메뉴 건너뛰기




Volumn 39, Issue 3, 2010, Pages 499-511

A front-tracking lattice Boltzmann method to study flow-induced deformation of three-dimensional capsules

Author keywords

Finite element model; Fluid structure interaction; Front tracking method; Multi block lattice Boltzmann method; Three dimensional capsule deformation; Viscosity ratio

Indexed keywords

FINITE ELEMENT MODELS; FRONT TRACKING; FRONT-TRACKING METHOD; LATTICE BOLTZMANN METHOD; VISCOSITY RATIOS;

EID: 72149119708     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compfluid.2009.10.003     Document Type: Article
Times cited : (22)

References (46)
  • 1
    • 0019229131 scopus 로고
    • Motion of spherical microcapsule freely suspended in a linear shear flow
    • Barthès-Biesel D. Motion of spherical microcapsule freely suspended in a linear shear flow. J Fluid Mech 100 (1980) 831-853
    • (1980) J Fluid Mech , vol.100 , pp. 831-853
    • Barthès-Biesel, D.1
  • 2
    • 0019684859 scopus 로고
    • The time-dependent deformation of a capsule freely suspended in a linear shear flow
    • Barthès-Biesel D., and Rallison J.M. The time-dependent deformation of a capsule freely suspended in a linear shear flow. J Fluid Mech 113 (1981) 251-267
    • (1981) J Fluid Mech , vol.113 , pp. 251-267
    • Barthès-Biesel, D.1    Rallison, J.M.2
  • 3
    • 0020330956 scopus 로고
    • Motion of a tank-treading ellipsoid particle in a shear flow
    • Keller S.R., and Skalak R. Motion of a tank-treading ellipsoid particle in a shear flow. J Fluid Mech 120 (1982) 27-47
    • (1982) J Fluid Mech , vol.120 , pp. 27-47
    • Keller, S.R.1    Skalak, R.2
  • 4
    • 33847034764 scopus 로고    scopus 로고
    • Red blood cells and other nonspherical capsules in shear flow: oscillation dynamics and the tank-treading-to-tumbling transition
    • Skotheim J.M., and Secomb T.W. Red blood cells and other nonspherical capsules in shear flow: oscillation dynamics and the tank-treading-to-tumbling transition. Phys Rev Lett 98 (2007) 078301
    • (2007) Phys Rev Lett , vol.98 , pp. 078301
    • Skotheim, J.M.1    Secomb, T.W.2
  • 5
    • 17144456156 scopus 로고
    • An arbitrary Lagrangian-Eulerian computing method for all flow speeds
    • Hirt C.W., Amsden A.A., and Cook J.L. An arbitrary Lagrangian-Eulerian computing method for all flow speeds. J Comput Phys 14 (1974) 227-253
    • (1974) J Comput Phys , vol.14 , pp. 227-253
    • Hirt, C.W.1    Amsden, A.A.2    Cook, J.L.3
  • 6
    • 0001737009 scopus 로고    scopus 로고
    • A numerical study of undulatory swimming
    • Liu H., and Kawachi K. A numerical study of undulatory swimming. J Comput Phys 155 (1999) 223-247
    • (1999) J Comput Phys , vol.155 , pp. 223-247
    • Liu, H.1    Kawachi, K.2
  • 7
    • 34548691849 scopus 로고    scopus 로고
    • An arbitrary Lagrangian-Eulerian method for simulating bubble growth in polymer foaming
    • Yue P., Feng J.J., Bertelo C.A., and Hu H.H. An arbitrary Lagrangian-Eulerian method for simulating bubble growth in polymer foaming. J Comput Phys 226 (2007) 2229-2249
    • (2007) J Comput Phys , vol.226 , pp. 2229-2249
    • Yue, P.1    Feng, J.J.2    Bertelo, C.A.3    Hu, H.H.4
  • 8
    • 85037221191 scopus 로고    scopus 로고
    • Tumbling of vesicles under shear flow within an advected-field approach
    • Biben T., and Misbah C. Tumbling of vesicles under shear flow within an advected-field approach. Phys Rev E 67 (2003) 031908
    • (2003) Phys Rev E , vol.67 , pp. 031908
    • Biben, T.1    Misbah, C.2
  • 9
    • 42749103850 scopus 로고    scopus 로고
    • Fluid vesicles with viscous membranes in shear flow
    • Noguchi H., and Gompper G. Fluid vesicles with viscous membranes in shear flow. Phys Rev Lett 93 (2004) 258102
    • (2004) Phys Rev Lett , vol.93 , pp. 258102
    • Noguchi, H.1    Gompper, G.2
  • 10
    • 0029347317 scopus 로고
    • Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow
    • Pozrikidis C. Finite deformation of liquid capsules enclosed by elastic membranes in simple shear flow. J Fluid Mech 297 (1995) 123-152
    • (1995) J Fluid Mech , vol.297 , pp. 123-152
    • Pozrikidis, C.1
  • 11
