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Volumn 11, Issue 2, 2013, Pages 474-506

Implicit coupling of one-dimensional and three-dimensional blood flow models with compliant vessels

Author keywords

Blood flow models; Coupling conditions; Fluid structure interaction; Geometrical multiscale modeling; Wave propagation

Indexed keywords

BLOOD FLOW MODELS; COUPLING ALGORITHMS; COUPLING CONDITION; HETEROGENEOUS MODELS; MULTI-SCALE MODELING; ONE-DIMENSIONAL MODEL; PHYSIOLOGICAL CONDITION; PRESSURE WAVE PROPAGATION;

EID: 84879701084     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/120867408     Document Type: Article
Times cited : (35)

References (44)
  • 1
    • 44649093246 scopus 로고    scopus 로고
    • Fluid-structure partitioned procedures based on Robin transmission conditions
    • S. Badia, F. Nobile, and C. Vergara, Fluid-structure partitioned procedures based on Robin transmission conditions, J. Comput. Phys., 227 (2008), pp. 7027-7051.
    • (2008) J. Comput. Phys. , vol.227 , pp. 7027-7051
    • Badia, S.1    Nobile, F.2    Vergara, C.3
  • 2
    • 52549126993 scopus 로고    scopus 로고
    • Isogeometric fluid-structure interaction: Theory, algorithms, and computations
    • Y. Bazilevs, V. M. Calo, T. J. R. Hughes, and Y. Zhang, Isogeometric fluid-structure interaction: Theory, algorithms, and computations, Comput. Mech., 43 (2008), pp. 3-37.
    • (2008) Comput. Mech. , vol.43 , pp. 3-37
    • Bazilevs, Y.1    Calo, V.M.2    Hughes, T.J.R.3    Zhang, Y.4
  • 3
    • 34547697707 scopus 로고    scopus 로고
    • A unified variational approach for coupling 3D-1D models and its blood flow applications
    • P. J. Blanco, R. A. Feij'oo, and S. A. Urquiza, A unified variational approach for coupling 3D-1D models and its blood flow applications, Comput. Methods Appl. Mech. Engrg., 196 (2007), pp. 4391-4410.
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , pp. 4391-4410
    • Blanco, P.J.1    Feij'oo, R.A.2    Urquiza, S.A.3
  • 5
    • 77954615881 scopus 로고    scopus 로고
    • Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models
    • P. J. Blanco, S. A. Urquiza, and R. A. Feij'oo, Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models, Int. J. Numer. Methods Biomed. Engrg., 26 (2010), pp. 890-903.
    • (2010) Int. J. Numer. Methods Biomed. Engrg. , vol.26 , pp. 890-903
    • Blanco, P.J.1    Urquiza, S.A.2    Feij'oo, R.A.3
  • 6
    • 84883170013 scopus 로고    scopus 로고
    • Numerical simulation of left ventricular assist device implantations: Comparing the ascending and the descending aorta cannulations
    • to appear
    • J. Bonnemain, A. C. I. Malossi, M. Lesinigo, S. Deparis, A. Quarteroni, and L. K. von Segesser, Numerical simulation of left ventricular assist device implantations: Comparing the ascending and the descending aorta cannulations, Med. Eng. Phys., (2013), to appear.
    • (2013) Med. Eng. Phys.
    • Bonnemain, J.1    Malossi, A.C.I.2    Lesinigo, M.3    Deparis, S.4    Quarteroni, A.5    Von Segesser, L.K.6
  • 7
    • 33751063232 scopus 로고    scopus 로고
    • Continuous interior penalty finite element method for Oseen's equations
    • E. Burman, M. A. Fern'andez, and P. Hansbo, Continuous interior penalty finite element method for Oseen's equations, SIAM J. Numer. Anal., 44 (2006), pp. 1248-1274.
    • (2006) SIAM J. Numer. Anal. , vol.44 , pp. 1248-1274
    • Burman, E.1    Fern'andez, M.A.2    Hansbo, P.3
  • 8
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • P. Causin, J.-F. Gerbeau, and F. Nobile, Added-mass effect in the design of partitioned algorithms for fluid-structure problems, Comput. Methods Appl. Mech. Engrg., 194 (2005), pp. 4506-4527.
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , pp. 4506-4527
    • Causin, P.1    Gerbeau, J.-F.2    Nobile, F.3
  • 11
    • 80052729982 scopus 로고    scopus 로고
    • Parallel algorithms for fluid-structure interaction problems in haemodynamics
    • P. Crosetto, S. Deparis, G. Fourestey, and A. Quarteroni, Parallel algorithms for fluid-structure interaction problems in haemodynamics, SIAM J. Sci. Comput., 33 (2011), pp. 1598-1622.
    • (2011) SIAM J. Sci. Comput. , vol.33 , pp. 1598-1622
    • Crosetto, P.1    Deparis, S.2    Fourestey, G.3    Quarteroni, A.4
  • 14
    • 27644534744 scopus 로고    scopus 로고
