메뉴 건너뛰기




Volumn 30, Issue 4, 2007, Pages 1778-1805

Splitting methods based on algebraic factorization for fluid-structure interaction

Author keywords

Added mass effect; Algebraic splitting methods; Blood flow; Fluid structure interaction; Inexact factorization; Semi implicit coupling

Indexed keywords

BLOOD VESSELS; FLUID STRUCTURE INTERACTION; ITERATIVE METHODS; LINEAR SYSTEMS; LOWER-UPPER DECOMPOSITION; NUMERICAL METHODS;

EID: 44649199366     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/070680497     Document Type: Article
Times cited : (150)

References (32)
  • 1
    • 34848908999 scopus 로고    scopus 로고
    • On some fluid-structure iterative algorithms using pressure segregation methods. Application, to aeroelasticity
    • S. BADIA AND R. CODINA, On some fluid-structure iterative algorithms using pressure segregation methods. Application, to aeroelasticity, Internat. J. Numer. Methods Engrg., 72 (2007), pp. 46-71.
    • (2007) Internat. J. Numer. Methods Engrg , vol.72 , pp. 46-71
    • BADIA, S.1    CODINA, R.2
  • 2
    • 23244467309 scopus 로고    scopus 로고
    • Added-mass effect in the design of partitioned algorithms for fluid-structure problems
    • P. CAUSIN, J.-F. GERBEAU, AND F. NOBILE, Added-mass effect in the design of partitioned algorithms for fluid-structure problems, Comput. Methods Appl. Mech. Engrg., 194 (2005), pp. 4506-4527.
    • (2005) Comput. Methods Appl. Mech. Engrg , vol.194 , pp. 4506-4527
    • CAUSIN, P.1    GERBEAU, J.-F.2    NOBILE, F.3
  • 3
    • 0030372743 scopus 로고    scopus 로고
    • On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems
    • M. CEKVERA, R. CODINA, AND M. GALINDO, On the computational efficiency and implementation of block-iterative algorithms for nonlinear coupled problems, Engrg. Comput., 13 (1996), pp. 4-30.
    • (1996) Engrg. Comput , vol.13 , pp. 4-30
    • CEKVERA, M.1    CODINA, R.2    GALINDO, M.3
  • 4
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. CHORIN, Numerical solution of the Navier-Stokes equations. Math. Comp., 22 (1968), pp. 745-762.
    • (1968) Math. Comp , vol.22 , pp. 745-762
    • CHORIN, A.J.1
  • 5
    • 0037200448 scopus 로고    scopus 로고
    • Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
    • R. CODINA, Stabilized finite element approximation of transient incompressible flows using orthogonal subscales, Comput. Methods Appl. Mech. Engrg., 191 (2002), pp. 4295-4321.
    • (2002) Comput. Methods Appl. Mech. Engrg , vol.191 , pp. 4295-4321
    • CODINA, R.1
  • 6
    • 33645062688 scopus 로고    scopus 로고
    • On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems
    • R. CODINA AND S. BADIA, On some pressure segregation methods of fractional-step type for the finite element approximation of incompressible flow problems, Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 2900-2918.
    • (2006) Comput. Methods Appl. Mech. Engrg , vol.195 , pp. 2900-2918
    • CODINA, R.1    BADIA, S.2
  • 7
    • 2042453321 scopus 로고    scopus 로고
    • Approximation of the incompressible Navier-Stokes equations using orthogonal-sub scale stabilization and pressure segregation on anisotropic finite element meshes
    • R. CODINA AND O. SOTO, Approximation of the incompressible Navier-Stokes equations using orthogonal-sub scale stabilization and pressure segregation on anisotropic finite element meshes, Comput. Methods Appl. Mech. Engrg., 193 (2004), pp. 1403-1419.
    • (2004) Comput. Methods Appl. Mech. Engrg , vol.193 , pp. 1403-1419
    • CODINA, R.1    SOTO, O.2
  • 10
    • 10744226180 scopus 로고    scopus 로고
    • Acceleration of a fixed point algorithm for fluid-structure interaction problems
