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Volumn , Issue , 2009, Pages 105-130

Parallel and Adaptive Simulation of Cardiac Fluid Dynamics

Author keywords

Immersed boundary formulation of problems of fluid structure interaction; Parallel and adaptive simulation of cardiac fluid dynamics; Simulating cardiac fluid dynamics

Indexed keywords


EID: 80051472087     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9780470558027.ch7     Document Type: Chapter
Times cited : (34)

References (50)
  • 1
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • C.S. Peskin. The immersed boundary method. Acta Numer., 11:479-517, 2002.
    • (2002) Acta Numer. , vol.11 , pp. 479-517
    • Peskin, C.S.1
  • 2
    • 0004246361 scopus 로고
    • Flow patterns around heart valves: a digital computer method for solving the equations of motion
    • Albert Einstein College of Medicine
    • C.S. Peskin. Flow patterns around heart valves: a digital computer method for solving the equations of motion. PhD thesis, Albert Einstein College of Medicine, 1972.
    • (1972) PhD thesis
    • Peskin, C.S.1
  • 3
    • 0017424014 scopus 로고
    • Numerical analysis of blood flow in the heart
    • C.S. Peskin. Numerical analysis of blood flow in the heart. J. Comput. Phys., 25(3):220-252, 1977.
    • (1977) J. Comput. Phys. , vol.25 , Issue.3 , pp. 220-252
    • Peskin, C.S.1
  • 4
    • 0034176173 scopus 로고    scopus 로고
    • Three-dimensional computational model of left heart diastolic function with fluid-structure interaction
    • J.D. Lemmon and A.P. Yoganathan. Three-dimensional computational model of left heart diastolic function with fluid-structure interaction. J. Biomech. Eng., 122(2):109-117, 2000.
    • (2000) J. Biomech. Eng. , vol.122 , Issue.2 , pp. 109-117
    • Lemmon, J.D.1    Yoganathan, A.P.2
  • 5
    • 0033804590 scopus 로고    scopus 로고
    • Computational modeling of left heart diastolic function: examination of ventricular dysfunction
    • J.D. Lemmon and A.P. Yoganathan. Computational modeling of left heart diastolic function: examination of ventricular dysfunction. J. Biomech. Eng., 122(4):297-303, 2000.
    • (2000) J. Biomech. Eng. , vol.122 , Issue.4 , pp. 297-303
    • Lemmon, J.D.1    Yoganathan, A.P.2
  • 6
    • 0002680335 scopus 로고    scopus 로고
    • Fluid dynamics of the heart and its valves
    • In H.G. Othmer, F.R. Adler, M.A. Lewis, and J.C. Dallon, editors, Prentice-Hall, Englewood Cliffs, NJ
    • C.S. Peskin and D.M. McQueen. Fluid dynamics of the heart and its valves. In H.G. Othmer, F.R. Adler, M.A. Lewis, and J.C. Dallon, editors, Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology, Prentice-Hall, Englewood Cliffs, NJ, 1996, pp. 309-337.
    • (1996) Case Studies in Mathematical Modeling: Ecology, Physiology, and Cell Biology , pp. 309-337
    • Peskin, C.S.1    McQueen, D.M.2
  • 7
    • 0002329803 scopus 로고    scopus 로고
    • Athree-dimensional computer model of the human heart for studying cardiac fluid dynamics
    • D.M. McQueen and C.S. Peskin. Athree-dimensional computer model of the human heart for studying cardiac fluid dynamics. Comput. Graph., 34(1):56-60, 2000.
    • (2000) Comput. Graph. , vol.34 , Issue.1 , pp. 56-60
    • McQueen, D.M.1    Peskin, C.S.2
  • 8
    • 0026908030 scopus 로고
    • Continuum models of platelet aggregation: formulation and mechanical properties
    • A.L. Fogelson. Continuum models of platelet aggregation: formulation and mechanical properties. SIAM J. Appl. Math., 52(4):1089-1110, 1992.
    • (1992) SIAM J. Appl. Math. , vol.52 , Issue.4 , pp. 1089-1110
    • Fogelson, A.L.1
  • 9
    • 0006006596 scopus 로고    scopus 로고
    • Computational methods for continuum models of platelet aggregation
    • N.T.Wang and A.L. Fogelson. Computational methods for continuum models of platelet aggregation. J. Comput. Phy., 151(2):649-675, 1999.
