메뉴 건너뛰기




Volumn 25, Issue 5, 1999, Pages 755-794

A distributed Lagrange multiplier/fictitious domain method for particulate flows

Author keywords

Combined equation of motion; Distributed Lagrange multiplier; Fictitious domain method; Finite element; Operator splitting; Particulate flow; Solid liquid flow

Indexed keywords

ALGORITHMS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; EQUATIONS OF MOTION; HYDRODYNAMICS; LAGRANGE MULTIPLIERS; REYNOLDS NUMBER; SEDIMENTATION; SUSPENSIONS (FLUIDS); THREE DIMENSIONAL; TWO DIMENSIONAL;

EID: 0032857504     PISSN: 03019322     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-9322(98)00048-2     Document Type: Article
Times cited : (1015)

References (45)
  • 1
    • 34250459417 scopus 로고
    • The finite element method with lagrange multipliers
    • Babuska I. The finite element method with lagrange multipliers. Numer. Math. 20:1973;179-192.
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuska, I.1
  • 2
    • 0031235249 scopus 로고    scopus 로고
    • A three-dimensional fictitious domain method for incompressible fluid flow problems
    • Bertrand F., Tanguy P.A., Thibault F. A three-dimensional fictitious domain method for incompressible fluid flow problems. Int. J. Num. Meth. Fluids. 25:1997;719-736.
    • (1997) Int. J. Num. Meth. Fluids , vol.25 , pp. 719-736
    • Bertrand, F.1    Tanguy, P.A.2    Thibault, F.3
  • 3
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers
    • Brezzi F. On the existence, uniqueness and approximation of saddle-point problems arising from Lagrange multipliers. RAIRO Anal. Numer. R2:1974;129-151.
    • (1974) RAIRO Anal. Numer. , vol.2 , pp. 129-151
    • Brezzi, F.1
  • 5
    • 0015202899 scopus 로고
    • The direst solution of the discrete Poisson equation on irregular regions
    • Buzbee B.L., Dorr F.W., George J.A., Golub G.H. The direst solution of the discrete Poisson equation on irregular regions. SIAM J. Num. Anal. 8:1971;722-736.
    • (1971) SIAM J. Num. Anal. , vol.8 , pp. 722-736
    • Buzbee, B.L.1    Dorr, F.W.2    George, J.A.3    Golub, G.H.4
  • 6
    • 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. Comp. Phys. 2:1967;12-26.
    • (1967) J. Comp. Phys. , vol.2 , pp. 12-26
    • Chorin, A.J.1
  • 7
    • 84968483581 scopus 로고
    • On the convergence and approximation of discrete approximation to the Navier-Stokes equations
    • Chorin A.J. On the convergence and approximation 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
  • 8
    • 0347786769 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
  • 9
    • 0031256329 scopus 로고    scopus 로고
    • A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow
    • Dean E., Glowinski R. A wave equation approach to the numerical solution of the Navier-Stokes equations for incompressible viscous flow. C. R. Acad. Sci. Paris T. 325 Série 1:1997;783-791.
    • (1997) C. R. Acad. Sci. Paris T , vol.3251 , pp. 783-791
    • Dean, E.1    Glowinski, R.2
  • 10
    • 0032307143 scopus 로고    scopus 로고
    • Direct numerical simulations of bubbly flows. Part 1: Low Reynolds number arrays
    • in press
    • Esmaeeli, A., Tryggvason, G. 1998. Direct numerical simulations of bubbly flows. Part 1: low Reynolds number arrays. J. Fluid Mech. in press.
    • (1998) J. Fluid Mech.
    • Esmaeeli, A.1    Tryggvason, G.2
  • 11
    • 0029203545 scopus 로고
    • A three-dimensional computation of the force and moment on an ellipsoid settling slowly through a viscoelastic fluid
    • Feng J., Joseph D.D., Glowinski R., Pan T-W. A three-dimensional computation of the force and moment on an ellipsoid settling slowly through a viscoelastic fluid. J. Fluid Mech. 283:1995;1-16.
