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Volumn 52, Issue 5, 2013, Pages 1141-1152

A new preconditioning technique for implicitly coupled multidomain simulations with applications to hemodynamics

Author keywords

Blood flow simulation; Boundary conditions; Finite elements; Linear solver; Lumped parameter network; Multiscale; Navier Stokes equations; Preconditioner

Indexed keywords

BLOOD; BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; FLOW SIMULATION; HEMODYNAMICS; ITERATIVE METHODS; LINEAR SYSTEMS; LUMPED PARAMETER NETWORKS;

EID: 84882340420     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-013-0868-1     Document Type: Article
Times cited : (104)

References (43)
  • 1
    • 35348895586 scopus 로고    scopus 로고
    • Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
    • Bazilevs Y, Calo VM, Cottrell JA, Hughes TJR, Reali A, Scovazzi S (2007) Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows. Comput Methods Appl Mech Eng 197(1-4):173-201
    • (2007) Comput Methods Appl Mech Eng , vol.197 , Issue.1-4 , pp. 173-201
    • Bazilevs, Y.1    Calo, V.M.2    Cottrell, J.A.3    Hughes, T.J.R.4    Reali, A.5    Scovazzi, S.6
  • 2
    • 67649770719 scopus 로고    scopus 로고
    • Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device
    • Bazilevs Y, Gohean JR, Hughes TJR, Moser RD, Zhang Y (2009) Patient-specific isogeometric fluid-structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device. Comput Methods Appl Mech Eng 198(45-46):3534-3550
    • (2009) Comput Methods Appl Mech Eng , vol.198 , Issue.45-46 , pp. 3534-3550
    • Bazilevs, Y.1    Gohean, J.R.2    Hughes, T.J.R.3    Moser, R.D.4    Zhang, Y.5
  • 4
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks AN, Hughes TJR (1982) Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 32(1-3):199-259
    • (1982) Comput Methods Appl Mech Eng , vol.32 , Issue.1-3 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 6
    • 0023344944 scopus 로고
    • Nonlinear preconditioned conjugate gradient and least-squares finite elements
    • Carey GF, Jiang B-N (1987) Nonlinear preconditioned conjugate gradient and least-squares finite elements. Comput Methods Appl Mech Eng 62(2):145-154
    • (1987) Comput Methods Appl Mech Eng , vol.62 , Issue.2 , pp. 145-154
    • Carey, G.F.1    Jiang, B.-N.2
  • 7
    • 80052689076 scopus 로고    scopus 로고
    • A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations
    • Esmaily-MoghadamM, Bazilevs Y, Hsia TY, Vignon-Clementel I, Marsden AL (2011) A comparison of outlet boundary treatments for prevention of backflow divergence with relevance to blood flow simulations. Comput Mech 48(3):277-291
    • (2011) Comput Mech , vol.48 , Issue.3 , pp. 277-291
    • Esmaily-Moghadam, M.1    Bazilevs, Y.2    Hsia, T.Y.3    Vignon-Clementel, I.4    Marsden, A.L.5
  • 9
    • 84878473416 scopus 로고    scopus 로고
    • A modular numerical method for implicit 0D/3D coupling in cardiovascular finite element simulations
    • doi:10.1016/j.jcp.2012.07.035
    • Esmaily-Moghadam M, Vignon-Clementel IE, Figliola R, Marsden AL (2012) A modular numerical method for implicit 0D/3D coupling in cardiovascular finite element simulations. J Comput Phys. doi:10.1016/j.jcp.2012.07.035
    • J Comput Phys. , vol.2012
    • Esmaily-Moghadam, M.1    Vignon-Clementel, I.E.2    Figliola, R.3    Marsden, A.L.4
  • 10
    • 0039776178 scopus 로고    scopus 로고
    • Projection techniques for iterative solution of Ax=b with successive right-hand sides
    • Fischer PF (1998) Projection techniques for iterative solution of Ax=b with successive right-hand sides. Comput Methods Appl Mech Eng 163(1):193-204
    • (1998) Comput Methods Appl Mech Eng , vol.163 , Issue.1 , pp. 193-204
