메뉴 건너뛰기




Volumn 60, Issue 10, 2009, Pages 1149-1172

A fast method for solving fluid-structure interaction problems numerically

Author keywords

Arbitrary Lagrangian Eulerian; Flow in moving domain; Fluid structure interaction problems

Indexed keywords

ARBITRARY LAGRANGIAN EULERIAN; BACKWARD EULER SCHEME; BROYDEN; COMPUTATIONAL EFFORT; ELASTICITY MODEL; FAST METHODS; FLOW IN MOVING DOMAIN; FLUID-STRUCTURE INTERACTION PROBLEM; FLUID-STRUCTURE INTERACTION PROBLEMS; INTERFACE POSITION; KIRCHHOFF; LINEAR ELASTICITY; NON-LINEAR; NUMERICAL RESULTS; OPTIMIZATION PROBLEMS; SEMI-IMPLICIT; STRUCTURE EQUATIONS; TIME STEP; UNSTEADY FLUID-STRUCTURE INTERACTIONS;

EID: 70349647305     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1931     Document Type: Article
Times cited : (32)

References (36)
  • 1
    • 0034140207 scopus 로고    scopus 로고
    • Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems
    • Farhat C, Lesoinne M. Two efficient staggered algorithms for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems. Computer Methods in Applied Mechanics and Engineering 2000; 182(3-4):499-515.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.182 , Issue.3-4 , pp. 499-515
    • Farhat, C.1    Lesoinne, M.2
  • 4
    • 33750950297 scopus 로고    scopus 로고
    • Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows
    • Forster C, Wall WA, Ramm E. Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows. Computer Methods in Applied Mechanics and Engineering 2007; 196(7):1278-1293.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , Issue.7 , pp. 1278-1293
    • Forster, C.1    Wall, W.A.2    Ramm, E.3
  • 7
    • 0141792707 scopus 로고    scopus 로고
    • Linear fluid-structure stability analysis with transpiration. Part I: Formulation and mathematical analysis
    • Fernandez MA, Le Tallec P. Linear fluid-structure stability analysis with transpiration. Part I: formulation and mathematical analysis. Computer Methods in Applied Mechanics and Engineering 2003; 192:4805-4835.
    • (2003) Computer Methods in Applied Mechanics and Engineering , vol.192 , pp. 4805-4835
    • Fernandez, M.A.1    Le Tallec, P.2
  • 8
    • 10744226180 scopus 로고    scopus 로고
    • Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions
    • Deparis S, Fernández MA, Formaggia L. Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. Mathematical Modelling and Numerical Analysis 2003; 37(4):601-616.
    • (2003) Mathematical Modelling and Numerical Analysis , vol.37 , Issue.4 , pp. 601-616
    • Deparis, S.1    Fernández, M.A.2    Formaggia, L.3
  • 9
    • 0036858296 scopus 로고    scopus 로고
    • Partitioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction
    • Steindorf J, Matthies HG. Partitioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction. Computers and Structures 2002; 80:1991-1999.
    • (2002) Computers and Structures , vol.80 , pp. 1991-1999
    • Steindorf, J.1    Matthies, H.G.2
  • 10
    • 0345223477 scopus 로고    scopus 로고
    • A quasi-Newton algorithm on a reduced model for fluid-structure interaction problems in blood flows
    • Gerbeau JF, Vidrascu M. A quasi-Newton algorithm on a reduced model for fluid-structure interaction problems in blood flows. Mathematical Modelling and Numerical Analysis 2003; 37(4):631-648.
    • (2003) Mathematical Modelling and Numerical Analysis , vol.37 , Issue.4 , pp. 631-648
    • Gerbeau, J.F.1    Vidrascu, M.2
  • 11
    • 27644534744 scopus 로고    scopus 로고
    • A Newton method using exact Jacobians for solving fluid-structure coupling
    • Fernandez MA, Moubachir M. A Newton method using exact Jacobians for solving fluid-structure coupling. Computers and Structures 2005; 83(2-3):127-142.
    • (2005) Computers and Structures , vol.83 , Issue.2-3 , pp. 127-142
    • Fernandez, M.A.1    Moubachir, M.2
  • 12
    • 33745389585 scopus 로고    scopus 로고
    • A computational framework for fluid-structure interaction: Finite element formulation and applications