    • (1995) J. Fluid Mech. , vol.283 , pp. 1-16
    • Feng, J.1    Joseph, D.D.2    Glowinski, R.3    Pan, T.-W.4
  • 12
    • 0030088264 scopus 로고    scopus 로고
    • Dynamic simulation of the sedimentation of solid particles in an Oldroyd B fluid
    • Feng J., Huang P.Y., Joseph D.D. Dynamic simulation of the sedimentation of solid particles in an Oldroyd B fluid. J. Non-Newt. Fluid mech. 63:1996;63-88.
    • (1996) J. Non-Newt. Fluid Mech. , vol.63 , pp. 63-88
    • Feng, J.1    Huang, P.Y.2    Joseph, D.D.3
  • 13
    • 0023141731 scopus 로고
    • Nonlinear mechanism of fluidization of beds of spherical particles
    • Fortes A., Joseph D.D., Lundgren T.S. Nonlinear mechanism 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.1    Joseph, D.D.2    Lundgren, T.S.3
  • 15
    • 0026801646 scopus 로고
    • Finite element methods for Navier-Stokes equations
    • Glowinski R., Pironneau O. Finite element methods for Navier-Stokes equations. Ann. Rev. Fluid Mech. 24:1992;167-204.
    • (1992) Ann. Rev. Fluid Mech. , vol.24 , pp. 167-204
    • Glowinski, R.1    Pironneau, O.2
  • 16
    • 0028333573 scopus 로고
    • A fictitious domain method for Dirichlet problems and applications
    • Glowinski R., Pan T-W., Périaux J. A fictitious domain method for Dirichlet problems and applications. Comp. Meth. Appl. Mech. Engng. 111:1994;283-303.
    • (1994) Comp. Meth. Appl. Mech. Engng. , vol.111 , pp. 283-303
    • Glowinski, R.1    Pan, T.-W.2    Périaux, J.3
  • 17
    • 0028035577 scopus 로고
    • A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
    • Glowinski R., Pan T-W., Périaux J. A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Comp. Meth. Appl. Mech. Engng. 112:1994;133-148.
    • (1994) Comp. Meth. Appl. Mech. Engng. , vol.112 , pp. 133-148
    • Glowinski, R.1    Pan, T.-W.2    Périaux, J.3
  • 18
    • 0006308695 scopus 로고
    • A Lagrange multiplier/fictitious domain method for the Dirichlet problem. Generalization to some flow problems
    • Glowinski R., Pan T-W., Périaux J. A Lagrange multiplier/fictitious domain method for the Dirichlet problem. Generalization to some flow problems. Japan J. Ind. Appl. Math. 12:1995;87-108.
    • (1995) Japan J. Ind. Appl. Math. , vol.12 , pp. 87-108
    • Glowinski, R.1    Pan, T.-W.2    Périaux, J.3
  • 19
    • 0001817973 scopus 로고    scopus 로고
    • Distributed Lagrange multiplier methods for particulate flows
    • In: M-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux, M.F. Wheeler (Ed.). Wiley, Chichester
    • Glowinski, R., Hesla, T., Joseph, D.D., Pan, T-W., Périaux, J., 1997a. Distributed Lagrange multiplier methods for particulate flows. In: M-O. Bristeau, G. Etgen, W. Fitzgibbon, J.L. Lions, J. Périaux, M.F. Wheeler (Ed.). Computational Science for the Twenty-First Century. Wiley, Chichester, pp. 270-279.
    • (1997) Computational Science for the Twenty-First Century , pp. 270-279
    • Glowinski, R.1    Hesla, T.2    Joseph, D.D.3    Pan, T.-W.4    Périaux, J.5
  • 20
    • 0000069703 scopus 로고    scopus 로고
    • Fictitious domain methods for incompressible viscous flow around moving rigid bodies
    • In: J.R. Whiteman (Ed.). Wiley, Chichester
    • Glowinski, R., Pan, T-W., Périaux, J., 1997b. Fictitious domain methods for incompressible viscous flow around moving rigid bodies. In: J.R. Whiteman (Ed.). The Mathematics of Finite Elements and Applications, Highlight 1996. Wiley, Chichester, pp. 155-174.
    • (1997) The Mathematics of Finite Elements and Applications, Highlight 1996 , pp. 155-174
    • Glowinski, R.1    Pan, T-W.2    Périaux, J.3
  • 21
    • 0031066765 scopus 로고    scopus 로고
    • A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies (I): The case where the rigid body motions are known a priori
