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Volumn 79, Issue 7, 2009, Pages 817-845

Fixed-grid fluid-structure interaction in two dimensions based on a partitioned Lattice Boltzmann and p-FEM approach

Author keywords

Finite element method; Fixed grid; Fluid Structure interaction; Lattice Boltzmann; p FEM; Verification

Indexed keywords

FINITE-ELEMENT APPROACH; FIXED GRID; FLUID-STRUCTURE INTERACTION PROBLEM; KINETIC GAS THEORY; LATTICE BOLTZMANN; LATTICE BOLTZMANN METHOD; NAVIER-STOKES EQUATION; NON-LINEAR; P-FEM; REFERENCE SOLUTION; STRUCTURAL MECHANICS; TWO-DIMENSION;

EID: 68549126793     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.2581     Document Type: Article
Times cited : (68)

References (70)
  • 2
    • 48549084115 scopus 로고    scopus 로고
    • An ALE-chimera method for large deformation fluid structure interaction
    • ECCOMAS CFD 2006, Wesseling P, Onate E, Periaux J (eds), TU Delft, The Netherlands
    • Gamnitzer P, Wall W. An ALE-chimera method for large deformation fluid structure interaction. In Proceedings of the European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, Wesseling P, Onate E, Periaux J (eds), TU Delft, The Netherlands, 2006.
    • (2006) Proceedings of the European Conference on Computational Fluid Dynamics
    • Gamnitzer, P.1    Wall, W.2
  • 3
    • 39749156453 scopus 로고    scopus 로고
    • An extended finite element method/Lagrange multiplier based approach for fluid-structure interaction
    • Gerstenberger A, Wall W. An extended finite element method/Lagrange multiplier based approach for fluid-structure interaction. Computer Methods in Applied Mechanics and Engineering 2008; 197:1699-1714.
    • (2008) Computer Methods in Applied Mechanics and Engineering , vol.197 , pp. 1699-1714
    • Gerstenberger, A.1    Wall, W.2
  • 5
    • 23144442977 scopus 로고    scopus 로고
    • Fluid structure coupling within a monolithic model involving free surface flows
    • Walhorn E, Kölke A, Hübner B, Dinkler D. Fluid structure coupling within a monolithic model involving free surface flows. Computers and Structures 2005; 83:2100-2111.
    • (2005) Computers and Structures , vol.83 , pp. 2100-2111
    • Walhorn, E.1    Kölke, A.2    Hübner, B.3    Dinkler, D.4
  • 10
    • 33751544551 scopus 로고    scopus 로고
    • The immersed boundary method
    • Peskin C. The immersed boundary method. Acta Numerica 2002; 11:1-39.
    • (2002) Acta Numerica , vol.11 , pp. 1-39
    • Peskin, C.1
  • 12
    • 34548663096 scopus 로고    scopus 로고
    • A LBM-DLM/FD method for 3D fluid-structure interactions
    • Shi X, Lim SP. A LBM-DLM/FD method for 3D fluid-structure interactions. Journal of Computational Physics 2007; 226:2028-2043.
    • (2007) Journal of Computational Physics , vol.226 , pp. 2028-2043
    • Shi, X.1    Lim, S.P.2
  • 13
    • 0035441568 scopus 로고    scopus 로고
    • Two-dimensional simulation of fluid-structure interaction using lattice-Boltzmann methods
    • Krafczyk M, Toelke J, Rank E, Schulz M. Two-dimensional simulation of fluid-structure interaction using lattice-Boltzmann methods. Computers and Structures 2001; 79:2031-2037.
    • (2001) Computers and Structures , vol.79 , pp. 2031-2037
    • Krafczyk, M.1    Toelke, J.2    Rank, E.3    Schulz, M.4
  • 14
    • 84880449631 scopus 로고    scopus 로고
    • Thin solids for fluid-structure interaction
    • In, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Scholz D, Kollmannsberger S, Düster A, Rank E. Thin solids for fluid-structure interaction. In Fluid-Structure Interaction, Modelling, Simulation and Optimisation, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 294-335.
    • (2006) Fluid-Structure Interaction, Modelling, Simulation and Optimisation , vol.53 , pp. 294-335
    • Scholz, D.1    Kollmannsberger, S.2    Düster, A.3    Rank, E.4
  • 15
    • 84880453441 scopus 로고    scopus 로고
    • Lattice Boltzmann methods on quadree-type grids for fluid-structure interaction
    • In, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Geller S, Tölke J, Krafczyk M. Lattice Boltzmann methods on quadree-type grids for fluid-structure interaction. In Fluid-Structure Interaction, Modelling, Simulation and Optimisation, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 270-293.
