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Volumn 198, Issue 47-48, 2009, Pages 3795-3805

Projection-based reduction of fluid-structure interaction systems using monolithic space-time modes

Author keywords

Fluid structure interaction; Monolithic model reduction; Space time finite elements; Strong coupling

Indexed keywords

ALGEBRAIC EQUATIONS; COMPUTATIONAL APPROACH; CONSERVATION OF MASS; DISCRETIZED MODELS; ENGINEERING APPLICATIONS; FINITE ELEMENT MESHES; FLOW DOMAINS; FLUID-STRUCTURE INTERFACES; FLUID-STRUCTURE SYSTEMS; FLUID-STRUCTURES; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; LARGE DISPLACEMENTS; MESH-MOVING SCHEMES; MODEL EQUATIONS; MONOLITHIC MODEL REDUCTION; NEWTONIAN FLUIDS; NODAL COORDINATES; NONLINEAR PROBLEMS; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED MODEL; SIMULTANEOUS SOLUTION; SPACE AND TIME; SPACE TIME FINITE ELEMENT; SPACE-TIME FINITE ELEMENT METHOD; SPACE-TIME FINITE ELEMENTS; SPATIAL DOMAINS; STRONG COUPLING; STRUCTURAL DEFORMATION; TOTAL LAGRANGIAN;

EID: 70349416547     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2009.08.010     Document Type: Article
Times cited : (10)

