메뉴 건너뛰기




Volumn 198, Issue 5-8, 2009, Pages 766-784

Stabilization of explicit coupling in fluid-structure interaction involving fluid incompressibility

Author keywords

Added mass effect; Defect correction method; Explicit coupling; Fluid incompressibility; Fluid structure interaction; Loosely coupled schemes; Nitsche's method; Time discretization

Indexed keywords

ELECTROMAGNETIC WAVE ATTENUATION; FLOW INTERACTIONS; FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NON NEWTONIAN FLOW;

EID: 58149151081     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.10.012     Document Type: Article
Times cited : (165)

References (40)
  • 1
    • 44649093246 scopus 로고    scopus 로고
    • Fluid-structure partitioned procedures based on Robin transmission conditions
    • Badia S., Nobile F., and Vergara C. Fluid-structure partitioned procedures based on Robin transmission conditions. J. Comput. Phys. 227 (2008) 7027-7051
    • (2008) J. Comput. Phys. , vol.227 , pp. 7027-7051
    • Badia, S.1    Nobile, F.2    Vergara, C.3
  • 2
    • 2342565951 scopus 로고    scopus 로고
    • Finite element developments for general fluid flows with structural interactions
    • Bathe K.J., and Zhang H. Finite element developments for general fluid flows with structural interactions. Int. J. Numer. Methods Engrg. (2004)
    • (2004) Int. J. Numer. Methods Engrg.
    • Bathe, K.J.1    Zhang, H.2
  • 3
    • 0038682938 scopus 로고    scopus 로고
    • A finite element method for domain decomposition with non-matching grids
    • Becker R., Hansbo P., and Stenberg R. A finite element method for domain decomposition with non-matching grids. M2AN Math. Model. Numer. Anal. 37 2 (2003) 209-225
    • (2003) M2AN Math. Model. Numer. Anal. , vol.37 , Issue.2 , pp. 209-225
    • Becker, R.1    Hansbo, P.2    Stenberg, R.3
  • 4
    • 36248955552 scopus 로고    scopus 로고
    • Stabilized explicit coupling for fluid-structure interaction using Nitsche's method
    • Burman E., and Fernández M.A. Stabilized explicit coupling for fluid-structure interaction using Nitsche's method. CR Math. Acad. Sci. Paris 345 8 (2007) 467-472
    • (2007) CR Math. Acad. Sci. Paris , vol.345 , Issue.8 , pp. 467-472
    • Burman, E.1    Fernández, M.A.2
  • 5
    • 33748428656 scopus 로고    scopus 로고
    • A unified stabilized method for Stokes' and Darcy's equations
    • Burman E., and Hansbo P. A unified stabilized method for Stokes' and Darcy's equations. J. Comput. Appl. Math. 198 (2007) 35-51
    • (2007) J. Comput. Appl. Math. , vol.198 , pp. 35-51
    • Burman, E.1    Hansbo, P.2
  • 6
    • 34547929621 scopus 로고    scopus 로고
    • A domain decomposition method based on interior penalties for advection-diffusion-reaction problems
    • Burman E., and Zunino P. A domain decomposition method based on interior penalties for advection-diffusion-reaction problems. SIAM J. Numer Anal. 44 (2006) 1612-1638
    • (2006) SIAM J. Numer Anal. , vol.44 , pp. 1612-1638
    • Burman, E.1    Zunino, P.2
  • 7
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • Causin P., Gerbeau J.-F., and Nobile F. Added-mass effect in the design of partitioned algorithms for fluid-structure problems. Comput. Methods Appl. Mech. Engrg. 194 42-44 (2005) 4506-4527
    • (2005) Comput. Methods Appl. Mech. Engrg. , vol.194 , Issue.42-44 , pp. 4506-4527
    • Causin, P.1    Gerbeau, J.-F.2    Nobile, F.3
  • 9
    • 10744226180 scopus 로고    scopus 로고
    • Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
    • Deparis S., Fernández M.A., and Formaggia L. Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. M2AN Math. Model. Numer. Anal. 37 4 (2003) 601-616
    • (2003) M2AN Math. Model. Numer. Anal. , vol.37 , Issue.4 , pp. 601-616
    • Deparis, S.1    Fernández, M.A.2    Formaggia, L.3
  • 10
    • 0019609566 scopus 로고
    • An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
    • Donéa J., Giuliani S., and Halleux J.P. An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions. Comput. Methods Appl. Mech. Engrg. (1982) 689-723