    • (1999) J. Comput. Phy. , vol.151 , Issue.2 , pp. 649-675
    • Wang, N.T.1    Fogelson, A.L.2
  • 10
    • 11044238141 scopus 로고    scopus 로고
    • Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution
    • A.L. Fogelson and R.D. Guy. Platelet-wall interactions in continuum models of platelet thrombosis: formulation and numerical solution. Math. Med. Biol., 21(4):293-334, 2004.
    • (2004) Math. Med. Biol. , vol.21 , Issue.4 , pp. 293-334
    • Fogelson, A.L.1    Guy, R.D.2
  • 11
    • 0000266020 scopus 로고    scopus 로고
    • Large deformation of red blood cell ghosts in a simple shear flow
    • C.D. Eggleton and A.S. Popel. Large deformation of red blood cell ghosts in a simple shear flow. Phys. Fluids, 10(8):1834-1845, 1998.
    • (1998) Phys. Fluids , vol.10 , Issue.8 , pp. 1834-1845
    • Eggleton, C.D.1    Popel, A.S.2
  • 12
    • 30344471057 scopus 로고    scopus 로고
    • Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow
    • P. Bagchi, P.C. Johnson, and A.S. Popel. Computational fluid dynamic simulation of aggregation of deformable cells in a shear flow. J. Biomech. Eng., 127(7):1070-1080, 2005.
    • (2005) J. Biomech. Eng. , vol.127 , Issue.7 , pp. 1070-1080
    • Bagchi, P.1    Johnson, P.C.2    Popel, A.S.3
  • 13
    • 0342417213 scopus 로고
    • A computer method for simulation of cardiovascular flow-fields: validation of approach
    • C.C. Vesier and A.P. Yoganathan. A computer method for simulation of cardiovascular flow-fields: validation of approach. J. Comput. Phys., 99(2):271-287, 1992.
    • (1992) J. Comput. Phys. , vol.99 , Issue.2 , pp. 271-287
    • Vesier, C.C.1    Yoganathan, A.P.2
  • 14
    • 0001570059 scopus 로고    scopus 로고
    • Modeling arteriolar flow and mass transport using the immersed boundary method
    • K.M. Arthurs, L.C. Moore, C.S. Peskin, E.B. Pitman, and H.E. Layton. Modeling arteriolar flow and mass transport using the immersed boundary method. J. Comput. Phys., 147(2):402-440, 1998.
    • (1998) J. Comput. Phys. , vol.147 , Issue.2 , pp. 402-440
    • Arthurs, K.M.1    Moore, L.C.2    Peskin, C.S.3    Pitman, E.B.4    Layton, H.E.5
  • 15
    • 0012666265 scopus 로고    scopus 로고
    • Fluid flow in collapsible elastic tubes: a three-dimensional numerical model
    • M.E. Rosar and C.S. Peskin. Fluid flow in collapsible elastic tubes: a three-dimensional numerical model. New York J. Math., 7:281-302, 2001.
    • (2001) New York J. Math. , vol.7 , pp. 281-302
    • Rosar, M.E.1    Peskin, C.S.2
  • 16
    • 0345700718 scopus 로고    scopus 로고
    • Advective transport of nitric oxide in a mathematical model of the afferent arteriole
    • K.M. Smith, L.C. Moore, and H.E. Layton. Advective transport of nitric oxide in a mathematical model of the afferent arteriole. Am. J. Physiol. Renal Physiol., 284(5):F1080-F1096, 2003.
    • (2003) Am. J. Physiol. Renal Physiol. , vol.284 , Issue.5
    • Smith, K.M.1    Moore, L.C.2    Layton, H.E.3
  • 17
    • 77952428254 scopus 로고    scopus 로고
    • Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method
    • Courant Institute of Mathematical Sciences, New York University
    • B.E. Griffith. Simulating the blood-muscle-valve mechanics of the heart by an adaptive and parallel version of the immersed boundary method. PhD thesis, Courant Institute of Mathematical Sciences, New York University, 4.