    • Fischer, P.F.1
  • 11
    • 0026928030 scopus 로고
    • Stabilized finite element methods: II. The incompressible Navier-Stokes equations
    • Franca LP, Frey SL (1992) Stabilized finite element methods: II. The incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 99(2-3):209-233
    • (1992) Comput Methods Appl Mech Eng , vol.99 , Issue.2-3 , pp. 209-233
    • Franca, L.P.1    Frey, S.L.2
  • 12
    • 0034287408 scopus 로고    scopus 로고
    • Ageneralized-[alpha] method for integrating the filtered Navier-Stokes equations with a stabilized finite element method
    • Jansen KE,Whiting CH,HulbertGM(2000)Ageneralized-[alpha] method for integrating the filtered Navier-Stokes equations with a stabilized finite element method. Comput Methods Appl Mech Eng 190(3-4):305-319
    • (2000) Comput Methods Appl Mech Eng , vol.190 , Issue.3-4 , pp. 305-319
    • Jansen, K.E.1    Whiting, C.H.2    Hulbert, G.M.3
  • 14
    • 84878492365 scopus 로고    scopus 로고
    • A bidirectional coupling procedure applied to multiscale respiratory modeling
    • doi:10.1016/j.jcp.2012.10.021
    • Kuprat AP,Kabilan S, Carson JP,CorleyRA, EinsteinDR(2012)A bidirectional coupling procedure applied to multiscale respiratory modeling. J Comput Phys. doi:10.1016/j.jcp.2012.10.021
    • (2012) J Comput Phys.
    • Kuprat, A.P.1    Kabilan, S.2    Carson, J.P.3    Corley, R.A.4    Einstein, D.R.5
  • 15
    • 15944387330 scopus 로고    scopus 로고
    • Multiscale modeling of the cardiovascular system: Application to the study of pulmonary and coronary perfusions in the univentricular circulation
    • Lagana K, Balossino R, Migliavacca F, Pennati G, Bove EL, de LevalMR, Dubini G (2005) Multiscale modeling of the cardiovascular system: application to the study of pulmonary and coronary perfusions in the univentricular circulation. JBiomech 38(5):1129-1141
    • (2005) JBiomech , vol.38 , Issue.5 , pp. 1129-1141
    • Lagana, K.1    Balossino, R.2    Migliavacca, F.3    Pennati, G.4    Bove, E.L.5    De Leval, M.R.6    Dubini, G.7
  • 16
    • 77951768450 scopus 로고    scopus 로고
    • Preconditioning techniques for nonsymmetric linear systems in the computation of incompressible flows
    • Manguoglu M, Sameh AH, Saied F, Tezduyar TE, Sathe S (2009) Preconditioning techniques for nonsymmetric linear systems in the computation of incompressible flows. J Appl Mech 76(2): 021204
    • (2009) J Appl Mech , vol.76 , Issue.2 , pp. 021204
    • Manguoglu, M.1    Sameh, A.H.2    Saied, F.3    Tezduyar, T.E.4    Sathe, S.5
  • 17
    • 52549104060 scopus 로고    scopus 로고
    • A nested iterative scheme for computation of incompressible flows in long domains
    • Manguoglu M, Sameh AH, Tezduyar TE, Sathe S (2008) A nested iterative scheme for computation of incompressible flows in long domains. Comput Mech 43(1):73-80
    • (2008) Comput Mech , vol.43 , Issue.1 , pp. 73-80
    • Manguoglu, M.1    Sameh, A.H.2    Tezduyar, T.E.3    Sathe, S.4
  • 18
    • 77951766820 scopus 로고    scopus 로고
    • Solution of linear systems in arterial fluidmechanics computations with boundary layer mesh refinement
    • ManguogluM, TakizawaK, Sameh AH, Tezduyar TE (2010) Solution of linear systems in arterial fluidmechanics computations with boundary layer mesh refinement. Comput Mech 46(1):83-89
    • (2010) Comput Mech , vol.46 , Issue.1 , pp. 83-89
    • Manguoglu, M.1    Takizawa, K.2    Sameh, A.H.3    Tezduyar, T.E.4
  • 19
    • 78650338651 scopus 로고    scopus 로고
    • Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement
    • Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2011) Nested and parallel sparse algorithms for arterial fluid mechanics computations with boundary layer mesh refinement. Int J Numer Methods Fluids 65(1-3):135-149