    • A Newton method using exact Jacobian for solving fluid-structure coupling
    • M. A. Fern'andez and M. Moubachir, A Newton method using exact Jacobian for solving fluid-structure coupling, Comput. & Structures, 83 (2005), pp. 127-142.
    • (2005) Comput. & Structures , vol.83 , pp. 127-142
    • Fern'andez, M.A.1    Moubachir, M.2
  • 15
    • 0035824658 scopus 로고    scopus 로고
    • On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
    • L. Formaggia, J.-F. Gerbeau, F. Nobile, and A. Quarteroni, On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels, Comput. Methods Appl. Mech. Engrg., 191 (2001), pp. 561-582.
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , pp. 561-582
    • Formaggia, L.1    Gerbeau, J.-F.2    Nobile, F.3    Quarteroni, A.4
  • 16
    • 0036556662 scopus 로고    scopus 로고
    • Numerical treatment of defective boundary conditions for the Navier-Stokes equations
    • L. Formaggia, J.-F. Gerbeau, F. Nobile, and A. Quarteroni, Numerical treatment of defective boundary conditions for the Navier-Stokes equations, SIAM J. Numer. Anal., 40 (2002), pp. 376-401.
    • (2002) SIAM J. Numer. Anal. , vol.40 , pp. 376-401
    • Formaggia, L.1    Gerbeau, J.-F.2    Nobile, F.3    Quarteroni, A.4
  • 17
    • 0942268686 scopus 로고    scopus 로고
    • One-dimensional models for blood flow in arteries
    • L. Formaggia, D. Lamponi, and A. Quarteroni, One-dimensional models for blood flow in arteries, J. Engrg. Math., 47 (2003), pp. 251-276.
    • (2003) J. Engrg. Math. , vol.47 , pp. 251-276
    • Formaggia, L.1    Lamponi, D.2    Quarteroni, A.3
  • 18
    • 35148861376 scopus 로고    scopus 로고
    • Numerical modeling of 1D arterial networks coupled with a lumped parameters description of the heart
    • L. Formaggia, D. Lamponi, M. Tuveri, and A. Veneziani, Numerical modeling of 1D arterial networks coupled with a lumped parameters description of the heart, Comput. Methods Biomech. Biomed. Eng., 9 (2006), pp. 273-288.
    • (2006) Comput. Methods Biomech. Biomed. Eng. , vol.9 , pp. 273-288
    • Formaggia, L.1    Lamponi, D.2    Tuveri, M.3    Veneziani, A.4
  • 19
    • 35148884214 scopus 로고    scopus 로고
    • On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations
    • L. Formaggia, A. Moura, and F. Nobile, On the stability of the coupling of 3D and 1D fluid-structure interaction models for blood flow simulations, ESAIM Math. Model. Numer. Anal., 41 (2007), pp. 743-769.
    • (2007) ESAIM Math. Model. Numer. Anal. , vol.41 , pp. 743-769
    • Formaggia, L.1    Moura, A.2    Nobile, F.3
  • 20
    • 0032650723 scopus 로고    scopus 로고
    • A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements
    • L. Formaggia and F. Nobile, A stability analysis for the arbitrary Lagrangian Eulerian formulation with finite elements, East-West J. Numer. Math., 7 (1999), pp. 105-131.
    • (1999) East-West J. Numer. Math. , vol.7 , pp. 105-131
    • Formaggia, L.1    Nobile, F.2
  • 22
    • 84879704484 scopus 로고    scopus 로고
    • On the physical consistency between threedimensional and one-dimensional models in haemodynamics
    • to appear
    • L. Formaggia, A. Quarteroni, and C. Vergara, On the physical consistency between threedimensional and one-dimensional models in haemodynamics, J. Comput. Phys., (2012), to appear.
    • (2012) J. Comput. Phys.
    • Formaggia, L.1    Quarteroni, A.2    Vergara, C.3
  • 23
    • 79251529211 scopus 로고    scopus 로고
    • Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems
    • L. Gerardo-Giorda, F. Nobile, and C. Vergara, Analysis and optimization of Robin-Robin partitioned procedures in fluid-structure interaction problems, SIAM J. Numer. Anal., 48 (2010), pp. 2091-2116.
    • (2010) SIAM J. Numer. Anal. , vol.48 , pp. 2091-2116
    • Gerardo-Giorda, L.1    Nobile, F.2    Vergara, C.3
  • 24
    • 49149085723 scopus 로고    scopus 로고
    • Outflow boundary conditions for arterial networks with multiple outlets
    • L. Grinberg and G. E. Karniadakis, Outflow boundary conditions for arterial networks with multiple outlets, Ann. Biomed. Eng., 36 (2008), pp. 1496-1514.
    • (2008) Ann. Biomed. Eng. , vol.36 , pp. 1496-1514
    • Grinberg, L.1    Karniadakis, G.E.2
  • 25
    • 0029777695 scopus 로고    scopus 로고
    • Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations
