. Math. , vol.19 , pp. 69-107
    • Peskin, C.S.1
  • 16
    • 0002869426 scopus 로고
    • A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles
    • Fogelson A. L., Peskin C. S. A fast numerical method for solving the three-dimensional Stokes equations in the presence of suspended particles. J. Comput. Phys. 79:1988;50-69.
    • (1988) J. Comput. Phys. , vol.79 , pp. 50-69
    • Fogelson, A.L.1    Peskin, C.S.2
  • 18
    • 0034045490 scopus 로고    scopus 로고
    • A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows
    • Patankar N. A., Singh P., Joseph D. D., Glowinski R., Pan T. W. A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. Int. J. Multiphase Flow. 26:2000;1509-1524.
    • (2000) Int. J. Multiphase Flow , vol.26 , pp. 1509-1524
    • Patankar, N.A.1    Singh, P.2    Joseph, D.D.3    Glowinski, R.4    Pan, T.W.5
  • 19
    • 0043078226 scopus 로고    scopus 로고
    • Algorithms for the mortar element method
    • edited by R. Glowinski, J. Periaux, Z.-C. Shi, and O. WidlundWiley, Chichester
    • Y. Achdou and Y. Kuznetsov, Algorithms for the mortar element method, in Domain Decomposition Methods in Sciences and Engineering, edited by R. Glowinski, J. Periaux, Z.-C. Shi, and O. WidlundWiley, Chichester, 1997, pp. 33-42.
    • (1997) In Domain Decomposition Methods in Sciences and Engineering , pp. 33-42
    • Achdou, Y.1    Kuznetsov, Y.2
  • 22
    • 0031235249 scopus 로고    scopus 로고
    • A three-dimensional fictitious domain method for incompressible fluid flow problem
    • Bertrand F., Tanguy P. A., Thibault F. A three-dimensional fictitious domain method for incompressible fluid flow problem. Int. J. Numer. Meth. Fluids. 25:1997;719-736.
    • (1997) Int. J. Numer. Meth. Fluids , vol.25 , pp. 719-736
    • Bertrand, F.1    Tanguy, P.A.2    Thibault, F.3
  • 24
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • edited by P. G. Ciarlet and J. L. LionsNorth-Holland, Amsterdam
    • J. E. Roberts and J. M. Thomas, Mixed and hybrid methods, in Handbook of Numerical Analysis, Vol. II, edited by P. G. Ciarlet and J. L. LionsNorth-Holland, Amsterdam, 1991 pp. 523-639.
    • (1991) In Handbook of Numerical Analysis , vol.2 , pp. 523-639
    • Roberts, J.E.1    Thomas, J.M.2
  • 25
    • 0012691831 scopus 로고    scopus 로고
    • A fictitious-domain method with Lagrange multipliers for the Stokes problem
    • edited by A. Sequeira, H. B. de Veiga, and J. H. VidemanKluwer Academic/Plenum, New York
    • V. Girault, R. Glowinski, and T. W. Pan, A fictitious-domain method with Lagrange multipliers for the Stokes problem, in Applied Nonlinear Analysis, edited by A. Sequeira, H. B. de Veiga, and J. H. VidemanKluwer Academic/Plenum, New York, 1999, pp. 159-174.
    • (1999) In Applied Nonlinear Analysis , pp. 159-174
    • Girault, V.1    Glowinski, R.2    Pan, T.W.3
  • 26
    • 40449093496 scopus 로고
    • A numerical method for solving incompressible viscous flow problems
    • Chorin A. J. A numerical method for solving incompressible viscous flow problems. J. Comput. Phys. 2:1967;12-26.
    • (1967) J. Comput. Phys. , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 27
    • 84968483581 scopus 로고
    • On the convergence of discrete approximation to the Navier-Stokes equations
    • Chorin A. J. On the convergence of discrete approximation to the Navier-Stokes equations. Math. Comp. 23:1968;341-353.
    • (1968) Math. Comp. , vol.23 , pp. 341-353
    • Chorin, A.J.1
  • 28
    • 0015915853 scopus 로고
    • Numerical study of slightly viscous flow
    • Chorin A. J. Numerical study of slightly viscous flow. J. Fluid Mech. 57:1973;785-796.
    • (1973) J. Fluid Mech. , vol.57 , pp. 785-796
    • Chorin, A.J.1
  • 29
    • 0026801646 scopus 로고
    • Finite element methods for Navier-Stokes equations
    • Glowinski R., Pironneau O. Finite element methods for Navier-Stokes equations. Annu. Rev. Fluid Mechan. 24:1992;167-204.
    • (1992) Annu. Rev. Fluid Mechan. , vol.24 , pp. 167-204
    • Glowinski, R.1    Pironneau, O.2
  • 31
    • 70350504025 scopus 로고
    • Splitting and alternating direction methods
    • edited by P. G. Ciarlet and J. L. LionsNorth-Holland, Amsterdam
    • G. I. Marchuk, Splitting and alternating direction methods, in Handbook of Numerical Analysis, Vol. I, edited by P. G. Ciarlet and J. L. LionsNorth-Holland, Amsterdam, 1990, pp. 197-462.
    • (1990) In Handbook of Numerical Analysis , vol.1 , pp. 197-462
    • Marchuk, G.I.1
  • 32
    • 0000931595 scopus 로고
    • Rates of convergence for viscous splitting of the Navier-Stokes equations
    • Beale J. T., Majda A. Rates of convergence for viscous splitting of the Navier-Stokes equations. Math. Comp. 37:1981;243-260.