    • (2011) Int J Numer Methods Fluids , vol.65 , Issue.1-3 , pp. 135-149
    • Manguoglu, M.1    Takizawa, K.2    Sameh, A.H.3    Tezduyar, T.E.4
  • 20
    • 80052649239 scopus 로고    scopus 로고
    • A parallel sparse algorithm targeting arterial fluid mechanics computations
    • Manguoglu M, Takizawa K, Sameh AH, Tezduyar TE (2011) A parallel sparse algorithm targeting arterial fluid mechanics computations. Comput Mech 48(3):377-384
    • (2011) Comput Mech , vol.48 , Issue.3 , pp. 377-384
    • Manguoglu, M.1    Takizawa, K.2    Sameh, A.H.3    Tezduyar, T.E.4
  • 22
    • 0032473210 scopus 로고    scopus 로고
    • Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations
    • Nigro N, Storti M, Idelsohn S, Tezduyar T (1998) Physics based GMRES preconditioner for compressible and incompressible Navier-Stokes equations. Comput Methods Appl Mech Eng 154(3):203-228
    • (1998) Comput Methods Appl Mech Eng , vol.154 , Issue.3 , pp. 203-228
    • Nigro, N.1    Storti, M.2    Idelsohn, S.3    Tezduyar, T.4
  • 25
    • 47949114719 scopus 로고    scopus 로고
    • The simbios national center: Systems biology in motion
    • secial issue on comutational system biology
    • Schmidt JP, Delp SL, Sherman MA, Taylor CA, Pande VS, Altman RB (2008) The Simbios National Center: systems biology in motion. Proc IEEE 96(8):1266-1280 special issue on computational system biology
    • (2008) Proc IEEE , vol.96 , Issue.8 , pp. 1266-1280
    • Schmidt, J.P.1    Delp, S.L.2    Sherman, M.A.3    Taylor, C.A.4    Pande, V.S.5    Altman, R.B.6
  • 27
    • 0024752479 scopus 로고
    • A multi-element group preconditioned gmres algorithm for nonsymmetric systems arising in finite element analysis
    • Shakib F, Hughes TJR, Johan Z (1989) A multi-element group preconditioned gmres algorithm for nonsymmetric systems arising in finite element analysis. Comput Methods Appl Mech Eng 75 (1-3):415-456
    • (1989) Comput Methods Appl Mech Eng , vol.75 , Issue.1-3 , pp. 415-456
    • Shakib, F.1    Hughes, T.J.R.2    Johan, Z.3
  • 28
    • 0000905617 scopus 로고
    • Adjustment of an inverse matrix corresponding to a change in one element of a given matrix
    • Sherman J, Morrison WJ (1950) Adjustment of an inverse matrix corresponding to a change in one element of a given matrix. Ann Math Stat 21(1):124-127
    • (1950) Ann Math Stat , vol.21 , Issue.1 , pp. 124-127
    • Sherman, J.1    Morrison, W.J.2
  • 29
    • 77956849889 scopus 로고
    • Stabilized finite element formulations for incompressible flow computations
    • Tezduyar TE (1992) Stabilized finite element formulations for incompressible flow computations. Adv Appl Mech 28:1-44
    • (1992) Adv Appl Mech , vol.28 , pp. 1-44
    • Tezduyar, T.E.1
  • 30
    • 0242338413 scopus 로고    scopus 로고
    • Computation of moving boundaries and interfaces and stabilization parameters
    • Tezduyar TE (2003) Computation of moving boundaries and interfaces and stabilization parameters. Int J Numer Methods Fluids 43(5):555-575
    • (2003) Int J Numer Methods Fluids , vol.43 , Issue.5 , pp. 555-575
    • Tezduyar, T.E.1
  • 32
    • 0024665549 scopus 로고
    • Grouped element-by-element iteration schemes for incompressible flow computations
    • Tezduyar TE, Liou J (1989) Grouped element-by-element iteration schemes for incompressible flow computations. Comput Phys Commun 53(1):441-453
    • (1989) Comput Phys Commun , vol.53 , Issue.1 , pp. 441-453
    • Tezduyar, T.E.1    Liou, J.2
  • 33
    • 0026835076 scopus 로고
    • Incompressible flow computations with stabilized bilinear and linear equal-orderinterpolation velocity-pressure elements