    • (1982) Comput. Methods Appl. Mech. Engrg. , pp. 689-723
    • Donéa, J.1    Giuliani, S.2    Halleux, J.P.3
  • 11
    • 32044458550 scopus 로고    scopus 로고
    • Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear aeroelasticity
    • Farhat C., van der Zee K., and Geuzaine Ph. Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear aeroelasticity. Comput. Methods Appl. Mech. Engrg. 195 17-18 (2006) 1973-2001
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , Issue.17-18 , pp. 1973-2001
    • Farhat, C.1    van der Zee, K.2    Geuzaine, Ph.3
  • 12
    • 33846286435 scopus 로고    scopus 로고
    • A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
    • Fernández M.A., Gerbeau J.F., and Grandmont C. A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid. Int. J. Numer. Methods Engrg. 69 4 (2007) 794-821
    • (2007) Int. J. Numer. Methods Engrg. , vol.69 , Issue.4 , pp. 794-821
    • Fernández, M.A.1    Gerbeau, J.F.2    Grandmont, C.3
  • 13
    • 0038106162 scopus 로고    scopus 로고
    • An exact block-Newton algorithm for solving fluid-structure interaction problems
    • Fernández M.A., and Moubachir M. An exact block-Newton algorithm for solving fluid-structure interaction problems. CR Math. Acad. Sci. Paris 336 8 (2003) 681-686
    • (2003) CR Math. Acad. Sci. Paris , vol.336 , Issue.8 , pp. 681-686
    • Fernández, M.A.1    Moubachir, M.2
  • 14
    • 27644534744 scopus 로고    scopus 로고
    • A Newton method using exact Jacobians for solving fluid-structure coupling
    • Fernández M.A., and Moubachir M. A Newton method using exact Jacobians for solving fluid-structure coupling. Compos. Struct. 83 (2005) 127-142
    • (2005) Compos. Struct. , vol.83 , pp. 127-142
    • Fernández, 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
    • Formaggia L., Gerbeau J.-F., Nobile F., and Quarteroni A. On the coupling of 3D and 1D Navier-Stokes equations for flow problems in compliant vessels. Comput. Methods Appl. Mech. Engrg. 191 6-7 (2001) 561-582
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.191 , Issue.6-7 , pp. 561-582
    • Formaggia, L.1    Gerbeau, J.-F.2    Nobile, F.3    Quarteroni, A.4
  • 16
    • 33750950297 scopus 로고    scopus 로고
    • Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
    • Förster C., Wall W.A., and Ramm E. Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows. Comput. Methods Appl. Mech. Engrg. 196 7 (2007) 1278-1293
    • (2007) Comput. Methods Appl. Mech. Engrg. , vol.196 , Issue.7 , pp. 1278-1293
    • Förster, C.1    Wall, W.A.2    Ramm, E.3
  • 17
    • 0345223477 scopus 로고    scopus 로고
    • A quasi-Newton algorithm based on a reduced model for fluid-structure interactions problems in blood flows
    • Gerbeau J.-F., and Vidrascu M. A quasi-Newton algorithm based on a reduced model for fluid-structure interactions problems in blood flows. Math. Model. Numer Anal. 37 4 (2003) 631-648
    • (2003) Math. Model. Numer Anal. , vol.37 , Issue.4 , pp. 631-648
    • Gerbeau, J.-F.1    Vidrascu, M.2
  • 18
    • 33751039240 scopus 로고    scopus 로고
    • Nitsche's method for interface problems in computational mechanics
    • Hansbo P. Nitsche's method for interface problems in computational mechanics. GAMM-Mitt. 28 2 (2005) 183-206
    • (2005) GAMM-Mitt. , vol.28 , Issue.2 , pp. 183-206
    • Hansbo, P.1
  • 19
    • 0242406031 scopus 로고    scopus 로고
    • Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems
    • Hansbo P., and Hermansson J. Nitsche's method for coupling non-matching meshes in fluid-structure vibration problems. Comput. Mech. 32 1-2 (2003) 134-139
    • (2003) Comput. Mech. , vol.32 , Issue.1-2 , pp. 134-139
    • Hansbo, P.1    Hermansson, J.2
  • 20
    • 4444257791 scopus 로고    scopus 로고
    • Nitsche's method combined with space-time finite elements for ALE fluid-structure interaction problems
    • Hansbo P., Hermansson J., and Svedberg T. Nitsche's method combined with space-time finite elements for ALE fluid-structure interaction problems. Comput. Methods Appl. Mech. Engrg. 193 (2004) 4195-4206