    • S. DEPARIS, M.A. FERNÁNDEZ, AND L. FORMAGGIA, Acceleration of a fixed point algorithm for fluid-structure interaction problems, M2AN Math. Model. Numer. Anal., 37 (2003), pp. 601-616.
    • (2003) M2AN Math. Model. Numer. Anal , vol.37 , pp. 601-616
    • DEPARIS, S.1    FERNÁNDEZ, M.A.2    FORMAGGIA, L.3
  • 11
    • 0036776693 scopus 로고    scopus 로고
    • Preconditioners for saddle point problems arising in computational fluid dynamics
    • H.C. ELMAN, Preconditioners for saddle point problems arising in computational fluid dynamics, Appl. Numer. Math., 43 (2002), pp. 75-89.
    • (2002) Appl. Numer. Math , vol.43 , pp. 75-89
    • ELMAN, H.C.1
  • 12
    • 31344459572 scopus 로고    scopus 로고
    • A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid
    • M.A. FERNANDEZ. J.F. GERBEAU, AND C. GRANDMONT, A projection semi-implicit scheme for the coupling of an elastic structure with an incompressible fluid, C. R. Math. Acad. Sci. Paris, 342 (2006), pp. 279-284.
    • (2006) C. R. Math. Acad. Sci. Paris , vol.342 , pp. 279-284
    • FERNANDEZ, M.A.1    GERBEAU, J.F.2    GRANDMONT, C.3
  • 13
    • 27644534744 scopus 로고    scopus 로고
    • A Newton method using exact Jacobians for solving fluid-structure coupling
    • M.A. FERNÁNDEZAND M. MOUBACHIR, A Newton method using exact Jacobians for solving fluid-structure coupling, Comput. & Structures, 83 (2005), pp. 127-142.
    • (2005) Comput. & Structures , vol.83 , pp. 127-142
    • FERNÁNDEZAND, M.A.1    MOUBACHIR, M.2
  • 14
    • 0035824658 scopus 로고    scopus 로고
    • On the coupling of 3D an 1D Navier-Stokes eguations for flow problems in compliant vessels
    • L. FORMAGGIA, J.-F. GERBEAU, F. NOBILE, AND A. QUARTERONI, On the coupling of 3D an 1D Navier-Stokes eguations for flow problems in compliant vessels, Comput. Methods Appl. Mech. Engrg., 191 (2001), pp. 561-582.
    • (2001) Comput. Methods Appl. Mech. Engrg , vol.191 , pp. 561-582
    • FORMAGGIA, L.1    GERBEAU, J.-F.2    NOBILE, F.3    QUARTERONI, A.4
  • 15
    • 0345223477 scopus 로고    scopus 로고
    • Quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows
    • J.F. GERBEAU AND M. VIDRASCU, Quasi-Newton algorithm based on a reduced model for fluid-structure interaction problems in blood flows, M2AN Math. Model. Numer. Anal., 37 (2003), pp. 631-647.
    • (2003) M2AN Math. Model. Numer. Anal , vol.37 , pp. 631-647
    • GERBEAU, J.F.1    VIDRASCU, M.2
  • 16
    • 33644543470 scopus 로고    scopus 로고
    • Algebraic fractional step schemes with spectral methods for the incompressible Navier-Stokes
    • P. GERVASIO, F. SALERI, AND A. VENEZIANI, Algebraic fractional step schemes with spectral methods for the incompressible Navier-Stokes, J. Comput. Phys., 214 (2006), pp. 347-365.
    • (2006) J. Comput. Phys , vol.214 , pp. 347-365
    • GERVASIO, P.1    SALERI, F.2    VENEZIANI, A.3
  • 17
    • 0347516603 scopus 로고    scopus 로고
    • An efficient solver to the fully coupled solution of large-displacement fluid-structure interaction problems
    • M. HEIL, An efficient solver to the fully coupled solution of large-displacement fluid-structure interaction problems, Comput. Methods Appl. Mech. Engrg., 193 (2004), pp. 1-23.
    • (2004) Comput. Methods Appl. Mech. Engrg , vol.193 , pp. 1-23
    • HEIL, M.1
  • 18
    • 0037201228 scopus 로고    scopus 로고
    • Schur complement preconditioners for the Navier-Stokes equations
    • D. LOGHIN AND A.J. WATHEN, Schur complement preconditioners for the Navier-Stokes equations, Internat. J. Numer. Methods Fluids, 40 (2002), pp. 403-412.
    • (2002) Internat. J. Numer. Methods Fluids , vol.40 , pp. 403-412
    • LOGHIN, D.1    WATHEN, A.J.2
  • 19
    • 0037401770 scopus 로고    scopus 로고
    • Partitioned strong coupling algorithms for fluid-structure interaction