    • Tezduyar TE, Mittal S, Ray SE, Shih R (1992) Incompressible flow computations with stabilized bilinear and linear equal-orderinterpolation velocity-pressure elements. Comput Methods Appl Mech Eng 95(2):221-242
    • (1992) Comput Methods Appl Mech Eng , vol.95 , Issue.2 , pp. 221-242
    • Tezduyar, T.E.1    Mittal, S.2    Ray, S.E.3    Shih, R.4
  • 34
    • 30944435667 scopus 로고    scopus 로고
    • Parallel finite element computations in fluid mechanics
    • Tezduyar TE, Sameh A (2006) Parallel finite element computations in fluid mechanics. Comput Methods Appl Mech Eng 195(13):1872-1884
    • (2006) Comput Methods Appl Mech Eng , vol.195 , Issue.13 , pp. 1872-1884
    • Tezduyar, T.E.1    Sameh, A.2
  • 35
    • 1842631402 scopus 로고    scopus 로고
    • Enhanced-approximation linear solution technique (EALST)
    • Tezduyar TE, Sathe S (2004) Enhanced-approximation linear solution technique (EALST). Comput Methods Appl Mech Eng 193(21):2033-2049
    • (2004) Comput Methods Appl Mech Eng , vol.193 , Issue.21 , pp. 2033-2049
    • Tezduyar, T.E.1    Sathe, S.2
  • 36
    • 14344261846 scopus 로고    scopus 로고
    • Enhanced-discretization successive update method (EDSUM)
    • Tezduyar TE, Sathe S (2005) Enhanced-discretization successive update method (EDSUM). Int J Numer Methods Fluids 47 (6-7):633-654
    • (2005) Int J Numer Methods Fluids , vol.47 , Issue.6-7 , pp. 633-654
    • Tezduyar, T.E.1    Sathe, S.2
  • 37
    • 34347326942 scopus 로고    scopus 로고
    • Modelling of fluid-structure interactions with the space-time finite elements: Solution techniques
    • Tezduyar TE, Sathe S (2007) Modelling of fluid-structure interactions with the space-time finite elements: solution techniques. Int J Numer Methods Fluids 54(6-8):855-900
    • (2007) Int J Numer Methods Fluids , vol.54 , Issue.6-8 , pp. 855-900
    • Tezduyar, T.E.1    Sathe, S.2
  • 38
    • 0028025591 scopus 로고
    • Risk factors for hypoplastic left heart syndrome
    • Tikkanen J, Heinonen OP (1994) Risk factors for hypoplastic left heart syndrome. Teratology 50(2):112-117
    • (1994) Teratology , vol.50 , Issue.2 , pp. 112-117
    • Tikkanen, J.1    Heinonen, O.P.2
  • 40
    • 33645906891 scopus 로고    scopus 로고
    • Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries
    • Vignon-Clementel IE, Figueroa CA, Jansen KE, Taylor CA (2006) Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure in arteries. Comput Methods Appl Mech Eng 195(29-32):3776-3796
    • (2006) Comput Methods Appl Mech Eng , vol.195 , Issue.29-32 , pp. 3776-3796
    • Vignon-Clementel, I.E.1    Figueroa, C.A.2    Jansen, K.E.3    Taylor, C.A.4
  • 41
    • 77955704226 scopus 로고    scopus 로고
    • Outflow boundary conditions for three-dimensional simulations of non-periodic blood flow and pressure fields in deformable arteries
    • Vignon-Clementel IE, Figueroa CA, Jansen KE, Taylor CA (2010) Outflow boundary conditions for three-dimensional simulations of non-periodic blood flow and pressure fields in deformable arteries. Comput Methods Biomech Biomed Eng 13(5):625-640
    • (2010) Comput Methods Biomech Biomed Eng , vol.13 , Issue.5 , pp. 625-640
    • Vignon-Clementel, I.E.1    Figueroa, C.A.2    Jansen, K.E.3    Taylor, C.A.4
  • 43
    • 0035104205 scopus 로고    scopus 로고
    • A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis
    • Whiting CH, Jansen KE (2001) A stabilized finite element method for the incompressible Navier-Stokes equations using a hierarchical basis. Int J Numer Methods Fluids 35(1):93-116
    • (2001) Int J Numer Methods Fluids , vol.35 , Issue.1 , pp. 93-116
    • Whiting, C.H.1    Jansen, K.E.2


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