    • (2006) Fluid-Structure Interaction, Modelling, Simulation and Optimisation , vol.53 , pp. 270-293
    • Geller, S.1    Tölke, J.2    Krafczyk, M.3
  • 16
    • 84880484245 scopus 로고    scopus 로고
    • Proposal for numerical benchmarks for fluid-structure interaction between an elastic object and laminar incompressible flow
    • In, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Turek S, Hron J. Proposal for numerical benchmarks for fluid-structure interaction between an elastic object and laminar incompressible flow. In Fluid-Structure Interaction, Modelling, Simulation and Optimisation, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 371-385.
    • (2006) Fluid-Structure Interaction, Modelling, Simulation and Optimisation , vol.53 , pp. 371-385
    • Turek, S.1    Hron, J.2
  • 17
    • 0000239476 scopus 로고
    • Cellular automaton fluids: Basic theory
    • Wolfram S. Cellular automaton fluids: basic theory. Journal of Statistical Physics 1986; 45:471-526.
    • (1986) Journal of Statistical Physics , vol.45 , pp. 471-526
    • Wolfram, S.1
  • 19
    • 13844320326 scopus 로고
    • The lattice Boltzmann equation: Theory and applications
    • Benzi R, Succi S, Vergassola M. The lattice Boltzmann equation: theory and applications. Physical Reports 1992; 222(3):147-197.
    • (1992) Physical Reports , vol.222 , Issue.3 , pp. 147-197
    • Benzi, R.1    Succi, S.2    Vergassola, M.3
  • 21
    • 84956111432 scopus 로고
    • Lattice BGK models for Navier-Stokes equations
    • Qian Y, d'Humières D, Lallemand P. Lattice BGK models for Navier-Stokes equations. Europhysics Letters 1992; 17(6):479-484.
    • (1992) Europhysics Letters , vol.17 , Issue.6 , pp. 479-484
    • Qian, Y.1    D'Humières, D.2    Lallemand, P.3
  • 23
    • 0034206379 scopus 로고    scopus 로고
    • Theory of the lattice Boltzmann method: Dispersion, dissipation, isotropy, Galilean invariance, and stability
    • Lallemand P, Luo L. Theory of the lattice Boltzmann method: dispersion, dissipation, isotropy, Galilean invariance, and stability. Physical Review E 2000; 61(6):6546-6562.
    • (2000) Physical Review E , vol.61 , Issue.6 , pp. 6546-6562
    • Lallemand, P.1    Luo, L.2
  • 25
    • 33845729073 scopus 로고    scopus 로고
    • A thermal model based on the lattice Boltzmann method for low Mach number compressible flows
    • Tölke J. A thermal model based on the lattice Boltzmann method for low Mach number compressible flows. Journal of Computational and Theoretical Nanoscience 2006; 3(4):579-587.
    • (2006) Journal of Computational and Theoretical Nanoscience , vol.3 , Issue.4 , pp. 579-587
    • Tölke, J.1
  • 26
    • 0001661904 scopus 로고    scopus 로고
    • Accuarcy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number
    • Inamuro T, Yoshino M, Ogino F. Accuarcy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number. Physics of Fluids 1997; 9:3535.
    • (1997) Physics of Fluids , vol.9 , pp. 3535
    • Inamuro, T.1    Yoshino, M.2    Ogino, F.3
  • 28
    • 0030198781 scopus 로고    scopus 로고
    • Comparison of accuracy and performance for lattice Boltzmann and finite difference simulations of steady viscous flow
    • Noble DR, Georgiadis J, Buckius R. Comparison of accuracy and performance for lattice Boltzmann and finite difference simulations of steady viscous flow. International Journal for Numerical Methods in Fluids 1996; 23:1-18.
    • (1996) International Journal for Numerical Methods in Fluids , vol.23 , pp. 1-18
    • Noble, D.R.1    Georgiadis, J.2    Buckius, R.3
  • 29
    • 0033558359 scopus 로고    scopus 로고
    • Comparison of cellular automata and finite volume techniques for simulation of incompressible flow in complex geometries
    • Bernsdorf J, Durst F, Schäfer M. Comparison of cellular automata and finite volume techniques for simulation of incompressible flow in complex geometries. International Journal for Numerical Methods in Fluids 1999; 29:251-264.
    • (1999) International Journal for Numerical Methods in Fluids , vol.29 , pp. 251-264
    • Bernsdorf, J.1    Durst, F.2    Schäfer, M.3
  • 31
    • 0001797642 scopus 로고    scopus 로고
    • Accuracy and efficiency study of lattice Boltzmann method for steady flow simulations