    • Dettmer W, Perić D. A computational framework for fluid-structure interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006; 195(41-43):5754-5779.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.41-43 , pp. 5754-5779
    • Dettmer, W.1    Perić, D.2
  • 14
    • 29644431950 scopus 로고    scopus 로고
    • Sensitivity and approximation of coupled fluid-structure equations by virtual control method
    • Murea CM, Vazquez C. Sensitivity and approximation of coupled fluid-structure equations by virtual control method. Applied Mathematics and Optimization 2005; 52(2):183-218.
    • (2005) Applied Mathematics and Optimization , vol.52 , Issue.2 , pp. 183-218
    • Murea, C.M.1    Vazquez, C.2
  • 15
    • 17644365405 scopus 로고    scopus 로고
    • The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries
    • Murea CM. The BFGS algorithm for a nonlinear least squares problem arising from blood flow in arteries. Computer and Mathematics with Applications 2005; 49:171-186.
    • (2005) Computer and Mathematics with Applications , vol.49 , pp. 171-186
    • Murea, C.M.1
  • 16
    • 33847197476 scopus 로고    scopus 로고
    • Numerical simulation of a pulsatile flow through a flexible channel
    • Murea CM. Numerical simulation of a pulsatile flow through a flexible channel. ESAIM: Mathematical Modelling and Numerical Analysis 2006; 40(6):1101-1125.
    • (2006) ESAIM: Mathematical Modelling and Numerical Analysis , vol.40 , Issue.6 , pp. 1101-1125
    • Murea, C.M.1
  • 19
    • 44649201252 scopus 로고    scopus 로고
    • An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions
    • Nobile F, Vergara C. An effective fluid-structure interaction formulation for vascular dynamics by generalized Robin conditions. SIAM Journal on Scientific Computing 2008; 30(2):731-763.
    • (2008) SIAM Journal on Scientific Computing , vol.30 , Issue.2 , pp. 731-763
    • Nobile, F.1    Vergara, C.2
  • 20
    • 67649671720 scopus 로고    scopus 로고
    • Mathematical modelling and numerical simulation of the cardiovascular system
    • Ciarlet ed, North-Holland: Amsterdam
    • Quarteroni A, Formaggia L. Mathematical modelling and numerical simulation of the cardiovascular system. In Handbook of Numerical Analysis, Ciarlet PG (ed.), vol. XII. North-Holland: Amsterdam, 2004; 3-127.
    • (2004) Handbook of Numerical Analysis , vol.12 , pp. 3-127
    • Quarteroni, A.1    Formaggia, L.2
  • 21
    • 0038814282 scopus 로고    scopus 로고
    • Finite-element simulation of incompressible fluid flow in an elastic vessel
    • Chen H, Sheu T. Finite-element simulation of incompressible fluid flow in an elastic vessel. International Journal for Numerical Methods in Fluids 2003; 42:131-146.
    • (2003) International Journal for Numerical Methods in Fluids , vol.42 , pp. 131-146
    • Chen, H.1    Sheu, T.2
  • 22
    • 29544449635 scopus 로고    scopus 로고
    • A characteristic-ALE formulation for a fluid-membrane interaction problem
    • Baffico L. A characteristic-ALE formulation for a fluid-membrane interaction problem. Communications in Numerical Methods in Engineering 2005; 21:723-734.
    • (2005) Communications in Numerical Methods in Engineering , vol.21 , pp. 723-734
    • Baffico, L.1
  • 24
    • 0037230693 scopus 로고    scopus 로고
    • A fluid-beam model for flow in collapsible channel
    • Cai ZX, Luo XY. A fluid-beam model for flow in collapsible channel. Journal of Fluids and Structures 2003; 17:125-146.
    • (2003) Journal of Fluids and Structures , vol.17 , pp. 125-146
    • Cai, Z.X.1    Luo, X.Y.2
  • 25
    • 0347516603 scopus 로고    scopus 로고
    • An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems
    • Heil M. An efficient solver for the fully coupled solution of large-displacement fluid-structure interaction problems. Computer Methods in Applied Mechanics and Engineering 2004; 193(1-2):1-23.
    • (2004) Computer Methods in Applied Mechanics and Engineering , vol.193 , Issue.1-2 , pp. 1-23
    • Heil, M.1
  • 26
    • 0004305059 scopus 로고
    • French, Research in Applied Mathematics, Masson: Paris