    • J. G. Heywood, R. Rannacher, and S. Turek, Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids, 22 (1996), pp. 325-352.
    • (1996) Int. J. Numer. Methods Fluids , vol.22 , pp. 325-352
    • Heywood, J.G.1    Rannacher, R.2    Turek, S.3
  • 28
    • 80052253287 scopus 로고    scopus 로고
    • Partitioned analysis for dimensionallyheterogeneous hydraulic networks
    • J. S. Leiva, P. J. Blanco, and G. C. Buscaglia, Partitioned analysis for dimensionallyheterogeneous hydraulic networks, Multiscale Model. Simul., 9 (2011), pp. 872-903.
    • (2011) Multiscale Model. Simul. , vol.9 , pp. 872-903
    • Leiva, J.S.1    Blanco, P.J.2    Buscaglia, G.C.3
  • 31
    • 84862266042 scopus 로고    scopus 로고
    • A two-level time step technique for the partitioned solution of one-dimensional arterial networks
    • A. C. I. Malossi, P. J. Blanco, and S. Deparis, A two-level time step technique for the partitioned solution of one-dimensional arterial networks, Comput. Methods Appl. Mech. Engrg., 237-240 (2012), pp. 212-226.
    • (2012) Comput. Methods Appl. Mech. Engrg. , vol.237-240 , pp. 212-226
    • Malossi, A.C.I.1    Blanco, P.J.2    Deparis, S.3
  • 32
    • 82255191801 scopus 로고    scopus 로고
    • Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows
    • A. C. I. Malossi, P. J. Blanco, S. Deparis, and A. Quarteroni, Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows, Int. J. Numer. Methods Biomed. Engrg., 27 (2011), pp. 2035-2057.
    • (2011) Int. J. Numer. Methods Biomed. Engrg. , vol.27 , pp. 2035-2057
    • Malossi, A.C.I.1    Blanco, P.J.2    Deparis, S.3    Quarteroni, A.4
  • 33
    • 0037401770 scopus 로고    scopus 로고
    • Partitioned strong coupling algorithms for fluid-structure interaction
    • H. G. Matthies and J. Steindorf, Partitioned strong coupling algorithms for fluid-structure interaction, Comput. & Structures, 81 (2003), pp. 805-812.
    • (2003) Comput. & Structures , vol.81 , pp. 805-812
    • Matthies, H.G.1    Steindorf, J.2
  • 35
    • 44649201252 scopus 로고    scopus 로고
    • An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions
    • F. Nobile and C. Vergara, An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions, SIAM J. Sci. Comput., 30 (2008), pp. 731-763.
    • (2008) SIAM J. Sci. Comput. , vol.30 , pp. 731-763
    • Nobile, F.1    Vergara, C.2
  • 38
    • 0008787856 scopus 로고
    • Numerical solution of the incompressible Navier-Stokes Equations
    • Birkhauser-Verlag, Basel
    • L. Quartapelle, Numerical Solution of the Incompressible Navier-Stokes Equations, Internat. Ser. Numer. Math. 113, Birkh?auser-Verlag, Basel, 1993.
    • (1993) Internat. Ser. Numer. Math. , vol.113
    • Quartapelle, L.1
  • 40
    • 85006589834 scopus 로고    scopus 로고
    • Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations
    • A. Quarteroni and A. Veneziani, Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations, Multiscale Model. Simul., 1 (2003), pp. 173-195.
    • (2003) Multiscale Model. Simul. , vol.1 , pp. 173-195
    • Quarteroni, A.1    Veneziani, A.2
  • 42
    • 0344785789 scopus 로고    scopus 로고
    • One-dimensional modelling of a vascular network in space-time variables
    • S. J. Sherwin, V. Franke, J. Peir'o, and K. Parker, One-dimensional modelling of a vascular network in space-time variables, J. Engrg. Math., 47 (2003), pp. 217-250.
    • (2003) J. Engrg. Math. , vol.47 , pp. 217-250
    • Sherwin, S.J.1    Franke J, V.2    Peir'o3    Parker, K.4
  • 43
    • 33745390125 scopus 로고    scopus 로고
    • Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations
    • T. E. Tezduyar, S. Sathe, and K. Stein, Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations, Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 5743-5753.
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 5743-5753
    • Tezduyar, T.E.1    Sathe, S.2    Stein, K.3
  • 44
    • 33645906891 scopus 로고    scopus 로고
    • Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
    • I. E. Vignon-Clementel, C. A. Figueroa, K. E. Jansen, and C. A. Taylor, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries, Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 3776-3796.
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 3776-3796
    • Vignon-Clementel, I.E.1    Figueroa, C.A.2    Jansen, K.E.3    Taylor, C.A.4


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