메뉴 건너뛰기




Volumn 228, Issue 22, 2009, Pages 8427-8445

An implicit immersed boundary method for three-dimensional fluid-membrane interactions

Author keywords

Immersed boundary method; Membrane capsules; Navier Stokes equations; Newton Krylov method; Red blood cells

Indexed keywords

BLOOD; CELLS; FINITE ELEMENT METHOD; FLUID STRUCTURE INTERACTION; ITERATIVE METHODS; MEMBRANES; SHEAR FLOW; TURBULENT FLOW; VISCOUS FLOW;

EID: 70349391387     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.08.018     Document Type: Article
Times cited : (97)

References (54)
  • 2
    • 0019684859 scopus 로고
    • The time-dependent deformation of a capsule freely suspended in a linear shear flow
    • Barthes-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
    • Barthes-Biesel, D.1    Rallison, J.M.2
  • 3
    • 46049087306 scopus 로고    scopus 로고
    • Curvilinear immersed boundary method for simulating fluid-structure interaction with complex 3D rigid bodies
    • Borazjani I., Ge L., and Sotiropoulos F. Curvilinear immersed boundary method for simulating fluid-structure interaction with complex 3D rigid bodies. J. Comput. Phys. 227 (2008) 7587-7620
    • (2008) J. Comput. Phys. , vol.227 , pp. 7587-7620
    • Borazjani, I.1    Ge, L.2    Sotiropoulos, F.3
  • 4
    • 0000135764 scopus 로고    scopus 로고
    • Accurate projection methods for the incompressible Navier-Stokes equations
    • Brown D.L., Cortez R., and Minion M.L. Accurate projection methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 168 (2001) 464-499
    • (2001) J. Comput. Phys. , vol.168 , pp. 464-499
    • Brown, D.L.1    Cortez, R.2    Minion, M.L.3
  • 5
    • 0000977352 scopus 로고
    • Hybrid Krylov methods for nonlinear systems of equations
    • Brown P.N., and Saad Y. Hybrid Krylov methods for nonlinear systems of equations. SIAM J. Sci. Stat. Comput. 11 (1990) 450-481
    • (1990) SIAM J. Sci. Stat. Comput. , vol.11 , pp. 450-481
    • Brown, P.N.1    Saad, Y.2
  • 7
    • 0001651643 scopus 로고
    • Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms
    • Chan T.F., and Jackson K.R. Nonlinearly preconditioned Krylov subspace methods for discrete Newton algorithms. SIAM J. Sci. Stat. Comput. 5 (1984) 533-542
    • (1984) SIAM J. Sci. Stat. Comput. , vol.5 , pp. 533-542
    • Chan, T.F.1    Jackson, K.R.2
  • 8
    • 38849131967 scopus 로고    scopus 로고
    • Using 3D fluid-structure interaction model to analyse the biomechanical properties of the erythrocyte
    • Chee C.Y., Lee H.P., and Lu C. Using 3D fluid-structure interaction model to analyse the biomechanical properties of the erythrocyte. Phys. Lett. A 372 (2008) 1357-1362
    • (2008) Phys. Lett. A , vol.372 , pp. 1357-1362
    • Chee, C.Y.1    Lee, H.P.2    Lu, C.3
  • 9
    • 0142075533 scopus 로고    scopus 로고
    • Mechanics of the human red blood cell deformed by optical tweezers
    • Dao M., Lim C.T., and Suresh S. Mechanics of the human red blood cell deformed by optical tweezers. J. Mech. Phys. Solid 51 (2003) 2259-2280
    • (2003) J. Mech. Phys. Solid , vol.51 , pp. 2259-2280
    • Dao, M.1    Lim, C.T.2    Suresh, S.3
  • 10
    • 0029590791 scopus 로고
    • A microscale model of bacterial swimming, chemotaxis and substrate transport
    • Dillon R., Fauci L.J., and Graver D. A microscale model of bacterial swimming, chemotaxis and substrate transport. J. Theor. Biol. 177 (1995) 325-340
    • (1995) J. Theor. Biol. , vol.177 , pp. 325-340
    • Dillon, R.1    Fauci, L.J.2    Graver, D.3
  • 11
    • 0000266020 scopus 로고    scopus 로고
    • Large deformation of red blood cell ghosts in a simple shear flow
    • Eggleton C.D., and Popel A.S. Large deformation of red blood cell ghosts in a simple shear flow. Phys. Fluid 10 (1998) 1834-1845
    • (1998) Phys. Fluid , vol.10 , pp. 1834-1845
    • Eggleton, C.D.1    Popel, A.S.2
  • 12
    • 84990553365 scopus 로고
    • Truncated Newton methods and the modeling of complex immersed elastic structures
    • Fauci L.J., and Fogelson A.L. Truncated Newton methods and the modeling of complex immersed elastic structures. Commun. Pure Appl. Math. 66 (1993) 787-818
    • (1993) Commun. Pure Appl. Math. , vol.66 , pp. 787-818
    • Fauci, L.J.1    Fogelson, A.L.2
  • 13
    • 0002265666 scopus 로고