    • PhD thesis
    • Griffith, B.E.1
  • 18
    • 33947217364 scopus 로고    scopus 로고
    • An adaptive, formally second order accurate version of the immersed boundary method
    • B.E. Griffith, R.D. Hornung, D.M. McQueen, and C.S. Peskin. An adaptive, formally second order accurate version of the immersed boundary method. J. Comput. Phys., 223(1):10-49, 2007.
    • (2007) J. Comput. Phys. , vol.223 , Issue.1 , pp. 10-49
    • Griffith, B.E.1    Hornung, R.D.2    McQueen, D.M.3    Peskin, C.S.4
  • 19
    • 19044361846 scopus 로고    scopus 로고
    • On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems
    • B.E. Griffith and C.S. Peskin. On the order of accuracy of the immersed boundary method: higher order convergence rates for sufficiently smooth problems. J. Comput. Phys., 208(1):75-105, 2005.
    • (2005) J. Comput. Phys. , vol.208 , Issue.1 , pp. 75-105
    • Griffith, B.E.1    Peskin, C.S.2
  • 20
    • 0343617730 scopus 로고    scopus 로고
    • Amultilevel self adaptive version of the immersed boundary method
    • Courant Institute of Mathematical Sciences, New York University
    • A.M. Roma. Amultilevel self adaptive version of the immersed boundary method. PhD thesis, Courant Institute of Mathematical Sciences, New York University, 1996.
    • (1996) PhD thesis
    • Roma, A.M.1
  • 21
    • 0000810173 scopus 로고    scopus 로고
    • An adaptive version of the immersed boundary method
    • A.M. Roma, C.S. Peskin, and M.J. Berger. An adaptive version of the immersed boundary method. J. Comput. Phys., 153(2):509-534, 1999.
    • (1999) J. Comput. Phys. , vol.153 , Issue.2 , pp. 509-534
    • Roma, A.M.1    Peskin, C.S.2    Berger, M.J.3
  • 22
    • 0035273564 scopus 로고    scopus 로고
    • Strong stability-preserving high-order time discretization methods
    • S. Gottlieb, C.-W. Shu, and E. Tadmor. Strong stability-preserving high-order time discretization methods. SIAM Rev., 43(1):89-112, 2001.
    • (2001) SIAM Rev. , vol.43 , Issue.1 , pp. 89-112
    • Gottlieb, S.1    Shu, C.-W.2    Tadmor, E.3
  • 23
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. Chorin. Numerical solution of the Navier-Stokes equations. Math. Comput., 22(104):745-762, 1968.
    • (1968) Math. Comput. , vol.22 , Issue.104 , pp. 745-762
    • Chorin, A.J.1
  • 24
    • 84968483581 scopus 로고
    • On the convergence of discrete approximations to the Navier-Stokes equations
    • A.J. Chorin. On the convergence of discrete approximations to the Navier-Stokes equations. Math. Comput., 23(106):341-353, 1969.
    • (1969) Math. Comput. , vol.23 , Issue.106 , pp. 341-353
    • Chorin, A.J.1
  • 25
    • 0001608079 scopus 로고
    • Asecond-order projection method for the incompressible Navier-Stokes equations
    • J.B. Bell, P. Colella, and H.M. Glaz. Asecond-order projection method for the incompressible Navier-Stokes equations. J. Comput. Phys., 85(2):257-283, 1989.
    • (1989) J. Comput. Phys. , vol.85 , Issue.2 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 26
    • 0035505590 scopus 로고    scopus 로고
    • A Cartesian grid embedded boundary method for the heat equation on irregular domains
    • P. McCorquodale, P. Colella, and H. Johansen. A Cartesian grid embedded boundary method for the heat equation on irregular domains. J. Comput. Phys., 173(2):620-635, 2001.
    • (2001) J. Comput. Phys. , vol.173 , Issue.2 , pp. 620-635
    • McCorquodale, P.1    Colella, P.2    Johansen, H.3
  • 27
    • 0030078729 scopus 로고    scopus 로고
    • On the stability of Godunov-projection methods for incompressible flow
    • M.L. Minion. On the stability of Godunov-projection methods for incompressible flow. J. Comput. Phys., 123(2):435-449, 1996.
    • (1996) J. Comput. Phys. , vol.123 , Issue.2 , pp. 435-449
    • Minion, M.L.1
  • 28
    • 0030210485 scopus 로고    scopus 로고
    • A projection method for locally refined grids
    • M.L. Minion. A projection method for locally refined grids. J. Comput. Phys., 127(1):158-178, 1996.
