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Volumn 7, Issue , 2001, Pages 281-302

Fluid flow in collapsible elastic tubes: A three-dimensional numerical model

Author keywords

Collapsible tubes; Elastic boundary; Immersed boundary method; Three dimensional computation

Indexed keywords


EID: 0012666265     PISSN: None     EISSN: 10769803     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (50)

References (42)
  • 2
    • 0020077257 scopus 로고
    • Amathematic al model of unsteady collapsible tube behavior
    • C. D. Bertram and T. J. Pedley, Amathematic al model of unsteady collapsible tube behavior, J. Biomechanics 15, (1982), 39-50.
    • (1982) J. Biomechanics , vol.15 , pp. 39-50
    • Bertram, C.D.1    Pedley, T.J.2
  • 4
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • MR 39 #3723, Zbl 0198.50103
    • A. J. Chorin, Numerical solution of the Navier-Stokes equations, Math Computations 22 (1968) 745-762. MR 39 #3723, Zbl 0198.50103.
    • (1968) Math Computations , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 5
    • 84968483581 scopus 로고
    • On the convergence of discrete approximations to the Navier-Stokes equations
    • MR 39 #3724, Zbl 0184.20103
    • A. J. Chorin, On the convergence of discrete approximations to the Navier-Stokes equations, Math Computations 23 (1969), 341-353. MR 39 #3724, Zbl 0184.20103.
    • (1969) Math Computations , vol.23 , pp. 341-353
    • Chorin, A.J.1
  • 7
    • 0019035120 scopus 로고
    • Steady pressure flow relations in compressed arteries: Possible origin of Korotkoff sounds
    • W. A. Conrad, D. M. McQueen, and E. L. Yellin, Steady pressure flow relations in compressed arteries: Possible origin of Korotkoff sounds, Med. and Biol. Eng. and Comput. 18 (1980), 419-426.
    • (1980) Med. and Biol. Eng. and Comput , vol.18 , pp. 419-426
    • Conrad, W.A.1    McQueen, D.M.2    Yellin, E.L.3
  • 9
    • 0015476469 scopus 로고
    • Post buckling behavior of elastic tubes and rings with opposite sides in contact
    • Zbl 0249.73046
    • J. E. Flaherty, J. B. Keller and S. I. Rubinow, Post buckling behavior of elastic tubes and rings with opposite sides in contact, SIAM J. Appl. Math. 23 (1972), 446-455. Zbl 0249.73046.
    • (1972) SIAM J. Appl. Math , vol.23 , pp. 446-455
    • Flaherty, J.E.1    Keller, J.B.2    Rubinow, S.I.3
  • 12
    • 0029676537 scopus 로고    scopus 로고
    • The stability of cylindrical shells conveying viscous fluid
    • M. Heil, The stability of cylindrical shells conveying viscous fluid, J. of Fluids and Structures 10 (1996), 173-196.
    • (1996) J. of Fluids and Structures , vol.10 , pp. 173-196
    • Heil, M.1
  • 13
    • 0029140003 scopus 로고
    • Large axisymmetric deformation of a cylindrical shell conveying a viscous flow
    • M. Heil and T. J. Pedley, Large axisymmetric deformation of a cylindrical shell conveying a viscous flow, J. of Fluids and Structures 9 (1995), 237-256.
    • (1995) J. of Fluids and Structures , vol.9 , pp. 237-256
    • Heil, M.1    Pedley, T.J.2
  • 14
    • 0024739081 scopus 로고
    • The existence of steady flow in a collapsed tube
    • O. E. Jensen and T. J. Pedley, The existence of steady flow in a collapsed tube, J. Fluid Mech. 206 (1989), 339-374.
    • (1989) J. Fluid Mech , vol.206 , pp. 339-374
    • Jensen, O.E.1    Pedley, T.J.2
  • 15
    • 0018547282 scopus 로고
    • Unsteady flow in a collapsible tube subjected to external pressure or body forces