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 4195-4206
    • Hansbo, P.1    Hermansson, J.2    Svedberg, T.3
  • 21
    • 58149153602 scopus 로고    scopus 로고
    • F. Hecht, O. Pironneau, A. Le Hyaric, K. Ohtsuka, FreeFem++ v. 2.11, User's Manual, University of Paris 6.
    • F. Hecht, O. Pironneau, A. Le Hyaric, K. Ohtsuka, FreeFem++ v. 2.11, User's Manual, University of Paris 6.
  • 22
    • 58149150413 scopus 로고    scopus 로고
    • E. Järvinen, P. Rȧback, M. Lyly, Optimization of fluid-structure interaction scheme for arterial flow simulations, in: Second International Symposium on Modelling of Physiological Flows - MPF 2005, Sesimbra, Portugal, 2005.
    • E. Järvinen, P. Rȧback, M. Lyly, Optimization of fluid-structure interaction scheme for arterial flow simulations, in: Second International Symposium on Modelling of Physiological Flows - MPF 2005, Sesimbra, Portugal, 2005.
  • 23
    • 0037097109 scopus 로고    scopus 로고
    • A defect-correction method for the incompressible Navier-Stokes equations
    • Layton W., Lee H.K., and Peterson J. A defect-correction method for the incompressible Navier-Stokes equations. Appl. Math. Comput. 129 1 (2002) 1-19
    • (2002) Appl. Math. Comput. , vol.129 , Issue.1 , pp. 1-19
    • Layton, W.1    Lee, H.K.2    Peterson, J.3
  • 24
    • 0035793736 scopus 로고    scopus 로고
    • Fluid-structure interaction with large structural displacements
    • Le Tallec P., and Mouro J. Fluid-structure interaction with large structural displacements. Comput. Methods Appl. Mech. Engrg. 190 (2001) 3039-3067
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 3039-3067
    • Le Tallec, P.1    Mouro, J.2
  • 25
    • 0012753232 scopus 로고    scopus 로고
    • Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures
    • Schweizerhof K., Wall W.A., and Bletzinger K.U. (Eds), CIMNE, Barcelona
    • Mok D.P., and Wall W.A. Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures. In: Schweizerhof K., Wall W.A., and Bletzinger K.U. (Eds). Trends in Computational Structural Mechanics (2001), CIMNE, Barcelona
    • (2001) Trends in Computational Structural Mechanics
    • Mok, D.P.1    Wall, W.A.2
  • 26
    • 58149174742 scopus 로고    scopus 로고
    • D.P. Mok, W.A. Wall, E. Ramm, Partitioned analysis approach for the transient, coupled response of viscous fluids and flexible structures, in: W. Wunderlich (Ed.), Proceedings of the European Conference on Computational Mechanics, ECCM'99, TU Munich, 1999.
    • D.P. Mok, W.A. Wall, E. Ramm, Partitioned analysis approach for the transient, coupled response of viscous fluids and flexible structures, in: W. Wunderlich (Ed.), Proceedings of the European Conference on Computational Mechanics, ECCM'99, TU Munich, 1999.
  • 27
    • 0345216595 scopus 로고    scopus 로고
    • Accelerated iterative substructuring schemes for instationary fluid-structure interaction
    • Bathe K.J. (Ed), Elsevier
    • Mok D.P., Wall W.A., and Ramm E. Accelerated iterative substructuring schemes for instationary fluid-structure interaction. In: Bathe K.J. (Ed). Computational Fluid and Solid Mechanics (2001), Elsevier 1325-1328
    • (2001) Computational Fluid and Solid Mechanics , pp. 1325-1328
    • Mok, D.P.1    Wall, W.A.2    Ramm, E.3
  • 29
    • 84951671794 scopus 로고    scopus 로고
    • J. Nitsche, über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen die keinen Randbedingungen unterworfen sind, vol. 36, Abh. Math. Sem. Univ., Hamburg, 1971, pp. 9-15.
    • J. Nitsche, über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen die keinen Randbedingungen unterworfen sind, vol. 36, Abh. Math. Sem. Univ., Hamburg, 1971, pp. 9-15.
  • 30
    • 58149148732 scopus 로고    scopus 로고
    • F. Nobile. Numerical approximation of fluid-structure interaction problems with application to haemodynamics, Ph.D. thesis, EPFL, Switzerland, 2001.
    • F. Nobile. Numerical approximation of fluid-structure interaction problems with application to haemodynamics, Ph.D. thesis, EPFL, Switzerland, 2001.
  • 31
    • 0017674858 scopus 로고