    • A computational model of aquatic animal locomotion
    • Fauci L.J., and Peskin C.S. A computational model of aquatic animal locomotion. J. Comput. Phys. 77 (1988) 85-108
    • (1988) J. Comput. Phys. , vol.77 , pp. 85-108
    • Fauci, L.J.1    Peskin, C.S.2
  • 14
    • 0001021844 scopus 로고
    • A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting
    • Fogelson A.L. A mathematical model and numerical method for studying platelet adhesion and aggregation during blood clotting. J. Comput. Phys. 56 (1984) 111-134
    • (1984) J. Comput. Phys. , vol.56 , pp. 111-134
    • Fogelson, A.L.1
  • 15
    • 0026908030 scopus 로고
    • Continuum models of platelet aggregation: formulation and mechanical properties
    • Fogelson A.L. Continuum models of platelet aggregation: formulation and mechanical properties. SIAM J. Appl. Math. 52 (1992) 1089-1110
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 1089-1110
    • Fogelson, A.L.1
  • 16
    • 34547610213 scopus 로고    scopus 로고
    • A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries
    • Ge L., and Sotiropoulos F. A numerical method for solving the 3D unsteady incompressible Navier-Stokes equations in curvilinear domains with complex immersed boundaries. J. Comput. Phys. 225 (2007) 1782-1809
    • (2007) J. Comput. Phys. , vol.225 , pp. 1782-1809
    • Ge, L.1    Sotiropoulos, F.2
  • 17
    • 2442590775 scopus 로고    scopus 로고
    • Modeling elastic shells immersed in fluid
    • Givelberg E. Modeling elastic shells immersed in fluid. Commun. Pure Appl. Math. LVII (2004) 0283-0309
    • (2004) Commun. Pure Appl. Math. , vol.LVII , pp. 0283-0309
    • Givelberg, E.1
  • 18
    • 41749104869 scopus 로고    scopus 로고
    • Stability analysis of the immersed boundary method for a two-dimensional membrane with bending rigidity
    • Gong Z., Huang H., and Lu C. Stability analysis of the immersed boundary method for a two-dimensional membrane with bending rigidity. Commun. Comput. Phys. 3 3 (2008) 704-723
    • (2008) Commun. Comput. Phys. , vol.3 , Issue.3 , pp. 704-723
    • Gong, Z.1    Huang, H.2    Lu, C.3
  • 19
    • 0037574885 scopus 로고    scopus 로고
    • A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers
    • Henon S., Lenormand G., Richert A., and Gallet F. A new determination of the shear modulus of the human erythrocyte membrane using optical tweezers. Biophys. J. 76 (1999) 1145-1151
    • (1999) Biophys. J. , vol.76 , pp. 1145-1151
    • Henon, S.1    Lenormand, G.2    Richert, A.3    Gallet, F.4
  • 20
    • 0008283862 scopus 로고
    • Removing the stiffness from interfacial flows with surface tension
    • Hou T.Y., Lowengrub J., and Shelley M. Removing the stiffness from interfacial flows with surface tension. J. Comput. Phys. 114 (1994) 312-338
    • (1994) J. Comput. Phys. , vol.114 , pp. 312-338
    • Hou, T.Y.1    Lowengrub, J.2    Shelley, M.3
  • 21
    • 50249101609 scopus 로고    scopus 로고
    • An efficient semi-implicit immersed boundary method for the Navier-Stokes equations
    • Hou T.Y., and Shi Z. An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. J. Comput. Phys. 227 (2008) 8968-8991
    • (2008) J. Comput. Phys. , vol.227 , pp. 8968-8991
    • Hou, T.Y.1    Shi, Z.2
  • 22
    • 51649115533 scopus 로고    scopus 로고
    • Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations
    • Hou T.Y., and Shi Z. Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. J. Comput. Phys. 227 (2008) 9138-9169
    • (2008) J. Comput. Phys. , vol.227 , pp. 9138-9169
    • Hou, T.Y.1    Shi, Z.2
  • 23
    • 46549092989 scopus 로고
    • Application of a fractional step method to incompressible Navier-Stokes equations
    • Kim J., and Moin P. Application of a fractional step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59 (1985) 308-323
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 24
    • 0348198275 scopus 로고    scopus 로고
    • Jacobian-free Newton-Krylov methods: a survey of approaches and applications
    • Knoll D.A., and Keyes D.E. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. J. Comput. Phys. 193 (2004) 357-397
    • (2004) J. Comput. Phys. , vol.193 , pp. 357-397
    • Knoll, D.A.1    Keyes, D.E.2
  • 25
    • 0001229827 scopus 로고    scopus 로고