    • 0032049327 scopus 로고    scopus 로고
    • Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: Large deformations and the effect of capsule viscosity
    • Ramanujan S., and Pozrikidis C. Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: Large deformations and the effect of capsule viscosity. J Fluid Mech 361 (1998) 117-143
    • (1998) J Fluid Mech , vol.361 , pp. 117-143
    • Ramanujan, S.1    Pozrikidis, C.2
  • 12
    • 6344250622 scopus 로고    scopus 로고
    • Spherical capsules in three-dimensional unbounded Stokes flows: effect of the membrane constitutive law and onset of buckling
    • Lac E., Barthes-Biesel D., Pelekasis D.A., and Tsamopoulos J. Spherical capsules in three-dimensional unbounded Stokes flows: effect of the membrane constitutive law and onset of buckling. J Fluid Mech 516 (2004) 303-334
    • (2004) J Fluid Mech , vol.516 , pp. 303-334
    • Lac, E.1    Barthes-Biesel, D.2    Pelekasis, D.A.3    Tsamopoulos, J.4
  • 13
    • 23044459128 scopus 로고    scopus 로고
    • Deformation of a capsule in simple shear flow: effect of membrane prestress
    • Lac E., and Barthès-Biesel D. Deformation of a capsule in simple shear flow: effect of membrane prestress. Phys Fluids 17 (2005) 072105
    • (2005) Phys Fluids , vol.17 , pp. 072105
    • Lac, E.1    Barthès-Biesel, D.2
  • 14
    • 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
  • 15
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C.S. The immersed boundary method. Acta Numer 11 (2002) 479-517
    • (2002) Acta Numer , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 16
    • 0000266020 scopus 로고    scopus 로고
    • Large deformation of red blood cell ghosts in s simple shear flow
    • Eggleton C.D., and Popel A.S. Large deformation of red blood cell ghosts in s simple shear flow. Phys Fluids 10 (1998) 1834-1845
    • (1998) Phys Fluids , vol.10 , pp. 1834-1845
    • Eggleton, C.D.1    Popel, A.S.2
  • 17
    • 1542471855 scopus 로고    scopus 로고
    • Lattice Boltzmann method for fluid flows
    • Chen S., and Doolen G.D. Lattice Boltzmann method for fluid flows. Ann Rev Fluid Mech 30 (1998) 329-364
    • (1998) Ann Rev Fluid Mech , vol.30 , pp. 329-364
    • Chen, S.1    Doolen, G.D.2
  • 18
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability
    • Lallemand P., and Luo L.S. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Phys Rev E 61 (2000) 6546-6562
    • (2000) Phys Rev E , vol.61 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.S.2
  • 19
    • 0038359301 scopus 로고    scopus 로고
    • Viscous flow computations with the method of lattice Boltzmann equation
    • Yu D., Mei R., Luo L., and Shyy W. Viscous flow computations with the method of lattice Boltzmann equation. Prog Aerosp Sci 39 (2003) 329-367
    • (2003) Prog Aerosp Sci , vol.39 , pp. 329-367
    • Yu, D.1    Mei, R.2    Luo, L.3    Shyy, W.4
  • 20
    • 33646773229 scopus 로고    scopus 로고
    • LES of turbulent square jet flow using an MRT lattice Boltzmann model
    • Yu H., Luo L.S., and Girimaji S.S. LES of turbulent square jet flow using an MRT lattice Boltzmann model. Comput Fluids 35 (2006) 957-965
    • (2006) Comput Fluids , vol.35 , pp. 957-965
    • Yu, H.1    Luo, L.S.2    Girimaji, S.S.3
  • 21
    • 1842733457 scopus 로고    scopus 로고
    • The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems
    • Feng Z.G., and Michaelides E.E. The immersed boundary-lattice Boltzmann method for solving fluid-particles interaction problems. J Comput Phys 195 (2004) 602-628
    • (2004) J Comput Phys , vol.195 , pp. 602-628
    • Feng, Z.G.1    Michaelides, E.E.2
  • 22
    • 8744293043 scopus 로고    scopus 로고
    • Proteus: a direct forcing method in the simulations of particulate flows
    • Feng Z.G., and Michaelides E.E. Proteus: a direct forcing method in the simulations of particulate flows. J Comput Phys 202 (2005) 20-51
    • (2005) J Comput Phys , vol.202 , pp. 20-51
    • Feng, Z.G.1    Michaelides, E.E.2
  • 23
    • 51249090688 scopus 로고    scopus 로고
    • Insect normal hovering flight in ground effect
    • Gao T., and Lu X.Y. Insect normal hovering flight in ground effect. Phys Fluids 20 (2008) 087101
