메뉴 건너뛰기




Volumn 24, Issue 11, 2008, Pages 1257-1275

Numerical procedure with analytic derivative for unsteady fluid-structure interaction

Author keywords

Analytic derivative; Arbitrary Lagrangian Eulerian framework; Finite element method; Fluid structure interaction

Indexed keywords

FLOW INTERACTIONS; FLUID DYNAMICS; FLUID STRUCTURE INTERACTION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; STRUCTURAL OPTIMIZATION; WIRELESS LOCAL AREA NETWORKS (WLAN);

EID: 57749182175     PISSN: 10698299     EISSN: 10990887     Source Type: Journal    
DOI: 10.1002/cnm.1031     Document Type: Article
Times cited : (9)

References (34)
  • 1
    • 29644433524 scopus 로고    scopus 로고
    • Interaction de fluides potentiels avec une membrane élastique
    • Societé de Mathématiques Appliquées et Industrielles: Paris
    • Maday Y, Maury B, Metier P. Interaction de fluides potentiels avec une membrane élastique. ESAIM Proceedings, vol. 10. Societé de Mathématiques Appliquées et Industrielles: Paris, 1999; 23-33.
    • (1999) ESAIM Proceedings , vol.10 , pp. 23-33
    • Maday, Y.1    Maury, B.2    Metier, P.3
  • 2
    • 67649671720 scopus 로고    scopus 로고
    • Mathematical modelling and numerical simulation of the cardiovascular system
    • Modelling of Living Systems, Ayache N, Ciarlet eds, Elsevier: Amsterdam
    • Quarteroni A, Formaggia L. Mathematical modelling and numerical simulation of the cardiovascular system. In Modelling of Living Systems, Ayache N, Ciarlet PG (eds). Handbook of Numerical Analysis Series, vol. XII. Elsevier: Amsterdam, 2004.
    • (2004) Handbook of Numerical Analysis Series , vol.12
    • Quarteroni, A.1    Formaggia, L.2
  • 5
    • 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
  • 7
    • 32044437953 scopus 로고    scopus 로고
    • Compressibility and gravity effects in internal fluid-structure vibrations: Basic equations and appropriate variational formulations
    • Andrianarison O, Ohayon R. Compressibility and gravity effects in internal fluid-structure vibrations: basic equations and appropriate variational formulations. Computer Methods in Applied Mechanics and Engineering 2006; 195(17-18):1958-1972.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.17-18 , pp. 1958-1972
    • Andrianarison, O.1    Ohayon, R.2
  • 8
    • 0141486165 scopus 로고    scopus 로고
    • Existence for a three-dimensional steady state fluid-structure interaction problem
    • 1:76-94
    • Grandmont C. Existence for a three-dimensional steady state fluid-structure interaction problem. Journal of Mathematics and Fluid Mechanics 2002; 4)(1):76-94.
    • (2002) Journal of Mathematics and Fluid Mechanics , vol.4
    • Grandmont, C.1
  • 10
    • 28444462229 scopus 로고    scopus 로고
    • An existence result for a compressible fluid pattern coupled to a cylindrical shell
    • Flori F, Giudicelli B, Orenga P. An existence result for a compressible fluid pattern coupled to a cylindrical shell. Nonlinear Analysis and Real-World Applications 2006; 7(2):308-318.
    • (2006) Nonlinear Analysis and Real-World Applications , vol.7 , Issue.2 , pp. 308-318
    • Flori, F.1    Giudicelli, B.2    Orenga, P.3
  • 13
    • 13944271327 scopus 로고    scopus 로고
    • On the existence of strong solution to a coupled fluid structure evolution problem
    • Beirao da Veiga H. On the existence of strong solution to a coupled fluid structure evolution problem. Journal of Mathematics and Fluid Mechanics 2004; 6:21-52.
    • (2004) Journal of Mathematics and Fluid Mechanics , vol.6 , pp. 21-52
    • Beirao da Veiga, H.1
  • 16
    • 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
  • 17
    • 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
  • 18
    • 10744226180 scopus 로고    scopus 로고
    • Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. M2AN
    • Deparis S, Fernández MA, Formaggia L. Acceleration of a fixed point algorithm for fluid-structure interaction using transpiration conditions. M2AN 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
  • 19
    • 0036858296 scopus 로고    scopus 로고
    • Partioned but strongly coupled iteration schemes for nonlinear fluid-structure interaction
    • Steindorf J, Matthies HG. Partioned 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
  • 20
    • 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
  • 21
    • 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
  • 27
    • 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
  • 28
    • 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. Computers and Mathematics with Applications 2005; 49:171-186.
    • (2005) Computers and Mathematics with Applications , vol.49 , pp. 171-186
    • Murea, C.M.1
  • 29
    • 57749179238 scopus 로고    scopus 로고
    • Numerical control of normal velocity by normal stress for interaction between an incompressible fluid and an elastic curved arch
    • Wesseling P, Onate E, Périaux J eds, Egmond aan Zee, The Netherlands, 5-8 September
    • Murea CM, Vazquez C. Numerical control of normal velocity by normal stress for interaction between an incompressible fluid and an elastic curved arch. In Proceedings (CDROM) ECCOMAS CFD 2006, Wesseling P, Onate E, Périaux J (eds). Egmond aan Zee, The Netherlands, 5-8 September 2006.
    • (2006) Proceedings (CDROM) ECCOMAS CFD 2006
    • Murea, C.M.1    Vazquez, C.2
  • 30
    • 33847197476 scopus 로고    scopus 로고
    • Numerical simulation of a pulsatile flow through a flexible channel
    • Murea C. 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.1
  • 32
    • 30944446643 scopus 로고    scopus 로고
    • A computational framework for fluid-rigid body interaction: Finite element formulation and applications
    • Dettmer W, Perić D. A computational framework for fluid-rigid body interaction: finite element formulation and applications. Computer Methods in Applied Mechanics and Engineering 2006; 195(13-16):1633-1666.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.13-16 , pp. 1633-1666
    • Dettmer, W.1    Perić, D.2
  • 34
    • 0003315567 scopus 로고    scopus 로고
    • Numerical methods for unconstrained optimization and nonlinear equations
    • SIAM: Philadelphia, PA
    • Dennis Jr JE, Schnabel RB. Numerical methods for unconstrained optimization and nonlinear equations. Classics in Applied Mathematics, vol. 16. SIAM: Philadelphia, PA, 1996.
    • (1996) Classics in Applied Mathematics , vol.16
    • Dennis Jr, J.E.1    Schnabel, R.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.