    • H.G. MATTHIES AND J. STEINDORF, Partitioned strong coupling algorithms for fluid-structure interaction, Comp. & Structures 81 (2003), pp. 805-812.
    • (2003) Comp. & Structures , vol.81 , pp. 805-812
    • MATTHIES, H.G.1    STEINDORF, J.2
  • 20
    • 0012753232 scopus 로고    scopus 로고
    • Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures
    • K. Schweizerhof, W.A. Wall, and K.U. Bletzinger, eds, CIMNE, Barcelona
    • D.P. MOK AND W.A. WALL, Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures, in Trends in Computational Structural Mechanics, K. Schweizerhof, W.A. Wall, and K.U. Bletzinger, eds., CIMNE, Barcelona, 2001.
    • (2001) Trends in Computational Structural Mechanics
    • MOK, D.P.1    WALL, W.A.2
  • 21
    • 0345216595 scopus 로고    scopus 로고
    • Accelerated iterative substructuring schemes for instationary fluid-structure interaction
    • K.J. Bathe, ed, Elsevier, New York
    • D.P. MOK, W.A. WALL, AND E. RAMM, Accelerated iterative substructuring schemes for instationary fluid-structure interaction, in Computational Fluid and Solid Mechanics, K.J. Bathe, ed., Elsevier, New York, 2001.
    • (2001) Computational Fluid and Solid Mechanics
    • MOK, D.P.1    WALL, W.A.2    RAMM, E.3
  • 23
    • 34249774310 scopus 로고    scopus 로고
    • A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method
    • A. QUAINI AND A. QUARTERONI, A semi-implicit approach for fluid-structure interaction based on an algebraic fractional step method, Math. Models Methods Appl. Sci., 17 (2007), pp. 957-983.
    • (2007) Math. Models Methods Appl. Sci , vol.17 , pp. 957-983
    • QUAINI, A.1    QUARTERONI, A.2
  • 24
    • 0039636865 scopus 로고
    • Coupling viscous and inviscid Stokes equations via a domain decomposition method for finite elements
    • A. QUARTERONI, G. SACCHI LANDRIANI, AND A. VALLI, Coupling viscous and inviscid Stokes equations via a domain decomposition method for finite elements, Numer. Math., 59 (1991), pp. 831-859.
    • (1991) Numer. Math , vol.59 , pp. 831-859
    • QUARTERONI, A.1    SACCHI LANDRIANI, G.2    VALLI, A.3
  • 25
    • 0033542258 scopus 로고    scopus 로고
    • Analysis of the Yosida method for the incompressible Navier-Stokes equations
    • A. QUARTERONI, F. SALERI, AND A. VENEZIANI, Analysis of the Yosida method for the incompressible Navier-Stokes equations, J. Math. Pures Appl., 78 (1999), pp. 473-503.
    • (1999) J. Math. Pures Appl , vol.78 , pp. 473-503
    • QUARTERONI, A.1    SALERI, F.2    VENEZIANI, A.3
  • 26
    • 0034234056 scopus 로고    scopus 로고
    • Factorization methods for the numerical approximation of Navier-Stokes equations
    • A. QUARTERONI, F. SALERI, AND A. VENEZIANI, Factorization methods for the numerical approximation of Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg., 188 (2000), pp. 505-526.
    • (2000) Comput. Methods Appl. Mech. Engrg , vol.188 , pp. 505-526
    • QUARTERONI, A.1    SALERI, F.2    VENEZIANI, A.3
  • 28
    • 0035793736 scopus 로고    scopus 로고
    • Fluid structure interaction with, large structural displacements
    • P. LE TALLEC AND J. MOURO, Fluid structure interaction with, large structural displacements, Comput. Methods Appl. Mech. Engrg., 190 (2001), pp. 3039-3067.
    • (2001) Comput. Methods Appl. Mech. Engrg , vol.190 , pp. 3039-3067
    • LE TALLEC, P.1    MOURO, J.2
  • 29
    • 34250481480 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionaires (I)
    • R. TEMAM, Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionaires (I), Arch. Ration. Mech. Anal., 32 (1969), pp. 135-153.
    • (1969) Arch. Ration. Mech. Anal , vol.32 , pp. 135-153
    • TEMAM, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.