    • On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations
    • Knoll D.A., and Mousseau V.A. On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations. J. Comput. Phys. 163 (2000) 262-267
    • (2000) J. Comput. Phys. , vol.163 , pp. 262-267
    • Knoll, D.A.1    Mousseau, V.A.2
  • 26
    • 41949109811 scopus 로고    scopus 로고
    • An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains
    • Le D.V., Khoo B.C., and Lim K.M. An implicit-forcing immersed boundary method for simulating viscous flows in irregular domains. Comput. Method Appl. Mech. Eng. 197 (2008) 2119-2130
    • (2008) Comput. Method Appl. Mech. Eng. , vol.197 , pp. 2119-2130
    • Le, D.V.1    Khoo, B.C.2    Lim, K.M.3
  • 27
    • 33751241129 scopus 로고    scopus 로고
    • An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries
    • Le D.V., Khoo B.C., and Peraire J. An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries. J. Comput. Phys. 220 (2006) 109-138
    • (2006) J. Comput. Phys. , vol.220 , pp. 109-138
    • Le, D.V.1    Khoo, B.C.2    Peraire, J.3
  • 28
    • 42549127219 scopus 로고    scopus 로고
    • Numerical design of electro-mechanical traps
    • Le D.V., Rosales C., Khoo B.C., and Peraire J. Numerical design of electro-mechanical traps. Lap Chip 8 (2008) 755-763
    • (2008) Lap Chip , vol.8 , pp. 755-763
    • Le, D.V.1    Rosales, C.2    Khoo, B.C.3    Peraire, J.4
  • 29
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface method for Stokes flow with elastic boundaries or surface tension
    • LeVeque R.J., and Li Z. Immersed interface method for Stokes flow with elastic boundaries or surface tension. SIAM J. Sci. Comput. 18 3 (1997) 709-735
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.3 , pp. 709-735
    • LeVeque, R.J.1    Li, Z.2
  • 30
    • 0344097945 scopus 로고    scopus 로고
    • Large deformation of living cells using laser traps
    • Lim C.T., Dao M., Suresh S., Sow C.H., and Chew K.T. Large deformation of living cells using laser traps. Acta Mater. 52 (2004) 1837-1845
    • (2004) Acta Mater. , vol.52 , pp. 1837-1845
    • Lim, C.T.1    Dao, M.2    Suresh, S.3    Sow, C.H.4    Chew, K.T.5
  • 31
    • 0001417748 scopus 로고
    • An implicit numerical method for fluid dynamics problems with immersed elastic boundaries
    • Mayo A., and Peskin C.S. An implicit numerical method for fluid dynamics problems with immersed elastic boundaries. Contemp. Math. 141 (1993) 261-277
    • (1993) Contemp. Math. , vol.141 , pp. 261-277
    • Mayo, A.1    Peskin, C.S.2
  • 32
    • 17844376298 scopus 로고    scopus 로고
    • Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers
    • Mills J.P., Qie L., Dao M., Lim C.T., and Suresh S. Nonlinear elastic and viscoelastic deformation of the human red blood cell with optical tweezers. Mech. Chem. Biosyst. 1 3 (2004) 169-180
    • (2004) Mech. Chem. Biosyst. , vol.1 , Issue.3 , pp. 169-180
    • Mills, J.P.1    Qie, L.2    Dao, M.3    Lim, C.T.4    Suresh, S.5
  • 33
    • 41849088118 scopus 로고    scopus 로고
    • Implicit second-order immersed boundary methods with boundary mass
    • Mori Y., and Peskin C.S. Implicit second-order immersed boundary methods with boundary mass. Comput. Method Appl. Mech. Eng. 197 (2008) 2049-2067
    • (2008) Comput. Method Appl. Mech. Eng. , vol.197 , pp. 2049-2067
    • Mori, Y.1    Peskin, C.S.2
  • 34
    • 33847017264 scopus 로고    scopus 로고
    • Unconditionally stable discretizations of the immersed boundary equations
    • Newren E.P. Unconditionally stable discretizations of the immersed boundary equations. J. Comput. Phys. 222 (2007) 702-719
    • (2007) J. Comput. Phys. , vol.222 , pp. 702-719
    • Newren, E.P.1
  • 36
    • 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
  • 37
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C.S. The immersed boundary method. Acta Numer. 11 2 (2002) 479-517
    • (2002) Acta Numer. , vol.11 , Issue.2 , pp. 479-517
    • Peskin, C.S.1
  • 38
    • 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
  • 40
    • 0035839249 scopus 로고    scopus 로고
    • Effect of membrane bending stiffness on the deformation of capsules in simple shear flow
    • Pozrikidis C. Effect of membrane bending stiffness on the deformation of capsules in simple shear flow. J. Fluid Mech. 440 (2001) 269-291