    • R. D. Kamm and A. H. Shapiro: Unsteady flow in a collapsible tube subjected to external pressure or body forces, J. Fluid Mech. 95 (1979), 1-78.
    • (1979) J. Fluid Mech , vol.95 , pp. 1-78
    • Kamm, R.D.1    Shapiro, A.H.2
  • 16
    • 0019599518 scopus 로고
    • Steady, supercritical flow in collapsible tubes. Part 1. Experimental observations
    • I. Kececioglu, M. E. McClurken, R. D. Kamm and A. H. Shapiro, Steady, supercritical flow in collapsible tubes. Part 1. Experimental observations, J. Fluid Mech. 109 (1981), 367-389.
    • (1981) J. Fluid Mech , vol.109 , pp. 367-389
    • Kececioglu, I.1    McClurken, M.E.2    Kamm, R.D.3    Shapiro, A.H.4
  • 17
    • 0000868581 scopus 로고    scopus 로고
    • An immersed boundary method with formal second order accuracy and reduced numerical viscosity
    • MR 2000m:76085
    • M.-C. Lai and C. S. Peskin, An immersed boundary method with formal second order accuracy and reduced numerical viscosity, J. Comput. Phys. 160 (2000), 705-719. MR 2000m:76085.
    • (2000) J. Comput. Phys , vol.160 , pp. 705-719
    • Lai, M.-C.1    Peskin, C.S.2
  • 18
    • 0031129202 scopus 로고    scopus 로고
    • Immersed interface methods for Stokes flow with elastic boundaries or surface tension
    • Zbl 0879.76061
    • R. J. LeVeque and Z. Li, Immersed interface methods for Stokes flow with elastic boundaries or surface tension, SIAM J. on Sci. Comp. 18 (1997), 709-735. Zbl 0879.76061.
    • (1997) SIAM J. On Sci. Comp , vol.18 , pp. 709-735
    • Leveque, R.J.1    Li, Z.2
  • 19
    • 0019601887 scopus 로고
    • Steady, supercritical flow in collapsible tubes. Part 2. Theoretical studies
    • M. E. McClurken, I. Kececioglu, R. D. Kamm and A. H. Shapiro Steady, supercritical flow in collapsible tubes. Part 2. Theoretical studies, J. Fluid Mech. 109 (1981), 391-415.
    • (1981) J. Fluid Mech , vol.109 , pp. 391-415
    • McClurken, M.E.1    Kececioglu, I.2    Kamm, R.D.3    Shapiro, A.H.4
  • 20
    • 0024711948 scopus 로고
    • Flow in a two-dimensional collapsible channel with rigid inlet and outlet
    • Y. Matsuzaki and T. Matsumoto, Flow in a two-dimensional collapsible channel with rigid inlet and outlet, Trans. of the ASME. 111 (1989), 180-184.
    • (1989) Trans. of the ASME , vol.111 , pp. 180-184
    • Matsuzaki, Y.1    Matsumoto, T.2
  • 21
    • 84886857960 scopus 로고    scopus 로고
    • private communication
    • D. M. McQueen, private communication.
    • McQueen, D.M.1
  • 22
    • 45149145362 scopus 로고
    • AThr ee-Dimensional Computational Method for Blood Flow in the Heart II. Contractile Fibers
    • Zbl 0701.76130
    • D. M. McQueen and C. S. Peskin, AThr ee-Dimensional Computational Method for Blood Flow in the Heart II. Contractile Fibers, J. Comput. Phys. 82 (1989), 289-297. Zbl 0701.76130.
    • (1989) J. Comput. Phys , vol.82 , pp. 289-297
    • McQueen, D.M.1    Peskin, C.S.2
  • 25
    • 0024942687 scopus 로고
    • Amathematic al model of flow through a collapsible tube. I. Model and steady flow results
    • P. Morgan and K. H. Parker, Amathematic al model of flow through a collapsible tube. I. Model and steady flow results, J. of Biomech. 22 (1989), 1263-1270.
    • (1989) J. of Biomech , vol.22 , pp. 1263-1270
    • Morgan, P.1    Parker, K.H.2
  • 26
    • 0003463850 scopus 로고
    • Chapter 6, Flow in Collapsible Tubes, Cambridge Univ. Press, Cambridge
    • T. J. Pedley, The fluid mechanics of large blood vessels, Chapter 6, Flow in Collapsible Tubes, Cambridge Univ. Press, Cambridge, 1980.
    • (1980) The Fluid Mechanics of Large Blood Vessels
    • Pedley, T.J.1