    • (2008) Phys Fluids , vol.20 , pp. 087101
    • Gao, T.1    Lu, X.Y.2
  • 24
    • 56349098815 scopus 로고    scopus 로고
    • A comparative study of immersed-boundary and interpolated bounce-back methods in LBE
    • Peng Y., and Luo L.S. A comparative study of immersed-boundary and interpolated bounce-back methods in LBE. Prog Comput Fluid Dyn 8 (2008) 156-167
    • (2008) Prog Comput Fluid Dyn , vol.8 , pp. 156-167
    • Peng, Y.1    Luo, L.S.2
  • 25
    • 33646764572 scopus 로고    scopus 로고
    • An evaluation of lattice Boltzmann schemes for porous medium flow simulation
    • Pan C., Luo L.S., and Miller C.T. An evaluation of lattice Boltzmann schemes for porous medium flow simulation. Comput Fluids 35 (2006) 898-909
    • (2006) Comput Fluids , vol.35 , pp. 898-909
    • Pan, C.1    Luo, L.S.2    Miller, C.T.3
  • 26
    • 0000292043 scopus 로고    scopus 로고
    • Grid refinement for lattice-BGK models
    • Filippova O., and Hänel D. Grid refinement for lattice-BGK models. J Comput Phys 147 (1998) 219-228
    • (1998) J Comput Phys , vol.147 , pp. 219-228
    • Filippova, O.1    Hänel, D.2
  • 27
    • 31944448615 scopus 로고    scopus 로고
    • Multi-block lattice Boltzmann method: extension to 3D and validation in turbulence
    • Yu D., and Girimaji S.S. Multi-block lattice Boltzmann method: extension to 3D and validation in turbulence. Physica A 362 (2006) 118-124
    • (2006) Physica A , vol.362 , pp. 118-124
    • Yu, D.1    Girimaji, S.S.2
  • 28
    • 33748897722 scopus 로고    scopus 로고
    • Application of multi-block approach in the immersed boundary-lattice Boltzmann method for viscous fluid flows
    • Peng Y., Shu C., Chew Y.T., Niu X.D., and Lu X.Y. Application of multi-block approach in the immersed boundary-lattice Boltzmann method for viscous fluid flows. J Comput Phys 218 (2006) 460-478
    • (2006) J Comput Phys , vol.218 , pp. 460-478
    • Peng, Y.1    Shu, C.2    Chew, Y.T.3    Niu, X.D.4    Lu, X.Y.5
  • 29
    • 34547239318 scopus 로고    scopus 로고
    • Transient deformation of elastic capsules in shear flow: effect of membrane bending stiffness
    • Sui Y., Chew Y.T., Roy P., Chen X.B., and Low H.T. Transient deformation of elastic capsules in shear flow: effect of membrane bending stiffness. Phys Rev E 75 (2007) 066301
    • (2007) Phys Rev E , vol.75 , pp. 066301
    • Sui, Y.1    Chew, Y.T.2    Roy, P.3    Chen, X.B.4    Low, H.T.5
  • 30
    • 52749097897 scopus 로고    scopus 로고
    • Inertia effect on the transient deformation of elastic capsules in simple shear flow
    • Sui Y., Chew Y.T., Roy P., and Low H.T. Inertia effect on the transient deformation of elastic capsules in simple shear flow. Comput Fluids 38 (2009) 49-59
    • (2009) Comput Fluids , vol.38 , pp. 49-59
    • Sui, Y.1    Chew, Y.T.2    Roy, P.3    Low, H.T.4
  • 31
    • 43049118557 scopus 로고    scopus 로고
    • A hybrid method to study flow-induced deformation of three-dimensional capsules
    • Sui Y., Chew Y.T., Roy P., and Low H.T. A hybrid method to study flow-induced deformation of three-dimensional capsules. J Comput Phys 227 (2008) 6351-6371
    • (2008) J Comput Phys , vol.227 , pp. 6351-6371
    • Sui, Y.1    Chew, Y.T.2    Roy, P.3    Low, H.T.4
  • 32
    • 38849181612 scopus 로고    scopus 로고
    • Tank-treading, swinging and tumbling of liquid-filled elastic capsules in shear flow
    • Sui Y., Low H.T., Chew Y.T., and Roy P. Tank-treading, swinging and tumbling of liquid-filled elastic capsules in shear flow. Phys Rev E 77 (2008) 016310
    • (2008) Phys Rev E , vol.77 , pp. 016310
    • Sui, Y.1    Low, H.T.2    Chew, Y.T.3    Roy, P.4
  • 33
    • 3242694679 scopus 로고
    • A front-tracking method for viscous, incompressible, multi-fluid flows
    • Unverdi S.O., and Tryggvason G. A front-tracking method for viscous, incompressible, multi-fluid flows. J Comput Phys 100 (1992) 25-37
    • (1992) J Comput Phys , vol.100 , pp. 25-37
    • Unverdi, S.O.1    Tryggvason, G.2
  • 34
    • 44049123695 scopus 로고
    • Computations of multi-fluid flows
    • Unverdi S.O., and 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
  • 36
