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Volumn 237-240, Issue , 2012, Pages 212-226

A two-level time step technique for the partitioned solution of one-dimensional arterial networks

Author keywords

Arterial network; Blood flow models; Geometrical multiscale modeling; Iterative methods; One dimensional model; Wave propagation

Indexed keywords

ARTERIAL NETWORKS; BLOOD FLOW; BLOOD FLOW MODELS; BROYDEN METHOD; COMPLIANT VESSELS; COUPLING PROBLEM; EXPLICIT FINITE ELEMENT METHOD; INTERFACE PROBLEMS; LOCAL ANALYSIS; LOCAL PROBLEMS; LOCAL STABILITY; MATERIAL PROPERTY; MODELING OF BLOOD FLOW; MULTI-SCALE MODELING; NON-UNIFORMITIES; NUMERICAL SCHEME; NUMERICAL STRATEGIES; ONE-DIMENSIONAL MODEL; PHYSICAL QUANTITIES; SPURIOUS REFLECTIONS; STRONG COUPLING; TIME STEP; TIME STEPPING TECHNIQUE;

EID: 84862266042     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2012.05.017     Document Type: Article
Times cited : (36)

References (28)
  • 1
    • 0942272695 scopus 로고
    • Principia pro motu sanguinis per arterias determinando (1775)
    • Euler L. Principia pro motu sanguinis per arterias determinando (1775). Opera posthuma mathematica et physica 1844, 2:814-823.
    • (1844) Opera posthuma mathematica et physica , vol.2 , pp. 814-823
    • Euler, L.1
  • 2
    • 0019079690 scopus 로고
    • Multi-branched model of the human arterial system
    • Avolio A.P. Multi-branched model of the human arterial system. Med. Biol. Engrg. Comput. 1980, 18(6):709-718.
    • (1980) Med. Biol. Engrg. Comput. , vol.18 , Issue.6 , pp. 709-718
    • Avolio, A.P.1
  • 3
    • 0019810163 scopus 로고
    • Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part I
    • Stettler J.C., Niederer P., Anliker M. Theoretical analysis of arterial hemodynamics including the influence of bifurcations. Part I. Ann. Biomed. Engrg. 1981, 9:145-164.
    • (1981) Ann. Biomed. Engrg. , vol.9 , pp. 145-164
    • Stettler, J.C.1    Niederer, P.2    Anliker, M.3
  • 4
    • 0027006820 scopus 로고
    • Computer simulation of arterial flow with applications to arterial and aortic stenoses
    • Stergiopulos N., Young D.F., Rogge T.R. Computer simulation of arterial flow with applications to arterial and aortic stenoses. J. Biomech. 1992, 25(12):1477-1488.
    • (1992) J. Biomech. , vol.25 , Issue.12 , pp. 1477-1488
    • Stergiopulos, N.1    Young, D.F.2    Rogge, T.R.3
  • 5
    • 84863468399 scopus 로고    scopus 로고
    • Modeling the arterial system with reference to an anesthesia simulator, Ph.D. Thesis, Roskilde University (May
    • M.S. Olufsen, Modeling the arterial system with reference to an anesthesia simulator, Ph.D. Thesis, Roskilde University (May 1998).
    • (1998)
    • Olufsen, M.S.1
  • 6
    • 0942268686 scopus 로고    scopus 로고
    • One-dimensional models for blood flow in arteries
    • Formaggia L., Lamponi D., Quarteroni A. One-dimensional models for blood flow in arteries. J. Engrg. Math. 2003, 47(3-4):251-276.
    • (2003) J. Engrg. Math. , vol.47 , Issue.3-4 , pp. 251-276
    • Formaggia, L.1    Lamponi, D.2    Quarteroni, A.3
  • 7
    • 33745193927 scopus 로고    scopus 로고
    • A closed-loop lumped parameter computational model for human cardiovascular system
    • series
    • Liang F., Liu H. A closed-loop lumped parameter computational model for human cardiovascular system. JSME Int. J. 2005, 48(4):484-493, series.
    • (2005) JSME Int. J. , vol.48 , Issue.4 , pp. 484-493
    • Liang, F.1    Liu, H.2
  • 8
    • 34247885810 scopus 로고    scopus 로고
    • Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows
    • Alastruey J., Parker K.H., Peiró J., Byrd S.M., Sherwin S.J. Modelling the circle of Willis to assess the effects of anatomical variations and occlusions on cerebral flows. J. Biomech. 2007, 40(8):1794-1805.
    • (2007) J. Biomech. , vol.40 , Issue.8 , pp. 1794-1805
    • Alastruey, J.1    Parker, K.H.2    Peiró, J.3    Byrd, S.M.4    Sherwin, S.J.5