    • Lai YG, Lin CL, Huang J. Accuracy and efficiency study of lattice Boltzmann method for steady flow simulations. Numerical Heat Transfer Part B: Fundamentals 2001; 39:21-43.
    • (2001) Numerical Heat Transfer Part B: Fundamentals , vol.39 , pp. 21-43
    • Lai, Y.G.1    Lin, C.L.2    Huang, J.3
  • 33
    • 33646757535 scopus 로고    scopus 로고
    • Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows
    • Geller S, Krafczyk M, Tölke J, Turek S, Hron J. Benchmark computations based on lattice-Boltzmann, finite element and finite volume methods for laminar flows. Computers and Fluids 2006; 35:888-897.
    • (2006) Computers and Fluids , vol.35 , pp. 888-897
    • Geller, S.1    Krafczyk, M.2    Tölke, J.3    Turek, S.4    Hron, J.5
  • 36
    • 16244417293 scopus 로고    scopus 로고
    • The p-version of the Finite Element Method
    • Chapter 5, Stein E, deBorst R, Hughes TJR (eds)., Wiley: New York
    • Szabó B, Düster A, Rank E. In The p-version of the Finite Element Method, Chapter 5, Stein E, deBorst R, Hughes TJR (eds). Encyclopedia of Computational Mechanics, vol. 1. Wiley: New York, 2004; 119-139.
    • (2004) Encyclopedia of Computational Mechanics , vol.1 , pp. 119-139
    • Szabó, B.1    Düster, A.2    Rank, E.3
  • 42
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized- method
    • Chung J, Hulbert G. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized- method. Journal of Applied Mechanics, Transactions ASME 1993; 60:371-375.
    • (1993) Journal of Applied Mechanics, Transactions ASME , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.2
  • 44
    • 84869000216 scopus 로고    scopus 로고
    • Fluid-structure interaction on Cartesian grids: Flow simulation and coupling interface
    • Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Brenk M, Bungartz HJ, Mehl M, Neckel T. Fluid-structure interaction on Cartesian grids: flow simulation and coupling interface. Fluid-Structure Interaction, Modelling, Simulation and Optimisation. Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 294-335.
    • (2006) Fluid-Structure Interaction, Modelling, Simulation and Optimisation , vol.53 , pp. 294-335
    • Brenk, M.1    Bungartz, H.J.2    Mehl, M.3    Neckel, T.4
  • 47
    • 0017674858 scopus 로고
    • Stabilization of staggered solution procedures for fluid-structure interaction analysis
    • Blytschko T, Geers T (eds). American Society of Mechanical Engineers: New York
    • Felippa C, Park K, DeRuntz J. Stabilization of staggered solution procedures for fluid-structure interaction analysis. In Computational Methods for Fluid-Structure Interaction Problems, vol. 26, Blytschko T, Geers T (eds). American Society of Mechanical Engineers: New York, 1977; 95-124.
    • (1977) Computational Methods for Fluid-Structure Interaction Problems , vol.26 , pp. 95-124
    • Felippa, C.1    Park, K.2    de Runtz, J.3
  • 48
    • 0020863173 scopus 로고
    • Partitioned analysis of coupled systems
    • In, Blytschko T, Hughes T (eds), Chapter 3. North-Holland: Amsterdam, New York
    • Park K, Felippa C. Partitioned analysis of coupled systems. In Computational Methods for Transient Analysis, Blytschko T, Hughes T (eds), Chapter 3. North-Holland: Amsterdam, New York, 1984; 157-219.
    • (1984) Computational Methods for Transient Analysis , pp. 157-219
    • Park, K.1    Felippa, C.2
  • 49
    • 0029310928 scopus 로고
    • Partitioned procedures for the transient solution of coupled aeroelastic problems-part I: Model problem, theory and two-dimensional application
    • Piperno S, Farhat C, Larrouturou B. Partitioned procedures for the transient solution of coupled aeroelastic problems-part I: model problem, theory and two-dimensional application. Computer Methods in Applied Mechanics and Engineering 1995; 124:79-112.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.124 , pp. 79-112
    • Piperno, S.1    Farhat, C.2    Larrouturou, B.3
  • 50
    • 0035793728 scopus 로고    scopus 로고
    • Partitioned procedures for the transient solution of coupled aroelastic problems-part II: Energy transfer analysis and three dimensional applications
    • Piperno S, Farhat C. Partitioned procedures for the transient solution of coupled aroelastic problems-part II: energy transfer analysis and three dimensional applications. Computer Methods in Applied Mechanics and Engineering 2001; 190:3147-3170.