    • 26844436096 scopus 로고    scopus 로고
    • Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flow
    • Lee J., and Pozrikidis C. Effect of surfactants on the deformation of drops and bubbles in Navier-Stokes flow. Comput Fluids 35 (2006) 43-60
    • (2006) Comput Fluids , vol.35 , pp. 43-60
    • Lee, J.1    Pozrikidis, C.2
  • 37
    • 30344471057 scopus 로고    scopus 로고
    • Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow
    • Bagchi P., Johnson P.C., and Popel A.S. Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow. J Biomech Eng 127 (2005) 1070-1080
    • (2005) J Biomech Eng , vol.127 , pp. 1070-1080
    • Bagchi, P.1    Johnson, P.C.2    Popel, A.S.3
  • 38
    • 41249085231 scopus 로고    scopus 로고
    • Front-tracking simulation of deformation and buckling instability of a liquid capsule enclosed by an elastic membrane
    • Li X.Y., and Sarkar K. Front-tracking simulation of deformation and buckling instability of a liquid capsule enclosed by an elastic membrane. J Comput Phys 227 (2008) 4998-5018
    • (2008) J Comput Phys , vol.227 , pp. 4998-5018
    • Li, X.Y.1    Sarkar, K.2
  • 39
    • 34548679596 scopus 로고    scopus 로고
    • A lattice Boltzmann front-track method for interface dynamics with surface tension in two-dimensions
    • Lallemand P., Luo L.S., and Peng Y. A lattice Boltzmann front-track method for interface dynamics with surface tension in two-dimensions. J Comput Phys 226 (2007) 1367-1384
    • (2007) J Comput Phys , vol.226 , pp. 1367-1384
    • Lallemand, P.1    Luo, L.S.2    Peng, Y.3
  • 40
    • 0024639764 scopus 로고
    • Free and constrained inflation of elastic membranes in relation to thermoforming non-axisymmetric problems
    • Charrier J.M., Shrivastava S., and Wu R. Free and constrained inflation of elastic membranes in relation to thermoforming non-axisymmetric problems. J Strain Anal 24 (1989) 55-74
    • (1989) J Strain Anal , vol.24 , pp. 55-74
    • Charrier, J.M.1    Shrivastava, S.2    Wu, R.3
  • 41
    • 0027311350 scopus 로고
    • Large deformation finite element analysis of non-linear viscoelastic membranes with reference to thermoforming
    • Shrivastava S., and Tang J. Large deformation finite element analysis of non-linear viscoelastic membranes with reference to thermoforming. J Strain Anal 28 (1993) 31-51
    • (1993) J Strain Anal , vol.28 , pp. 31-51
    • Shrivastava, S.1    Tang, J.2
  • 42
    • 0015595017 scopus 로고
    • Strain energy function of red blood cell membranes
    • Skalak R., Tozeren A., Zarda R.P., and Chien S. Strain energy function of red blood cell membranes. Biophys J 13 (1973) 245-264
    • (1973) Biophys J , vol.13 , pp. 245-264
    • Skalak, R.1    Tozeren, A.2    Zarda, R.P.3    Chien, S.4
  • 43
    • 26344468007 scopus 로고
    • A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems
    • Bhatnagar P.L., Gross E.P., and Krook M. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Phys Rev 94 (1954) 511-525
    • (1954) Phys Rev , vol.94 , pp. 511-525
    • Bhatnagar, P.L.1    Gross, E.P.2    Krook, M.3
  • 44
    • 0034297477 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: lattice Boltzmann models for nonideal gases
    • Luo L.S. Theory of the lattice Boltzmann method: lattice Boltzmann models for nonideal gases. Phys Rev E 62 (2000) 4982-4996
    • (2000) Phys Rev E , vol.62 , pp. 4982-4996
    • Luo, L.S.1
  • 45
    • 33751580668 scopus 로고    scopus 로고
    • Discrete lattice effects on the forcing term in the lattice Boltzmann method
    • Guo Z.L., Zheng C.G., and Shi B.C. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Phys Rev E 65 (2002) 046308
    • (2002) Phys Rev E , vol.65 , pp. 046308
    • Guo, Z.L.1    Zheng, C.G.2    Shi, B.C.3
  • 46
    • 46549085231 scopus 로고    scopus 로고
    • A phenomenological model for wall effects on the deformation of an ellipsoidal drop in viscous flow
    • Minale M. A phenomenological model for wall effects on the deformation of an ellipsoidal drop in viscous flow. Rheol Acta 47 (2008) 667-675
    • (2008) Rheol Acta , vol.47 , pp. 667-675
    • Minale, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.