References (56)
  • 2
    • 0034140207 scopus 로고    scopus 로고
    • Two efficient staggered procedures for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems
    • Farhat C., and Lesoinne M. Two efficient staggered procedures for the serial and parallel solution of three-dimensional nonlinear transient aeroelastic problems. Comput. Methods Appl. Mech. Engrg. 182 (2000) 499-515
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.182 , pp. 499-515
    • Farhat, C.1    Lesoinne, M.2
  • 4
    • 26844496222 scopus 로고    scopus 로고
    • Partitioned analysis approach for the transient coupled response of viscous fluids and flexible structures
    • W. Wunderlich Ed, 99, Munich
    • W.A. Wall, D.P. Mok, 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, Munich, 1999.
    • (1999) Proceedings of the European Conference on Computational Mechanics, ECCM
    • Wall, W.A.1    Mok, D.P.2    Ramm, E.3
  • 5
    • 0035793736 scopus 로고    scopus 로고
    • Fluid structure interaction with large structural displacements
    • Tallec P.L., 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
    • Tallec, P.L.1    Mouro, J.2
  • 6
    • 0037401770 scopus 로고    scopus 로고
    • Partioned strong coupling algorithms for fluid-structure interaction
    • Matthies H., and Steindorf J. Partioned strong coupling algorithms for fluid-structure interaction. Comput. Struct. 81 (2003) 805-812
    • (2003) Comput. Struct. , vol.81 , pp. 805-812
    • Matthies, H.1    Steindorf, J.2
  • 7
    • 0012753232 scopus 로고    scopus 로고
    • Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures
    • W.A. Wall, K.-U. Bletzinger, K. Schweizerhof Eds, CIMNE
    • D. Mok, W.A. Wall, Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear flexible structures, in: W.A. Wall, K.-U. Bletzinger, K. Schweizerhof (Eds.), Trends in Computational Structural Mechanics, CIMNE, 2001.
    • (2001) Trends in Computational Structural Mechanics
    • Mok, D.1    Wall, W.A.2
  • 8
    • 34347326939 scopus 로고    scopus 로고
    • A framework for stabilized partitioned analysis of thin membrane-wind interaction
    • Wüchner R., Kupzok A., and Bletzinger K.-U. A framework for stabilized partitioned analysis of thin membrane-wind interaction. Int. J. Numer. Methods Fluid. 54 6-8 (2007) 945-963
    • (2007) Int. J. Numer. Methods Fluid. , vol.54 , Issue.6-8 , pp. 945-963
    • Wüchner, R.1    Kupzok, A.2    Bletzinger, K.-U.3
  • 9
    • 16244394526 scopus 로고    scopus 로고
    • An interface Newton-Krylov solver for fluid-structure interaction
    • Michler C., van Brummelen E., and de Borst R. An interface Newton-Krylov solver for fluid-structure interaction. Int. J. Numer. Methods Fluids 47 10-11 (2005) 1189-1195
    • (2005) Int. J. Numer. Methods Fluids , vol.47 , Issue.10-11 , pp. 1189-1195
    • Michler, C.1    van Brummelen, E.2    de Borst, R.3
  • 10
    • 27644534744 scopus 로고    scopus 로고
    • A newton method using exact jacobians for solving fluid-structure coupling
    • Fernandez M., and Moubachir M. A newton method using exact jacobians for solving fluid-structure coupling. Comput. Struct. 83 (2005) 127-142
    • (2005) Comput. Struct. , vol.83 , pp. 127-142
    • Fernandez, M.1    Moubachir, M.2
  • 11
    • 33745390125 scopus 로고    scopus 로고
    • Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations
    • Tezduyar T.E., Sathe S., and Stein K. Solution techniques for the fully discretized equations in computation of fluid-structure interactions with the space-time formulations. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5743-5753
    • (2006) Comput. Methods Appl. Mech. Engrg. , Issue.195 , pp. 5743-5753
    • Tezduyar, T.E.1    Sathe, S.2    Stein, K.3
  • 12
    • 33745389585 scopus 로고    scopus 로고
    • A computational framework for fluid-structure interaction: finite element formulation and applications
    • Dettmer W.G., and Peric D. A computational framework for fluid-structure interaction: finite element formulation and applications. Comput. Methods Appl. Mech. Engrg. 195 (2006) 5754-5779
    • (2006) Comput. Methods Appl. Mech. Engrg. , Issue.195 , pp. 5754-5779
    • Dettmer, W.G.1    Peric, D.2
  • 14
    • 52549092699 scopus 로고    scopus 로고
    • Fixed-point fluid-structure interaction solvers with dynamic relaxation
    • Küttler U., and Wall W. Fixed-point fluid-structure interaction solvers with dynamic relaxation. Comput. Mech. 43 1 (2008) 61-72
    • (2008) Comput. Mech. , vol.43 , Issue.1 , pp. 61-72
    • Küttler, U.1    Wall, W.2
  • 17
    • 48549090927 scopus 로고
    • ALE finite element computations of fluid-structure interaction problems
    • Nomura T. ALE finite element computations of fluid-structure interaction problems. Comput. Methods Appl. Mech. Engrg. 146 (1994) 91-126
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.146 , pp. 91-126
    • Nomura, T.1
  • 18
    • 0028372424 scopus 로고
    • Finite element solution strategies for large-scale flow simulations
    • Behr M., and Tezduyar T.E. Finite element solution strategies for large-scale flow simulations. Comput. Methods Appl. Mech. Engrg. 112 (1994) 3-24
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.112 , pp. 3-24
