메뉴 건너뛰기




Volumn 9, Issue 2, 2011, Pages 872-903

Partitioned analysis for dimensionally-heterogeneous hydraulic networks

Author keywords

Dimensionally heterogeneous models; Domain decomposition; Incompressible flows; Partitioned analysis; Strong coupling

Indexed keywords

BLACK BOXES; COMPLEX NETWORKS; DIMENSIONALLY-HETEROGENEOUS MODELS; DOMAIN DECOMPOSITIONS; HETEROGENEOUS MODELS; HYDRAULIC NETWORKS; INTERFACE PROBLEMS; ITERATIVE STRATEGY; NON-LINEAR SOLVER; PARTITIONED ANALYSIS; SIMPLIFIED MODELS; STRONG COUPLING; TRANSIENT FLOW;

EID: 80052253287     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/100809301     Document Type: Article
Times cited : (24)

References (22)
  • 1
    • 1642602545 scopus 로고    scopus 로고
    • Substructuring preconditioners for the three fields domain decomposition method
    • DOI 10.1090/S0025-5718-03-01550-3, PII S0025571803015503
    • S. BERTOLUZZA, Substructuring preconditioners for the three fields domain decomposition method, Math. Comp., 73 (2004), pp. 659-689. (Pubitemid 38411441)
    • (2004) Mathematics of Computation , vol.73 , Issue.246 , pp. 659-689
    • Bertoluzza, S.1
  • 2
    • 34547697707 scopus 로고    scopus 로고
    • A unified variational approach for coupling 3D-1D models and its blood flow applications
    • DOI 10.1016/j.cma.2007.05.008, PII S0045782507002010
    • P. J. BLANCO, R. A. FEIJÓO, 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. (Pubitemid 47207766)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.41-44 , pp. 4391-4410
    • Blanco, P.J.1    Feijoo, R.A.2    Urquiza, S.A.3
  • 3
    • 78751646122 scopus 로고    scopus 로고
    • Black-box decomposition approach for computational hemodynamics: One-dimensional models
    • P. J. BLANCO, J. S. LEIVA, AND G. C. BUSCAGLIA, Black-box decomposition approach for computational hemodynamics: One-dimensional models, Comput. Methods Appl. Mech. Engrg., 200 (2011), pp. 1389-1405.
    • (2011) Comput. Methods Appl. Mech. Engrg. , vol.200 , pp. 1389-1405
    • Blanco, P.J.1    Leiva, J.S.2    Buscaglia, G.C.3
  • 4
    • 64749095661 scopus 로고    scopus 로고
    • On the potentialities of 3D-1D coupled models in hemodynamics simulations
    • P. J. BLANCO, M. R. PIVELLO, S. A. URQUIZA, AND R. A. FEIJÓO, On the potentialities of 3D-1D coupled models in hemodynamics simulations, J. Biomech., 42 (2009), pp. 919-930.
    • (2009) J. Biomech. , vol.42 , pp. 919-930
    • Blanco, P.J.1    Pivello, M.R.2    Urquiza, S.A.3    Feijóo, R.A.4
  • 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. FEIJÓO, Assessing the influence of heart rate in local hemodynamics through coupled 3D-1D-0D models, Int. J. Num. Meth. Biomed. Engng., 26 (2010), pp. 890-903.
    • (2010) Int. J. Num. Meth. Biomed. Engng. , vol.26 , pp. 890-903
    • Blanco, P.J.1    Urquiza, S.A.2    Feijóo, R.A.3
  • 6
    • 0000389065 scopus 로고
    • A three-field domain decomposition method
    • Domain Decomposition Methods in Science and Engineering, A. Quarteroni, J. Périaux, Y. A. Kuznetsov, and O. B. Widlund, eds., American Mathematical Society, Providence, RI
    • F. BREZZI AND D.MARINI, A three-field domain decomposition method, in Domain Decomposition Methods in Science and Engineering, Contemp. Math. 157, A. Quarteroni, J. Périaux, Y. A. Kuznetsov, and O. B. Widlund, eds., American Mathematical Society, Providence, RI, 1994, pp. 27-34.
    • (1994) Contemp. Math. , vol.157 , pp. 27-34
    • Brezzi, F.1    Marini, D.2
  • 7
    • 0035976010 scopus 로고    scopus 로고
    • Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection
    • DOI 10.1002/fld.182
    • R. CODINA, J. BLASCO, G. C. BUSCAGLIA, AND A. HUERTA, Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equation based on a pressure gradient projection, Internat. J. Numer. Methods Fluids, 37 (2001), pp. 419-444. (Pubitemid 32974596)
    • (2001) International Journal for Numerical Methods in Fluids , vol.37 , Issue.4 , pp. 419-444
    • Codina, R.1    Blasco, J.2    Buscaglia, G.C.3    Huerta, A.4
  • 8
    • 0035824658 scopus 로고    scopus 로고
    • On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels
    • DOI 10.1016/S0045-7825(01)00302-4, PII S0045782501003024, Minisymposium on Methods for Flow Simulation and Modeling
    • 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. (Pubitemid 34004491)