    • (1996) J. Comput. Phys. , vol.127 , Issue.1 , pp. 158-178
    • Minion, M.L.1
  • 29
    • 0000037930 scopus 로고    scopus 로고
    • A cell-centered adaptive projection method for the incompressible Euler equations
    • D.F. Martin and P. Colella. A cell-centered adaptive projection method for the incompressible Euler equations. J. Comput. Phys., 163(2):271-312, 2000.
    • (2000) J. Comput. Phys. , vol.163 , Issue.2 , pp. 271-312
    • Martin, D.F.1    Colella, P.2
  • 30
    • 0008688174 scopus 로고    scopus 로고
    • A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
    • A.S. Almgren, J.B. Bell, P. Colella, L.H. Howell, and M.L. Welcome. A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations. J. Comput. Phys., 142(1):1-46, 1998.
    • (1998) J. Comput. Phys. , vol.142 , Issue.1 , pp. 1-46
    • Almgren, A.S.1    Bell, J.B.2    Colella, P.3    Howell, L.H.4    Welcome, M.L.5
  • 32
    • 0036646919 scopus 로고    scopus 로고
    • Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method
    • L. Zhu and C.S. Peskin. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys., 179(2):452-468, 2002.
    • (2002) J. Comput. Phys. , vol.179 , Issue.2 , pp. 452-468
    • Zhu, L.1    Peskin, C.S.2
  • 34
    • 45149143078 scopus 로고
    • A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid
    • C.S. Peskin and D.M. McQueen. A three-dimensional computational method for blood flow in the heart. I. Immersed elastic fibers in a viscous incompressible fluid. J. Comput. Phys., 81(2):372-405, 1989.
    • (1989) J. Comput. Phys. , vol.81 , Issue.2 , pp. 372-405
    • Peskin, C.S.1    McQueen, D.M.2
  • 35
    • 84966249747 scopus 로고
    • Local refinement techniques for elliptic problems on cell-centered grids
    • R.E. Ewing, R.D. Lazarov, and P.S. Vassilevski. Local refinement techniques for elliptic problems on cell-centered grids. I. Error analysis. Math. Comput., 56(194):437-461, 1991.
    • (1991) I. Error analysis. Math. Comput. , vol.56 , Issue.194 , pp. 437-461
    • Ewing, R.E.1    Lazarov, R.D.2    Vassilevski, P.S.3
  • 36
    • 0000310338 scopus 로고    scopus 로고
    • A numerical method for the incompressible Navier-Stokes equations based on an approximate projection
    • A.S. Almgren, J.B. Bell, and W.G. Szymczak. A numerical method for the incompressible Navier-Stokes equations based on an approximate projection. SIAM J. Sci. Comput., 17(2):358-369, 1996.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.2 , pp. 358-369
    • Almgren, A.S.1    Bell, J.B.2    Szymczak, W.G.3
  • 37
    • 0004091941 scopus 로고
    • A projection method for reacting flow in the zero mach number limit
    • University of California at Berkeley
    • M.F. Lai. A projection method for reacting flow in the zero mach number limit. PhD thesis, University of California at Berkeley, 1993.
    • (1993) PhD thesis
    • Lai, M.F.1
  • 38
    • 33749190078 scopus 로고
    • Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface
    • F.H. Harlow and J.E. Welch. Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids, 8(12):2182-2189, 1965.
    • (1965) Phys. Fluids , vol.8 , Issue.12 , pp. 2182-2189
    • Harlow, F.H.1    Welch, J.E.2
  • 40
    • 0026226856 scopus 로고
    • An algorithm for point clustering and grid generation
    • M.J. Berger and I. Rigoutsos. An algorithm for point clustering and grid generation. IEEE Trans. Syst. Man Cybern., 21(5):1278-1286, 1991.
    • (1991) IEEE Trans. Syst. Man Cybern. , vol.21 , Issue.5 , pp. 1278-1286
    • Berger, M.J.1    Rigoutsos, I.2
  • 41
    • 41849088118 scopus 로고    scopus 로고
    • Implicit second-order immersed boundary methods with boundary mass
    • Y. Mori and C.S. Peskin. Implicit second-order immersed boundary methods with boundary mass. Comput. Methods Appl. Mech. Engrg., 197(25-28):2049-2067, 2008.