  • 27
    • 0021216002 scopus 로고
    • Wave phenomena in physiological flows
    • MR 85b:76076
    • T. J. Pedley, Wave phenomena in physiological flows, IMA J. of App. Math. 32 (1984), 267-287. MR 85b:76076.
    • (1984) IMA J. of App. Math , vol.32 , pp. 267-287
    • Pedley, T.J.1
  • 29
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • MR 58 #9389
    • C. S. Peskin, Numerical analysis of blood flow in the heart, J. Comput. Phys. 25 (1977), 220-252. MR 58 #9389.
    • (1977) J. Comput. Phys , vol.25 , pp. 220-252
    • Peskin, C.S.1
  • 30
    • 85025757493 scopus 로고
    • Modeling prosthetic heart valves for numerical analysis of blood flow in the heart
    • MR 81g:92011, Zbl 0447.92009
    • C. S. Peskin and D. M. McQueen, Modeling prosthetic heart valves for numerical analysis of blood flow in the heart, J. Comput. Phys. 37 (1980), 113-132. MR 81g:92011, Zbl 0447.92009.
    • (1980) J. Comput. Phys , vol.37 , pp. 113-132
    • Peskin, C.S.1    McQueen, D.M.2
  • 31
    • 45149143078 scopus 로고
    • Athr ee-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid
    • MR 90k:92018, Zbl 0668.76159
    • C. S. Peskin and D. M. McQueen, Athr ee-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid, J. Comput. Phys. 81, (1989), 372-405. MR 90k:92018, Zbl 0668.76159.
    • (1989) J. Comput. Phys , vol.81 , pp. 372-405
    • Peskin, C.S.1    McQueen, D.M.2
  • 35
    • 0002795289 scopus 로고
    • Improved volume conservation in the computation of flows with immersed elastic boundaries
    • MR 93k:76081, Zbl 0762.92011
    • C. S. Peskin, B. F. Printz, Improved volume conservation in the computation of flows with immersed elastic boundaries, J. Comput. Phys. 105 (1993), 33-46. MR 93k:76081, Zbl 0762.92011.
    • (1993) J. Comput. Phys , vol.105 , pp. 33-46
    • Peskin, C.S.1    Printz, B.F.2
  • 36
    • 0345322929 scopus 로고
    • Handbook of Physiology, Section 2: The Cardiovascular System. Am. Physiological Society
    • J. A. G. Rhodin, Architecture of the vessel wall, Handbook of Physiology, Section 2: The Cardiovascular System. Am. Physiological Society, 1980.
    • (1980) Architecture of the Vessel Wall
    • Rhodin, J.A.G.1
  • 39
    • 0342417213 scopus 로고
    • Ac omputer method for simulation of cardiovascular flow fields: Validation of approach
    • Zbl 0741.92007
    • C. C. Vesier and A. P. Yoganathan, Ac omputer method for simulation of cardiovascular flow fields: Validation of approach, J. Comput. Phys. 99 (1992), 271-287. Zbl 0741.92007.
    • (1992) J. Comput. Phys , vol.99 , pp. 271-287
    • Vesier, C.C.1    Yoganathan, A.P.2
  • 40
    • 84886829588 scopus 로고
    • WADC Report TR56-614, unpublished
    • J. Womersley, WADC Report TR56-614, 1957 (unpublished).
    • (1957)
    • Womersley, J.1
  • 41
    • 0002051346 scopus 로고
    • Flow in the larger arteries and its relation to the oscillating pressure
    • J. Womersley, Flow in the larger arteries and its relation to the oscillating pressure, J. Physiol. 124 (1954), 31-32P.
    • (1954) J. Physiol , vol.124 , pp. 31-32
    • Womersley, J.1
  • 42
    • 0001767319 scopus 로고
    • Oscillatory motion of a viscous liquid in a thin-walled elastic tube. I. The linear approximation for long waves
    • J. Womersley, Oscillatory motion of a viscous liquid in a thin-walled elastic tube. I. The linear approximation for long waves, Phil. Mag., 46 (1955), 199-221.
    • (1955) Phil. Mag , vol.46 , pp. 199-221
    • Womersley, J.1


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