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.191 , Issue.6-7 , pp. 561-582
    • Formaggia, L.1    Gerbeau, J.F.2    Nobile, F.3    Quarteroni, A.4
  • 9
    • 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
  • 10
    • 78651383712 scopus 로고    scopus 로고
    • Multiscale modelling of the circulatory system: A preliminary analysis
    • L. FORMAGGIA, F. NOBILE, A. QUARTERONI, AND A. VENEZIANI, Multiscale modelling of the circulatory system: A preliminary analysis, Comput. Vis. Sci., 2 (1999), pp. 75-83.
    • (1999) Comput. Vis. Sci. , vol.2 , pp. 75-83
    • Formaggia, L.1    Nobile, F.2    Quarteroni, A.3    Veneziani, A.4
  • 11
    • 73449090109 scopus 로고    scopus 로고
    • Flow rate boundary problems for an incompressible fluid in deformable domains: Formulations and solution methods
    • L. FORMAGGIA, A. VENEZIANI, AND C. VERGARA, Flow rate boundary problems for an incompressible fluid in deformable domains: Formulations and solution methods, Comput. Methods Appl. Mech. Engrg., 199 (2010), pp. 677-688.
    • (2010) Comput. Methods Appl. Mech. Engrg. , vol.199 , pp. 677-688
    • Formaggia, L.1    Veneziani, A.2    Vergara, C.3
  • 12
    • 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, Internat. J. Numer. Methods Fluids, 22 (1996), pp. 325-352.
    • (1996) Internat. J. Numer. Methods Fluids , vol.22 , pp. 325-352
    • Heywood, J.G.1    Rannacher, R.2    Turek, S.3
  • 13
    • 0002914778 scopus 로고
    • Iterative methods for linear and nonlinear equations
    • SIAM, Philadelphia
    • C. T. KELLEY, Iterative Methods for Linear and Nonlinear Equations, Frontiers Appl. Math. 16, SIAM, Philadelphia, 1995.
    • (1995) Frontiers Appl. Math. , vol.16
    • Kelley, C.T.1
  • 16
    • 84892367203 scopus 로고    scopus 로고
    • Coupling between lumped and distributed models for blood flow problems
    • A. QUARTERONI, S. RAGNI, AND A. VENEZIANI, Coupling between lumped and distributed models for blood flow problems, Comput. Vis. Sci., 4 (2001), pp. 111-124.
    • (2001) Comput. Vis. Sci. , vol.4 , pp. 111-124
    • Quarteroni, A.1    Ragni, S.2    Veneziani, A.3
  • 17
    • 77649233151 scopus 로고    scopus 로고
    • Modeling and simulation of blood flow problems
    • Lions et al. eds. John Wiley and Sons, New York
    • A. QUARTERONI AND A. VENEZIANI, Modeling and simulation of blood flow problems, in Computational Science for 21st Century, Lions et al., eds., John Wiley and Sons, New York, 1997, pp. 339-350.
    • (1997) Computational Science for 21st Century , pp. 339-350
    • Quarteroni, A.1    Veneziani, A.2
  • 18
    • 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
  • 20
    • 15744381688 scopus 로고    scopus 로고
    • Flow rate defective boundary conditions in haemodynamics simulations
    • DOI 10.1002/fld.843, 8th Conference on Numerical Methods for Fluid Dynamics: Part 1
    • A. VENEZIANI AND C. VERGARA, Flow rate defective boundary conditions in haemodynamics simulations, Internat. J. Numer. Methods Fluids, 47 (2005), pp. 803-816. (Pubitemid 40413115)
    • (2005) International Journal for Numerical Methods in Fluids , vol.47 , Issue.8-9 , pp. 803-816
    • Veneziani, A.1    Vergara, C.2
  • 21
    • 33845710153 scopus 로고    scopus 로고
    • An approximate method for solving incompressible Navier-Stokes problems with flow rate conditions
    • DOI 10.1016/j.cma.2006.09.011, PII S0045782506003021
    • A. VENEZIANI AND C. VERGARA, An approximate method for solving incompressible Navier-Stokes problems with flow rate conditions, Comput. Methods Appl. Mech. Engrg., 196 (2007), pp. 1685-1700. (Pubitemid 44961720)
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.9-12 , pp. 1685-1700
    • Veneziani, A.1    Vergara, C.2
  • 22
    • 33645906891 scopus 로고    scopus 로고
    • Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure waves in arteries
    • I. E. VIGNON-CLEMENTEL, C. A. FIGUEIROA, K. E. JANSEN, AND C. A. TAYLOR, Outflow boundary conditions for three-dimensional finite element modeling of blood flow and pressure waves in arteries, Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 3776-3996.
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 3776-3996
    • Vignon-Clementel, I.E.1    Figueiroa, C.A.2    Jansen, K.E.3    Taylor, C.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.