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , Issue.25-28 , pp. 2049-2067
    • Mori, Y.1    Peskin, C.S.2
  • 42
    • 34447541682 scopus 로고    scopus 로고
    • Distributed immersed boundary simulation in Titanium
    • E. Givelberg and K. Yelick. Distributed immersed boundary simulation in Titanium. SIAM J. Sci. Comput., 28(4):1361-1378, 2006.
    • (2006) SIAM J. Sci. Comput. , vol.28 , Issue.4 , pp. 1361-1378
    • Givelberg, E.1    Yelick, K.2
  • 43
    • 0037171879 scopus 로고    scopus 로고
    • Managing application complexity in the SAMRAI object-oriented framework
    • R.D. Hornung and S.R. Kohn. Managing application complexity in the SAMRAI object-oriented framework. Concurrency Comput. Pract. Exper., 14(5):347-368, 2002.
    • (2002) Concurrency Comput. Pract. Exper. , vol.14 , Issue.5 , pp. 347-368
    • Hornung, R.D.1    Kohn, S.R.2
  • 44
    • 34249930796 scopus 로고    scopus 로고
    • Managing complex data and geometry in parallel structured AMR applications
    • R.D. Hornung, A.M. Wissink, and S.R. Kohn. Managing complex data and geometry in parallel structured AMR applications. Eng. Comput., 22(3-4):181-195, (2006).
    • (2006) Eng. Comput. , vol.22 , Issue.3-4 , pp. 181-195
    • Hornung, R.D.1    Wissink, A.M.2    Kohn, S.R.3
  • 46
    • 0002515487 scopus 로고    scopus 로고
    • Efficient management of parallelism in object oriented numerical software libraries
    • In E. Arge, A.M. Bruaset, and H.P. Langtangen, editors, Birkhäuser Press
    • S. Balay, V. Eijkhout, W.D. Gropp, L.C. McInnes, and B.F. Smith. Efficient management of parallelism in object oriented numerical software libraries. In E. Arge, A.M. Bruaset, and H.P. Langtangen, editors, Modern Software Tools in Scientific Computing. Birkhäuser Press, 1997, pp. 163-202.
    • (1997) Modern Software Tools in Scientific Computing , pp. 163-202
    • Balay, S.1    Eijkhout, V.2    Gropp, W.D.3    McInnes, L.C.4    Smith, B.F.5
  • 47
    • 26244468102 scopus 로고    scopus 로고
    • Newton-Krylov-FAC methods for problems discretized on locallyrefined grids
    • M. Pernice and R.D. Hornung. Newton-Krylov-FAC methods for problems discretized on locallyrefined grids. Comput. Vis. Sci., 8(2):107-118, 2005.
    • (2005) Comput. Vis. Sci. , vol.8 , Issue.2 , pp. 107-118
    • Pernice, M.1    Hornung, R.D.2
  • 48
    • 33646131626 scopus 로고    scopus 로고
    • A quantitative analysis of cardiac myocyte relaxation: a simulation study
    • S.A. Niederer, P.J. Hunter, and N.P. Smith. A quantitative analysis of cardiac myocyte relaxation: a simulation study. Biophys. J., 90(5):1697-1722, 2006.
    • (2006) Biophys. J. , vol.90 , Issue.5 , pp. 1697-1722
    • Niederer, S.A.1    Hunter, P.J.2    Smith, N.P.3
  • 49
    • 0028144286 scopus 로고
    • Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets
    • C.S. Peskin and D.M. McQueen. Mechanical equilibrium determines the fractal fiber architecture of aortic heart valve leaflets. Am. J. Physiol. Heart Circ. Physiol., 266(1):H319-H328, 1994.
    • (1994) Am. J. Physiol. Heart Circ. Physiol. , vol.266 , Issue.1
    • Peskin, C.S.1    McQueen, D.M.2
  • 50
    • 46549085282 scopus 로고
    • Fractal dimension of an aortic heart valve leaflet
    • J.V. Stern and C.S. Peskin. Fractal dimension of an aortic heart valve leaflet. Fractals, 2(3):461-464, 1994.
    • (1994) Fractals , vol.2 , Issue.3 , pp. 461-464
    • Stern, J.V.1    Peskin, C.S.2


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