    • Behr, M.1    Tezduyar, T.E.2
  • 19
    • 0026852091 scopus 로고
    • The characteristic streamline diffusion method for convection-diffusion problems
    • Hansbo P. The characteristic streamline diffusion method for convection-diffusion problems. Comput. Methods Appl. Mech. Engrg. 96 (1992) 239-253
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.96 , pp. 239-253
    • Hansbo, P.1
  • 20
    • 0030199447 scopus 로고    scopus 로고
    • Geometric conservation laws for flow problems with moving boundaries and deformable meshes and their impact on aeroelastic computations
    • Lesoinne M., and Farhat C. Geometric conservation laws for flow problems with moving boundaries and deformable meshes and their impact on aeroelastic computations. Comput. Methods Appl. Mech. Engrg. 134 (1996) 71-90
    • (1996) Comput. Methods Appl. Mech. Engrg. , vol.134 , pp. 71-90
    • Lesoinne, M.1    Farhat, C.2
  • 21
    • 16544385265 scopus 로고    scopus 로고
    • A monolithic approach to fluid-sructure interaction using space-time finite elements
    • Hübner B., Walhorn E., and Dinkler D. A monolithic approach to fluid-sructure interaction using space-time finite elements. Comput. Methods Appl. Mech. Engrg. 193 23-26 (2004) 2069-2086
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , Issue.23-26 , pp. 2069-2086
    • Hübner, B.1    Walhorn, E.2    Dinkler, D.3
  • 23
    • 0005387477 scopus 로고    scopus 로고
    • Approximation of Large-scale Dynamical Systems: An Overview, Tech. rep., Rice University
    • Technical Report
    • A. Antoulas, D. Sorensen, Approximation of Large-scale Dynamical Systems: An Overview, Tech. rep., Rice University, Technical Report, 2001.
    • (2001)
    • Antoulas, A.1    Sorensen, D.2
  • 24
    • 0002708045 scopus 로고
    • The structure of inhomogeneous turbulent flows
    • A. Yaglom, V. Tatarski Eds
    • J. Lumley, The structure of inhomogeneous turbulent flows, in: A. Yaglom, V. Tatarski (Eds.), Atmospheric Turbulence and Radio Wave Propagation, 1967.
    • (1967) Atmospheric Turbulence and Radio Wave Propagation
    • Lumley, J.1
  • 25
    • 12044259644 scopus 로고
    • The proper orthogonal decomposition in the analysis of turbulent flows
    • Berkooz G., Holmes P., and Lumley J. The proper orthogonal decomposition in the analysis of turbulent flows. Annu. Rev. Fluid Mech. 25 (1993) 539-575
    • (1993) Annu. Rev. Fluid Mech. , vol.25 , pp. 539-575
    • Berkooz, G.1    Holmes, P.2    Lumley, J.3
  • 26
    • 0036849510 scopus 로고    scopus 로고
    • Balanced model reduction via the proper orthogonal decomposition
    • Willcox K., and Peraire J. Balanced model reduction via the proper orthogonal decomposition. AIAA J. 40 11 (2002) 2323-2330
    • (2002) AIAA J. , vol.40 , Issue.11 , pp. 2323-2330
    • Willcox, K.1    Peraire, J.2
  • 28
    • 0021441691 scopus 로고
    • All optimal hankel norm approximation of linear multivariable systems, and their l-infinity error bounds
    • Glover K. All optimal hankel norm approximation of linear multivariable systems, and their l-infinity error bounds. Int. J. Control 39 6 (1984) 1145-1193
    • (1984) Int. J. Control , vol.39 , Issue.6 , pp. 1145-1193
    • Glover, K.1
  • 30
    • 0000094594 scopus 로고
    • An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
    • Lanczos C. An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. National Bureau Standards 45 (1950) 255-282
    • (1950) J. Res. National Bureau Standards , vol.45 , pp. 255-282
    • Lanczos, C.1
  • 31
    • 0002807741 scopus 로고
    • The principle of minimized iteration in the solution of the matrix eigenproblem
    • Arnoldi W.E. The principle of minimized iteration in the solution of the matrix eigenproblem. Quart. Appl. Math. 9 (1951) 17-29
    • (1951) Quart. Appl. Math. , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 33
    • 0016871727 scopus 로고
    • Nonlinear dynamics by mode superposition
    • Nickell R. Nonlinear dynamics by mode superposition. Comput. Methods Appl. Mech. Engrg. 7 (1976) 107-129
    • (1976) Comput. Methods Appl. Mech. Engrg. , vol.7 , pp. 107-129
    • Nickell, R.1
  • 34
    • 0019009732 scopus 로고
    • Reduced basis technique for nonlinear analysis of structures
    • Noor A., and Peters J. Reduced basis technique for nonlinear analysis of structures. Am. Inst. Aeronaut. Astronaut. 18 4 (1980) 455-462
    • (1980) Am. Inst. Aeronaut. Astronaut. , vol.18 , Issue.4 , pp. 455-462
    • Noor, A.1    Peters, J.2
  • 35
    • 0035838104 scopus 로고    scopus 로고
    • Dimensional model reduction in non-linear finite element dynamics of solids and structures
    • Krysl P., Lall S., and Marsden J. Dimensional model reduction in non-linear finite element dynamics of solids and structures. Int. J. Numer. Methods Engrg. 51 (2001) 479-504
    • (2001) Int. J. Numer. Methods Engrg. , vol.51 , pp. 479-504
    • Krysl, P.1    Lall, S.2    Marsden, J.3
  • 36
    • 70349433210 scopus 로고    scopus 로고
    • Reduced basis method for optimal control of unsteady viscous flows
    • Ito K., and Ravindran S.S. Reduced basis method for optimal control of unsteady viscous flows. Int. J. Comput. Fluid Dyn. (1997)
    • (1997) Int. J. Comput. Fluid Dyn.