    • Ciarlet PG. Elasticité tridimensionnelle (French). Research in Applied Mathematics, vol. 1. Masson: Paris, 1986.
    • (1986) Elasticité tridimensionnelle , vol.1
    • Ciarlet, P.G.1
  • 28
    • 23944486445 scopus 로고    scopus 로고
    • Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate
    • Chambolle A, Desjardins B, Esteban M, Grandmont C. Existence of weak solutions for the unsteady interaction of a viscous fluid with an elastic plate. Journal of Mathematical Fluid Mechanics 2005; 7(3):368-404.
    • (2005) Journal of Mathematical Fluid Mechanics , vol.7 , Issue.3 , pp. 368-404
    • Chambolle, A.1    Desjardins, B.2    Esteban, M.3    Grandmont, C.4
  • 31
    • 84880500027 scopus 로고    scopus 로고
    • A monolithic FEM/multigrid solver for an ALE formulation of fluid-structure interaction with applications in biomechanics
    • Fluid-Structure Interaction, Springer: Berlin
    • Hron J, Turek S. A monolithic FEM/multigrid solver for an ALE formulation of fluid-structure interaction with applications in biomechanics. Fluid-Structure Interaction. Lecture Notes in Computer Science and Engineering, vol. 53. Springer: Berlin, 2006; 146-170.
    • (2006) Lecture Notes in Computer Science and Engineering , vol.53 , pp. 146-170
    • Hron, J.1    Turek, S.2
  • 32
    • 0003315567 scopus 로고    scopus 로고
    • Numerical Methods for Unconstrained Optimization and Nonlinear Equations
    • Society for Industrial and Applied Mathematics: Philadelphia, PA
    • Dennis Jr JE, Schnabel RB. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Classics in Applied Mathematics, vol. 16. Society for Industrial and Applied Mathematics: Philadelphia, PA, 1996.
    • (1996) Classics in Applied Mathematics , vol.16
    • Dennis Jr, J.E.1    Schnabel, R.B.2
  • 33
    • 0032053181 scopus 로고    scopus 로고
    • Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity
    • Farhat C, Lesoinne M, Le Tallec P. Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: momentum and energy conservation, optimal discretization and application to aeroelasticity. Computer Methods in Applied Mechanics and Engineering 1998; 21:95-114.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.21 , pp. 95-114
    • Farhat, C.1    Lesoinne, M.2    Le Tallec, P.3
  • 34
    • 70349638596 scopus 로고    scopus 로고
    • Approximation par la méthode des moindres carrés d'un problmè bidimensionnel stationnaire d'interaction fluide-structure
    • Cairo, 26-28 June
    • Mbaye I, Murea CM. Approximation par la méthode des moindres carrés d'un problmè bidimensionnel stationnaire d'interaction fluide-structure. Proceedings of Euro-Mediterranean Conference on Bio-mathematics, Cairo, 26-28 June 2007.
    • (2007) Proceedings of Euro-Mediterranean Conference on Bio-mathematics
    • Mbaye, I.1    Murea, C.M.2
  • 35
    • 70349646593 scopus 로고    scopus 로고
    • Hecht F, Pironneau O. A finite element software for PDE: FreeFem++. Available from: http://www.freefem.org (access on May 2008).
    • Hecht F, Pironneau O. A finite element software for PDE: FreeFem++. Available from: http://www.freefem.org (access on May 2008).
  • 36
    • 70349638595 scopus 로고    scopus 로고
    • A semi-implicit algorithm based on the augmented Lagrangian method for fluid-structure interface. In Numerical Mathematics and Advanced Applications, Kunisch K
    • Of G, Steinbach O eds, Graz, Austria, September, Springer: Heidelberg
    • Murea CM. A semi-implicit algorithm based on the augmented Lagrangian method for fluid-structure interface. In Numerical Mathematics and Advanced Applications, Kunisch K, Of G, Steinbach O (eds), Proceedings of ENUMATH 2007, The 7th European Conference on Numerical Mathematics and Advanced Applications, Graz, Austria, September 2007. Springer: Heidelberg, 2008; 555-562.
    • (2007) Proceedings of ENUMATH 2007, The 7th European Conference on Numerical Mathematics and Advanced Applications , pp. 555-562
    • Murea, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.