    • Glowinski R., Pan T-W., Périaux J. A Lagrange multiplier/fictitious domain method for the numerical simulation of incompressible viscous flow around moving rigid bodies (I): the case where the rigid body motions are known a priori. C. R. Acad. Sci. Paris. 324:1997;361-369.
    • (1997) C. R. Acad. Sci. Paris , vol.324 , pp. 361-369
    • Glowinski, R.1    Pan, T.-W.2    Périaux, J.3
  • 22
    • 0031985381 scopus 로고    scopus 로고
    • Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies
    • Glowinski, R., Pan, T-W., Périaux, J. 1998. Distributed Lagrange multiplier methods for incompressible viscous flow around moving rigid bodies. Comp. Meth. Appl. Mech. Engng. 151, 181 - 194.
    • (1998) Comp. Meth. Appl. Mech. Engng. , vol.151 , pp. 181-194
    • Glowinski, R.1    Pan, T.-W.2    Périaux, J.3
  • 24
    • 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
  • 26
    • 0031177681 scopus 로고    scopus 로고
    • Direct simulation of the motion of solid particles in Couette and Poiseuille flows of viscoelastic fluids
    • Huang P.Y., Feng J., Hu H.H., Joseph D.D. Direct simulation of the motion of solid particles in Couette and Poiseuille flows of viscoelastic fluids. J. Fluid Mech. 343:1997;73-94.
    • (1997) J. Fluid Mech. , vol.343 , pp. 73-94
    • Huang, P.Y.1    Feng, J.2    Hu, H.H.3    Joseph, D.D.4
  • 27
    • 0344367815 scopus 로고
    • Non-iterative numerical solution of boundary-value problems
    • Hyman M.A. Non-iterative numerical solution of boundary-value problems. Appl. Sci. Res., Sec. B. 2:1952;325-351.
    • (1952) Appl. Sci. Res., Sec. B , vol.2 , pp. 325-351
    • Hyman, M.A.1
  • 29
    • 0003587269 scopus 로고    scopus 로고
    • Research report 97-010. Army High Performance Computing Research Center, University of Minnesota
    • Johnson, A., Tezduyar, T., 1997. Fluid-particle simulations reaching 100 particles, Research report 97-010. Army High Performance Computing Research Center, University of Minnesota.
    • (1997) Fluid-particle Simulations Reaching 100 Particles
    • Johnson, A.1    Tezduyar, T.2
  • 30
    • 0038589314 scopus 로고    scopus 로고
    • Flow induced microstructure in Newtonian and viscoelastic fluids
    • American Institute of Chemical Engineers, Keynote presentation (paper no. 95a, Second Particle Technology Forum). San Diego, California
    • Joseph, D.D., 1996. Flow induced microstructure in Newtonian and viscoelastic fluids. Proceedings of the Fifth World Congress of Chemical Engineering, Particle Technology Track, vol. 6. American Institute of Chemical Engineers, Keynote presentation (paper no. 95a, Second Particle Technology Forum). San Diego, California.
    • (1996) Proceedings of the Fifth World Congress of Chemical Engineering, Particle Technology Track , vol.6
    • Joseph, D.D.1
  • 31
    • 0001863605 scopus 로고
    • Nonlinear mechanics of fluidization of beds of spheres, cylinders and disks in water
    • In: G. Papanicolau (Ed.). SIAM
    • Joseph, D.D., Fortes, A., Lundgren, T.S., Singh, P., 1987. Nonlinear mechanics of fluidization of beds of spheres, cylinders and disks in water. In: G. Papanicolau (Ed.). Advances in Multiphase Flow and Related Problems. SIAM, pp. 101-122.
    • (1987) Advances in Multiphase Flow and Related Problems , pp. 101-122
    • Joseph, D.D.1    Fortes, A.2    Lundgren, T.S.3    Singh, P.4
  • 32
    • 0028485385 scopus 로고
    • The immersed interface method for elliptic equations with discontinuous coefficients and singular sources
    • LeVeque R.J., Li Z. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources. SIAM J. Num. Anal. 31:1994;1019-1044.
    • (1994) SIAM J. Num. Anal. , vol.31 , pp. 1019-1044