  • 9
    • 33847288697 scopus 로고    scopus 로고
    • Model of arterial tree and peripheral control for the study of physiological and assisted circulation
    • Lanzarone E., Liani P., Baselli G., Constantino M.L. Model of arterial tree and peripheral control for the study of physiological and assisted circulation. Med. Engrg. Phys. 2007, 29(5):542-555.
    • (2007) Med. Engrg. Phys. , vol.29 , Issue.5 , pp. 542-555
    • Lanzarone, E.1    Liani, P.2    Baselli, G.3    Constantino, M.L.4
  • 11
    • 78751646122 scopus 로고    scopus 로고
    • Black-box decomposition approach for computational hemodynamics: one-dimensional models
    • Blanco P.J., Leiva J.S., Feijóo R.A., Buscaglia G.C. Black-box decomposition approach for computational hemodynamics: one-dimensional models. Comput. Methodsss Appl. Mech. Engrg. 2011, 200(13-16):1389-1405.
    • (2011) Comput. Methodsss Appl. Mech. Engrg. , vol.200 , Issue.13-16 , pp. 1389-1405
    • Blanco, P.J.1    Leiva, J.S.2    Feijóo, R.A.3    Buscaglia, G.C.4
  • 13
    • 75649108203 scopus 로고    scopus 로고
    • Iterative strong coupling of dimensionally-heterogeneous models
    • Leiva J.S., Blanco P.J., Buscaglia G.C. Iterative strong coupling of dimensionally-heterogeneous models. Int. J. Numer. Methods Engrg. 2010, 81(12):1558-1580.
    • (2010) Int. J. Numer. Methods Engrg. , vol.81 , Issue.12 , pp. 1558-1580
    • Leiva, J.S.1    Blanco, P.J.2    Buscaglia, G.C.3
  • 14
    • 82255191801 scopus 로고    scopus 로고
    • Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows
    • Malossi A.C.I., Blanco P.J., Deparis S., Quarteroni A. Algorithms for the partitioned solution of weakly coupled fluid models for cardiovascular flows. Int. J. Numer. Methods Biomed. Engrg. 2011, 27(12):2035-2057.
    • (2011) Int. J. Numer. Methods Biomed. Engrg. , vol.27 , Issue.12 , pp. 2035-2057
    • Malossi, A.C.I.1    Blanco, P.J.2    Deparis, S.3    Quarteroni, A.4
  • 15
    • 80052253287 scopus 로고    scopus 로고
    • Partitioned analysis for dimensionally-heterogeneous hydraulic networks
    • Leiva J.S., Blanco P.J., Buscaglia G.C. Partitioned analysis for dimensionally-heterogeneous hydraulic networks. SIAM J. Multiscale Model. Simul. 2011, 9(2):872-903.
    • (2011) SIAM J. Multiscale Model. Simul. , vol.9 , Issue.2 , pp. 872-903
    • Leiva, J.S.1    Blanco, P.J.2    Buscaglia, G.C.3
  • 16
    • 0015958438 scopus 로고
    • Nonlinear wave propagation in viscoelastic tubes: application to aortic rupture
    • Kivity Y., Collins R. Nonlinear wave propagation in viscoelastic tubes: application to aortic rupture. J. Biomech. 1974, 7(1):67-76.
    • (1974) J. Biomech. , vol.7 , Issue.1 , pp. 67-76
    • Kivity, Y.1    Collins, R.2
  • 18
    • 79960746471 scopus 로고    scopus 로고
    • Pulse wave propagation in a model human arterial network: assessment of 1-D visco-elastic simulations against in vitro measurements
    • Alastruey J., Khir A.W., Matthys K.S., Segers P., Sherwin S.J., Verdonck P.R., Parker K.H., Peiró J. Pulse wave propagation in a model human arterial network: assessment of 1-D visco-elastic simulations against in vitro measurements. J. Biomech. 2011, 44(12):2250-2258.
    • (2011) J. Biomech. , vol.44 , Issue.12 , pp. 2250-2258
    • Alastruey, J.1    Khir, A.W.2    Matthys, K.S.3    Segers, P.4    Sherwin, S.J.5    Verdonck, P.R.6    Parker, K.H.7    Peiró, J.8
  • 19
    • 0036302210 scopus 로고    scopus 로고
    • An anatomically based model of coronary blood flow and myocardial mechanics
    • Smith N.P., Pullan A.J., Hunter P.J. An anatomically based model of coronary blood flow and myocardial mechanics. SIAM J. Appl. Math. 2002, 62(2):990-1018.
    • (2002) SIAM J. Appl. Math. , vol.62 , Issue.2 , pp. 990-1018
    • Smith, N.P.1    Pullan, A.J.2    Hunter, P.J.3
  • 20
    • 85006589834 scopus 로고    scopus 로고
    • Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations
    • Quarteroni A., Veneziani A. Analysis of a geometrical multiscale model based on the coupling of ODEs and PDEs for blood flow simulations. SIAM J. Multiscale Model. Simul. 2003, 1(2):173-195.
    • (2003) SIAM J. Multiscale Model. Simul. , vol.1 , Issue.2 , pp. 173-195
    • Quarteroni, A.1    Veneziani, A.2
  • 21
    • 13244259750 scopus 로고    scopus 로고
    • Modelling of Living Systems
    • Elsevier, Chapter Mathematical Modelling and Numerical Simulation of the Cardiovascular System
    • Quarteroni A., Formaggia L. Modelling of Living Systems. Handbook of Numerical Analysis Series 2003, Elsevier, Chapter Mathematical Modelling and Numerical Simulation of the Cardiovascular System.
    • (2003) Handbook of Numerical Analysis Series
    • Quarteroni, A.1    Formaggia, L.2
  • 22
    • 34547697707 scopus 로고    scopus 로고
    • A unified variational approach for coupling 3D-1D models and its blood flow applications
    • Blanco P.J., Feijóo R.A., Urquiza S.A. A unified variational approach for coupling 3D-1D models and its blood flow applications. Comput. Methods Appl. Mech. Engrg. 2007, 196(41-44):4391-4410.
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , Issue.41-44 , pp. 4391-4410
    • Blanco, P.J.1    Feijóo, R.A.2    Urquiza, S.A.3
  • 23
    • 0344785789 scopus 로고    scopus 로고
    • One-dimensional modelling of a vascular network in space-time variables
    • Sherwin S.J., Franke V., Peiró J., Parker K. One-dimensional modelling of a vascular network in space-time variables. J. Engrg. Math. 2003, 47(3):217-250.
    • (2003) J. Engrg. Math. , vol.47 , Issue.3 , pp. 217-250
    • Sherwin, S.J.1    Franke, V.2    Peiró, J.3    Parker, K.4
  • 24
    • 84863447463 scopus 로고
    • Les pertes de charge dans les écoulements au travers de branchements en té, Technical Report 10, Bulletin Technique de la Suisse Romande
    • A. Gardel, Les pertes de charge dans les écoulements au travers de branchements en té, Technical Report 10, Bulletin Technique de la Suisse Romande, 1957.
    • (1957)
    • Gardel, A.1
  • 25
    • 35448940127 scopus 로고    scopus 로고
    • Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulations against in vitro measurements
    • Matthys K.S., Alastruey J., Peiró J., Khir A.W., Segers P., Verdonck P.R., Parker K.H., Sherwin S.J. Pulse wave propagation in a model human arterial network: assessment of 1-D numerical simulations against in vitro measurements. J. Biomech. 2007, 40(15):3476-3486.
    • (2007) J. Biomech. , vol.40 , Issue.15 , pp. 3476-3486
    • Matthys, K.S.1    Alastruey, J.2    Peiró, J.3    Khir, A.W.4    Segers, P.5    Verdonck, P.R.6    Parker, K.H.7    Sherwin, S.J.8
  • 26
    • 0008787856 scopus 로고
    • Numerical Solution of the Incompressible Navier-Stokes Equations
    • Birkhäuser Verlag, Basel
    • Quartapelle L. Numerical Solution of the Incompressible Navier-Stokes Equations. International Series of Numerical Mathematics 1993, 113. Birkhäuser Verlag, Basel.
    • (1993) International Series of Numerical Mathematics , vol.113
    • Quartapelle, L.1
  • 27
    • 0002914778 scopus 로고
    • Iterative Methods for Linear and Nonlinear Equations
    • SIAM
    • Kelley C.T. Iterative Methods for Linear and Nonlinear Equations. Frontiers in Applied Mathematics 1995, SIAM.
    • (1995) Frontiers in Applied Mathematics
    • Kelley, C.T.1
  • 28
    • 34447559790 scopus 로고    scopus 로고
    • A hybrid one-dimensional/womersley model of pulsatile blood flow in the entire coronary arterial tree
    • Huo Y., Kassab G.S. A hybrid one-dimensional/womersley model of pulsatile blood flow in the entire coronary arterial tree. Am. J. Physiol. Heart Circ. Physiol. 2007, 292(6):H2623-H2633.
    • (2007) Am. J. Physiol. Heart Circ. Physiol. , vol.292 , Issue.6
    • Huo, Y.1    Kassab, G.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.