    • Ito, K.1    Ravindran, S.S.2
  • 37
    • 0031166961 scopus 로고    scopus 로고
    • Eigenmode analysis in unsteady aerodynamics: reduced order models
    • Dowell E., Hall K., and Romanowski M. Eigenmode analysis in unsteady aerodynamics: reduced order models. Appl. Mech. Rev. 50 6 (1997) 371-386
    • (1997) Appl. Mech. Rev. , vol.50 , Issue.6 , pp. 371-386
    • Dowell, E.1    Hall, K.2    Romanowski, M.3
  • 40
    • 2342463589 scopus 로고    scopus 로고
    • Reduced models for fluid-structure interaction problems
    • Ohayon R. Reduced models for fluid-structure interaction problems. Int. J. Numer. Methods Engrg. 60 1 (2004) 139-152
    • (2004) Int. J. Numer. Methods Engrg. , vol.60 , Issue.1 , pp. 139-152
    • Ohayon, R.1
  • 43
  • 44
    • 0028194407 scopus 로고
    • A mixed hybrid FE-formulation for solution of elasto-viscoplastic problems
    • Knippers J., and Harbord R. A mixed hybrid FE-formulation for solution of elasto-viscoplastic problems. Comput. Mech. 13 (1994) 231-240
    • (1994) Comput. Mech. , vol.13 , pp. 231-240
    • Knippers, J.1    Harbord, R.2
  • 45
    • 0023960856 scopus 로고
    • Space-time finite element methods for elastodynamics: formulations and error estimates
    • Hughes T., and Hulbert G. Space-time finite element methods for elastodynamics: formulations and error estimates. Comput. Methods Appl. Mech. Engrg. 66 3 (1988) 339-363
    • (1988) Comput. Methods Appl. Mech. Engrg. , vol.66 , Issue.3 , pp. 339-363
    • Hughes, T.1    Hulbert, G.2
  • 46
    • 0031554613 scopus 로고    scopus 로고
    • A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
    • Masud A., and Hughes T. A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems. Comput. Methods Appl. Mech. Engrg. 146 1-2 (1997) 91-126
    • (1997) Comput. Methods Appl. Mech. Engrg. , vol.146 , Issue.1-2 , pp. 91-126
    • Masud, A.1    Hughes, T.2
  • 47
    • 0026820445 scopus 로고
    • A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. the concept and the preliminary numerical tests
    • Tezduyar T.E., Behr M., and Liou J. A new strategy for finite element computations involving moving boundaries and interfaces - the deforming-spatial-domain/space-time procedure: I. the concept and the preliminary numerical tests. Comput. Methods Appl. Mech. Engrg. 94 (1992) 339-351
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.94 , pp. 339-351
    • Tezduyar, T.E.1    Behr, M.2    Liou, J.3
  • 48
    • 23144442977 scopus 로고    scopus 로고
    • Fluid-structure coupling within a monolithic model involving free surface flows
    • Walhorn E., Kölke A., Hübner B., and Dinkler D. Fluid-structure coupling within a monolithic model involving free surface flows. Comput. Struct. 83 25-26 (2005) 2100-2111
    • (2005) Comput. Struct. , vol.83 , Issue.25-26 , pp. 2100-2111
    • Walhorn, E.1    Kölke, A.2    Hübner, B.3    Dinkler, D.4
  • 50
    • 26844483834 scopus 로고    scopus 로고
    • A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains
    • Hübner B., and Dinkler D. A simultaneous solution procedure for strong interactions of generalized Newtonian fluids and viscoelastic solids at large strains. Int. J. Numer. Methods Engrg. 64 (2005) 920-939
    • (2005) Int. J. Numer. Methods Engrg. , vol.64 , pp. 920-939
    • Hübner, B.1    Dinkler, D.2
  • 51
    • 48549097062 scopus 로고    scopus 로고
    • The enriched space-time finite element method (EST) for simultaneous solution of fluid-structure interaction
    • Zilian A., and Legay A. The enriched space-time finite element method (EST) for simultaneous solution of fluid-structure interaction. Int. J. Numer. Methods Engrg. 75 (2008) 305-334
    • (2008) Int. J. Numer. Methods Engrg. , vol.75 , pp. 305-334
    • Zilian, A.1    Legay, A.2
  • 52
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures, Part I-III: Coherent structures; symmetries and transformations; dynamics and scaling
    • Sirovich L. Turbulence and the dynamics of coherent structures, Part I-III: Coherent structures; symmetries and transformations; dynamics and scaling. Quart. Appl. Math. 45 (1987) 561-590
    • (1987) Quart. Appl. Math. , vol.45 , pp. 561-590
    • Sirovich, L.1
  • 55
    • 33745335814 scopus 로고    scopus 로고
    • T. Lieu, C. Farhat, M. Lesoinne, Reduced-order fluid/structure modeling of a complete aircraft configuration, Comput. Methods Appl. Mech. Engrg. 195 (41-43) (2006) 5730-5742, John H. Argyris Memorial Issue. Part II. doi:10.1016/j.cma.2005.08.026. .
    • T. Lieu, C. Farhat, M. Lesoinne, Reduced-order fluid/structure modeling of a complete aircraft configuration, Comput. Methods Appl. Mech. Engrg. 195 (41-43) (2006) 5730-5742, John H. Argyris Memorial Issue. Part II. doi:10.1016/j.cma.2005.08.026. .
  • 56
    • 70350530309 scopus 로고    scopus 로고
    • D. Amsallem, J. Cortial, K. Carlberg, C. Farhat, A method for interpolating on manifolds structural dynamics reduced-order models, Int. J. Numer. Methods Engrg. doi:10.1002/nme.2681.
    • D. Amsallem, J. Cortial, K. Carlberg, C. Farhat, A method for interpolating on manifolds structural dynamics reduced-order models, Int. J. Numer. Methods Engrg. doi:10.1002/nme.2681.


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