    • Leveque, R.J.1    Li, Z.2
  • 33
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for Stokes flow with elastic boundaries or surface tension
    • LeVeque R.J., Li Z. Immersed interface methods for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Stat. Comp. 18:1997;709-735.
    • (1997) SIAM J. Sci. Stat. Comp. , vol.18 , pp. 709-735
    • Leveque, R.J.1    Li, Z.2
  • 34
    • 84966238639 scopus 로고
    • Numerical methods based on additive splitting for hyperbolic partial differential equations
    • LeVeque R.J., Oliger J. Numerical methods based on additive splitting for hyperbolic partial differential equations. Math. Comp. 40:1983;469-497.
    • (1983) Math. Comp. , vol.40 , pp. 469-497
    • Leveque, R.J.1    Oliger, J.2
  • 35
    • 70350504025 scopus 로고
    • Splitting and alternate direction methods
    • In: P.G. Ciarlet, J.L. Lions (Ed.). North-Holland, Amsterdam
    • Marchuk, G.I., 1990. Splitting and alternate direction methods. In: P.G. Ciarlet, J.L. Lions (Ed.). Handbook of Numerical Analysis, vol. 1. North-Holland, Amsterdam, pp. 197-462.
    • (1990) Handbook of Numerical Analysis , vol.1 , pp. 197-462
    • Marchuk, G.I.1
  • 36
    • 0031280934 scopus 로고    scopus 로고
    • A many-body lubrication model
    • Série 1
    • Maury, B. 1997. A many-body lubrication model. C. R. Acad. Sci. Paris. T. 325, Série 1, 1053 - 1058.
    • (1997) C. R. Acad. Sci. Paris. T. , vol.325 , pp. 1053-1058
    • Maury, B.1
  • 38
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • Peskin C.S. Numerical analysis of blood flow in the heart. J. Comp. Phys. 25:1977;220-252.
    • (1977) J. Comp. Phys. , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 39
    • 0002818291 scopus 로고
    • Lectures on mathematical aspects of physiology
    • In: F.C. Hoppensteadt (Ed.). American Mathematical Society, Providence, Rhode Island
    • Peskin, C.S., 1981. Lectures on mathematical aspects of physiology. In: F.C. Hoppensteadt (Ed.). Lectures in Applied Mathematics, vol. 19. American Mathematical Society, Providence, Rhode Island, pp. 69-107.
    • (1981) Lectures in Applied Mathematics , vol.19 , pp. 69-107
    • Peskin, C.S.1
  • 40
    • 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. Comp. Phys. 37:1980;113-132.
    • (1980) J. Comp. Phys. , vol.37 , pp. 113-132
    • Peskin, C.S.1    McQueen, D.M.2
  • 42
    • 0012532648 scopus 로고
    • On solving boundary-value problems on high-performance computers by fictitious-domain methods
    • Saul'ev V.K. On solving boundary-value problems on high-performance computers by fictitious-domain methods. Sib. Math. J. 4:1963;912-925.
    • (1963) Sib. Math. J. , vol.4 , pp. 912-925
    • Saul'ev, V.K.1
  • 43
    • 0030131301 scopus 로고    scopus 로고
    • A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: From fully implicit non-linear schemes to semi-implicit projection methods
    • Turek S. A comparative study of time-stepping techniques for the incompressible Navier-Stokes equations: from fully implicit non-linear schemes to semi-implicit projection methods. Int. J. Num. Meth. Fluids. 22:1996;987-1011.
    • (1996) Int. J. Num. Meth. Fluids , vol.22 , pp. 987-1011
    • Turek, S.1
  • 44
    • 44049123695 scopus 로고
    • Computations of multi-fluid flows
    • Unverdi S.O., Tryggvason G. Computations of multi-fluid flows. Physica D. 60:1992;70-83.
    • (1992) Physica D , vol.60 , pp. 70-83
    • Unverdi, S.O.1    Tryggvason, G.2
  • 45
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi S.O., Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comp. Phys. 100:1992;25-37.
    • (1992) J. Comp. Phys. , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.