    • (1981) Math. Comp. , vol.37 , pp. 243-260
    • Beale, J.T.1    Majda, A.2
  • 33
    • 0031256329 scopus 로고    scopus 로고
    • A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow
    • Dean E. J., Glowinski R. A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. C. R. Acad. Sci. Paris. 325:1997;789-791.
    • (1997) C. R. Acad. Sci. Paris , vol.325 , pp. 789-791
    • Dean, E.J.1    Glowinski, R.2
  • 34
    • 0002902041 scopus 로고    scopus 로고
    • A wave equation approach to the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations
    • edited by J. A. De SantoSIAM, Philadelphia
    • E. J. Dean, R. Glowinski, and T. W. Pan, A wave equation approach to the numerical simulation of incompressible viscous fluid flow modeled by the Navier-Stokes equations, in Mathematical and Numerical Aspects of Wave Propagation, edited by J. A. De SantoSIAM, Philadelphia, 1998, pp. 65-74.
    • (1998) In Mathematical and Numerical Aspects of Wave Propagation , pp. 65-74
    • Dean, E.J.1    Glowinski, R.2    Pan, T.W.3
  • 43
    • 0000540702 scopus 로고
    • Finite element methods for the numerical simulation of incompressible viscous flow. Introduction to the control of the Navier-Stokes equations
    • edited by C. R. Anderson and C. GreengardAm. Math. Soc. Providence, RI
    • R. Glowinski, Finite element methods for the numerical simulation of incompressible viscous flow. Introduction to the control of the Navier-Stokes equations, in Vortex Dynamics and Vortex Methods, edited by C. R. Anderson and C. GreengardAm. Math. Soc. Providence, RI, 1991, pp. 219-301.
    • (1991) In Vortex Dynamics and Vortex Methods , pp. 219-301
    • Glowinski, R.1
  • 44
    • 0033198451 scopus 로고    scopus 로고
    • Numerical simulation of the motion of a ball falling in an incompressible viscous fluid
    • Pan T. W. Numerical simulation of the motion of a ball falling in an incompressible viscous fluid. C. R. Acad. Sci. Paris. 327:1999;1035-1038.
    • (1999) C. R. Acad. Sci. Paris , vol.327 , pp. 1035-1038
    • Pan, T.W.1
  • 46
    • 0005677206 scopus 로고    scopus 로고
    • A fictitious domain method with Lagrange multipliers for the numerical solution of particular flow and its parallel implementation
    • edited by C. A. Lin, A. Ecer, N. Satofuka, P. Fox, and J. PeriauxNorth-Holland, Amsterdam
    • T. W. Pan, V. Sarin, R. Glowinski, A. Sameh, and J. Periaux, A fictitious domain method with Lagrange multipliers for the numerical solution of particular flow and its parallel implementation, in Parallel Computational Fluid Dynamics: Development and Applications of Parallel Technology, edited by C. A. Lin, A. Ecer, N. Satofuka, P. Fox, and J. PeriauxNorth-Holland, Amsterdam, 1999, pp. 467-474.
    • (1999) In Parallel Computational Fluid Dynamics: Development and Applications of Parallel Technology , pp. 467-474
    • Pan, T.W.1    Sarin, V.2    Glowinski, R.3    Sameh, A.4    Periaux, J.5
  • 47
    • 0033178107 scopus 로고    scopus 로고
    • A numerical continuous model for the hydrodynamics of fluid particle systems
    • Ritz J. B., Caltagirone J. P. A numerical continuous model for the hydrodynamics of fluid particle systems. Int. J. Numer. Meth. Fluids. 30:1999;1067-1090.
    • (1999) Int. J. Numer. Meth. Fluids , vol.30 , pp. 1067-1090
    • Ritz, J.B.1    Caltagirone, J.P.2
  • 48
    • 0028160288 scopus 로고
    • Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. 1. Sedimentation
    • Feng J., Hu H. H., Joseph D. D. Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. 1. Sedimentation. J. Fluid Mech. 261:1994;95-134.
    • (1994) J. Fluid Mech. , vol.261 , pp. 95-134
    • Feng, J.1    Hu, H.H.2    Joseph, D.D.3
  • 49
    • 0023141731 scopus 로고
    • Nonlinear mechanics of fluidization of beds of spherical particles
    • Fortes A. F., Joseph D. D., Lundgren T. S. Nonlinear mechanics of fluidization of beds of spherical particles. J. Fluid Mech. 177:1987;467-483.
    • (1987) J. Fluid Mech. , vol.177 , pp. 467-483
    • Fortes, A.F.1    Joseph, D.D.2    Lundgren, T.S.3
  • 52
    • 0001903204 scopus 로고
    • Orientation of long bodies falling in a viscoelastic liquid
    • Joseph D. D., Liu Y. J. Orientation of long bodies falling in a viscoelastic liquid. J. Rheology. 37:1993;961-983.
    • (1993) J. Rheology , vol.37 , pp. 961-983
    • Joseph, D.D.1    Liu, Y.J.2
  • 53
    • 0004660858 scopus 로고    scopus 로고
    • Experiments and direct simulation of fluid particle motions
    • Hu H. H., Joseph D. D., Fortes A. F. Experiments and direct simulation of fluid particle motions. Int. Vid. J. Eng. Res. 2:1997;17.
    • (1997) Int. Vid. J. Eng. Res. , vol.2 , pp. 17
    • Hu, H.H.1    Joseph, D.D.2    Fortes, A.F.3


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