    • (2001) J. Fluid Mech. , vol.440 , pp. 269-291
    • Pozrikidis, C.1
  • 41
    • 0347596462 scopus 로고    scopus 로고
    • Numerical simulation of the flow-induced deformation of red blood cells
    • Pozrikidis C. Numerical simulation of the flow-induced deformation of red blood cells. Ann. Biomed. Eng. 31 (2003) 1194-1205
    • (2003) Ann. Biomed. Eng. , vol.31 , pp. 1194-1205
    • Pozrikidis, C.1
  • 42
    • 0032049327 scopus 로고    scopus 로고
    • Deformation of liquid capsules enclosed by elastic membrane in simple shear flow: large deformations and the effect of fluid viscosities
    • Ramanujan S., and Pozrikidis C. Deformation of liquid capsules enclosed by elastic membrane in simple shear flow: large deformations and the effect of fluid viscosities. J. Fluid Mech. 361 (1998) 117-143
    • (1998) J. Fluid Mech. , vol.361 , pp. 117-143
    • Ramanujan, S.1    Pozrikidis, C.2
  • 43
    • 0000810173 scopus 로고    scopus 로고
    • An adaptive version of the immersed boundary method
    • Roma A.M., Peskin C.S., and Berger M.J. An adaptive version of the immersed boundary method. J. Comput. Phys. 153 (1999) 509-534
    • (1999) J. Comput. Phys. , vol.153 , pp. 509-534
    • Roma, A.M.1    Peskin, C.S.2    Berger, M.J.3
  • 44
    • 0000048673 scopus 로고
    • GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
    • Sadd Y. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7 (1986) 856-869
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 856-869
    • Sadd, Y.1
  • 45
    • 0000925137 scopus 로고
    • A direct method for the solution of Poisson's equation with Neumann boundary conditions on a staggered grid of arbitrary size
    • Schumann U., and Sweet R.A. A direct method for the solution of Poisson's equation with Neumann boundary conditions on a staggered grid of arbitrary size. J. Comput. Phys. 20 (1976) 171-182
    • (1976) J. Comput. Phys. , vol.20 , pp. 171-182
    • Schumann, U.1    Sweet, R.A.2
  • 46
    • 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
  • 47
    • 0029508275 scopus 로고
    • Stability analysis for the immersed fiber problem
    • Stockie J.M., and Wetton B.R. Stability analysis for the immersed fiber problem. SIAM J. Appl. Math. 55 (1995) 1577-1591
    • (1995) SIAM J. Appl. Math. , vol.55 , pp. 1577-1591
    • Stockie, J.M.1    Wetton, B.R.2
  • 48
    • 0009001404 scopus 로고    scopus 로고
    • Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes
    • Stockie J.M., and Wetton B.R. Analysis of stiffness in the immersed boundary method and implications for time-stepping schemes. J. Comput. Phys. 154 (1999) 41-64
    • (1999) J. Comput. Phys. , vol.154 , pp. 41-64
    • Stockie, J.M.1    Wetton, B.R.2
  • 50
    • 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
  • 51
    • 0000714458 scopus 로고
    • Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods
    • Tu C., and Peskin C.S. Stability and instability in the computation of flows with moving immersed boundaries: a comparison of three methods. SIAM J. Sci. Statist. Comput. 13 (1992) 1361-1376
    • (1992) SIAM J. Sci. Statist. Comput. , vol.13 , pp. 1361-1376
    • Tu, C.1    Peskin, C.S.2
  • 52
    • 0006006596 scopus 로고    scopus 로고
    • Computational methods for continuum models of platelet aggregation
    • Wang N.T., and Fogelson A.L. Computational methods for continuum models of platelet aggregation. J. Comput. Phys. 151 (1999) 649-675
    • (1999) J. Comput. Phys. , vol.151 , pp. 649-675
    • Wang, N.T.1    Fogelson, A.L.2
  • 53
    • 34248203227 scopus 로고    scopus 로고
    • An iterative matrix-free method in implicit immersed boundary/continuum methods
    • Wang X.S. An iterative matrix-free method in implicit immersed boundary/continuum methods. Comput. Struct. 85 (2007) 739-748
    • (2007) Comput. Struct. , vol.85 , pp. 739-748
    • Wang, X.S.1
  • 54
    • 0001248405 scopus 로고
    • Characterization of elastic properties of carbon-black-filled rubber vulcanizates
    • Yeoh O.H. Characterization of elastic properties of carbon-black-filled rubber vulcanizates. Rubber Chem. Technol. 63 (1990) 792-805
    • (1990) Rubber Chem. Technol. , vol.63 , pp. 792-805
    • Yeoh, O.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.