    • Stabilization of staggered solution procedures for fluid-structure interaction analysis
    • Belytschko T., and Geers T.L. (Eds), American Society of Mechanical Engineers
    • Park K.C., Felippa C.A., and Deruntz J.A. Stabilization of staggered solution procedures for fluid-structure interaction analysis. In: Belytschko T., and Geers T.L. (Eds). Computational Methods for Fluid-Structure Interaction Problems vol. 26 (1977), American Society of Mechanical Engineers 95-124
    • (1977) Computational Methods for Fluid-Structure Interaction Problems , vol.26 , pp. 95-124
    • Park, K.C.1    Felippa, C.A.2    Deruntz, J.A.3
  • 32
    • 58149162355 scopus 로고    scopus 로고
    • S. Piperno. Simulation numérique de phénomènes d'interaction fluide-structure, Ph.D. thesis, Ecole Nationale des Ponts et Chaussées, 1995.
    • S. Piperno. Simulation numérique de phénomènes d'interaction fluide-structure, Ph.D. thesis, Ecole Nationale des Ponts et Chaussées, 1995.
  • 33
    • 0031279787 scopus 로고    scopus 로고
    • Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations
    • Piperno S. Explicit/implicit fluid/structure staggered procedures with a structural predictor and fluid subcycling for 2D inviscid aeroelastic simulations. Int. J. Numer. Methods Fluids 25 10 (1997) 1207-1226
    • (1997) Int. J. Numer. Methods Fluids , vol.25 , Issue.10 , pp. 1207-1226
    • Piperno, S.1
  • 34
    • 34249774310 scopus 로고    scopus 로고
    • A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method
    • Quaini A., and Quarteroni A. A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method. Math. Models Methods Appl. Sci. 17 6 (2007) 957-983
    • (2007) Math. Models Methods Appl. Sci. , vol.17 , Issue.6 , pp. 957-983
    • Quaini, A.1    Quarteroni, A.2
  • 35
    • 58149170845 scopus 로고    scopus 로고
    • P. Rȧback, J. Ruokolainen, M. Lyly, and E. Järvinen, Fluid-structure interaction boundary conditions by artificial compressibility, in: ECCOMAS Computational Fluid Dynamics Conference, Swansea, UK, 2001.
    • P. Rȧback, J. Ruokolainen, M. Lyly, and E. Järvinen, Fluid-structure interaction boundary conditions by artificial compressibility, in: ECCOMAS Computational Fluid Dynamics Conference, Swansea, UK, 2001.
  • 36
    • 58149176453 scopus 로고    scopus 로고
    • K. Riemslagh, J.A. Vierendeels, E. Dick, Coupling of a Navier-Stokes solver and an elastic boundary solver for unsteady problems, in: Computational Fluid Dynamics'98: Proceeding of the Fourth European Computational fluid Dynamics Conference, vol. 2, 1998, pp. 1040-1045.
    • K. Riemslagh, J.A. Vierendeels, E. Dick, Coupling of a Navier-Stokes solver and an elastic boundary solver for unsteady problems, in: Computational Fluid Dynamics'98: Proceeding of the Fourth European Computational fluid Dynamics Conference, vol. 2, 1998, pp. 1040-1045.
  • 37
    • 33745580052 scopus 로고
    • The defect correction principle and discretization methods
    • Stetter H.J. The defect correction principle and discretization methods. Numer. Math. 29 (1978) 425-443
    • (1978) Numer. Math. , vol.29 , pp. 425-443
    • Stetter, H.J.1
  • 38
    • 0035599464 scopus 로고    scopus 로고
    • Finite element methods for fluid dynamics with moving boundaries and interfaces
    • Tezduyar T.E. Finite element methods for fluid dynamics with moving boundaries and interfaces. Arch. Comput. Methods Engrg. 8 (2001) 83-130
    • (2001) Arch. Comput. Methods Engrg. , vol.8 , pp. 83-130
    • Tezduyar, T.E.1
  • 40
    • 0034523407 scopus 로고    scopus 로고
    • Computer simulation of intraventricular ow and pressure gradients during diastole
    • Vierendeels J.A., Riemslagh K., Dick E., and Verdonck P.R. Computer simulation of intraventricular ow and pressure gradients during diastole. J. Biomech. Eng. Trans. ASME 122 6 (2000) 667-674
    • (2000) J. Biomech. Eng. Trans. ASME , vol.122 , Issue.6 , pp. 667-674
    • Vierendeels, J.A.1    Riemslagh, K.2    Dick, E.3    Verdonck, P.R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.