    • (2001) Computer Methods in Applied Mechanics and Engineering , vol.190 , pp. 3147-3170
    • Piperno, S.1    Farhat, C.2
  • 52
    • 32044458550 scopus 로고    scopus 로고
    • Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity
    • Farhat C, van der Zee K, Geuzaine P. Provably second-order time-accurate loosely-coupled solution algorithms for transient nonlinear computational aeroelasticity. Computer Methods in Applied Mechanics and Engineering 2006; 195:1973-2001.
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , pp. 1973-2001
    • Farhat, C.1    van der Zee, K.2    Geuzaine, P.3
  • 53
    • 0035504923 scopus 로고    scopus 로고
    • Momentum transfer of a Boltzmann-Lattice fluid with boundaries
    • Bouzidi M, Firdaouss M, Lallemand P. Momentum transfer of a Boltzmann-Lattice fluid with boundaries. Physics of Fluids 2001; 13(11):3452-3459.
    • (2001) Physics of Fluids , vol.13 , Issue.11 , pp. 3452-3459
    • Bouzidi, M.1    Firdaouss, M.2    Lallemand, P.3
  • 55
    • 40549109949 scopus 로고    scopus 로고
    • Two-relaxation-time lattice Boltzmann scheme: About parametrization, velocity, pressure and mixed boundary conditions
    • Ginzburg I, Verhaeghe F, d'Humières D. Two-relaxation-time lattice Boltzmann scheme: about parametrization, velocity, pressure and mixed boundary conditions. Communications in Computational Physics 2008; 3:427-478.
    • (2008) Communications in Computational Physics , vol.3 , pp. 427-478
    • Ginzburg, I.1    Verhaeghe, F.2    D'Humières, D.3
  • 57
    • 41349122644 scopus 로고    scopus 로고
    • Force evaluation in the lattice Boltzmann method involving curved gemoetry
    • 041203
    • Mei R, Yu D, Shyy W, Lou L. Force evaluation in the lattice Boltzmann method involving curved gemoetry. Physical Review E 2002; 65:041203.
    • (2002) Physical Review E , vol.65
    • Mei, R.1    Yu, D.2    Shyy, W.3    Lou, L.4
  • 58
    • 84971372881 scopus 로고
    • A discontinuous Galerkin method for the Navier-Stokes equations
    • Lorensen W, Cline H. A discontinuous Galerkin method for the Navier-Stokes equations. ACM SIGGRAPH Computer Graphics Archive 1987; 21:163-169.
    • (1987) ACM SIGGRAPH Computer Graphics Archive , vol.21 , pp. 163-169
    • Lorensen, W.1    Cline, H.2
  • 64
    • 84880459415 scopus 로고    scopus 로고
    • An implicit partitioned method for the numerical simulation of fluid-structure interaction
    • In, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, Springer: Berlin
    • Schäfer M, Heck M, Yigit S. An implicit partitioned method for the numerical simulation of fluid-structure interaction. In Fluid-Structure Interaction, Modelling, Simulation and Optimisation, Bungartz H, Schäfer M (eds). Lecture Notes in Computational Science and Engineering, vol. 53. Springer: Berlin, 2006; 171-194.
    • (2006) Fluid-Structure Interaction, Modelling, Simulation and Optimisation , vol.53 , pp. 171-194
    • Schäfer, M.1    Heck, M.2    Yigit, S.3
  • 66
    • 33750950297 scopus 로고    scopus 로고
    • Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible flows
    • Förster C, Wall W, Ramm E. Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible flows. Computer Methods in Applied Mechanics and Engineering 2007; 196: 1278-1293.
    • (2007) Computer Methods in Applied Mechanics and Engineering , vol.196 , pp. 1278-1293
    • Förster, C.1    Wall, W.2    Ramm, E.3
  • 68
    • 68549093046 scopus 로고    scopus 로고
    • A note on the artificial added mass effect for compressible flows interaction with structures
    • submitted
    • Förster C, Wall W. A note on the artificial added mass effect for compressible flows interaction with structures. Computer Methods in Applied Mechanics and Engineering 2008; submitted.
    • (2008) Computer Methods in Applied Mechanics and Engineering
    • Förster, C.1    Wall, W.2
  • 69
    • 65849301564 scopus 로고    scopus 로고
    • Added mass effects of compressible and incompressible flows in fluid-structure interaction
    • 021206
    • van Brummelen EH. Added mass effects of compressible and incompressible flows in fluid-structure interaction. Journal of Applied Mechanics 2009; 76:021206.
    • (2009) Journal of Applied Mechanics , vol.76
    • van Brummelen, E.H.1


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