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Volumn 33, Issue 6, 2011, Pages 3538-3561

Local pod plus galerkin projection in the unsteady lid-driven cavity problem

Author keywords

Computational fluid dynamics; Galerkin projection; Proper orthogonal decomposition; Reduced order models; Unsteady driven cavity

Indexed keywords

CODES (SYMBOLS); FLOW OF FLUIDS; GALERKIN METHODS; ONE DIMENSIONAL; PRINCIPAL COMPONENT ANALYSIS; REYNOLDS NUMBER;

EID: 84856551658     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/100816006     Document Type: Article
Times cited : (64)

References (37)
  • 2
    • 65849119296 scopus 로고    scopus 로고
    • A method to generate computationally efficient reduced order models
    • D. Alonso, A. Velazquez, and J. M. Vega, A method to generate computationally efficient reduced order models, Comput. Methods Appl. Mech. Engrg., 198 (2009), pp. 2683-2691.
    • (2009) Comput. Methods Appl. Mech. Engrg. , vol.198 , pp. 2683-2691
    • Alonso, D.1    Velazquez, A.2    Vega, J.M.3
  • 3
    • 0036013603 scopus 로고    scopus 로고
    • The world of the complex Ginzburg-Landau equation
    • I. S. Aranson and L. Kramer, The world of the complex Ginzburg-Landau equation, Rev. Mod. Phys., 74 (2002), pp. 100-142.
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 100-142
    • Aranson, I.S.1    Kramer, L.2
  • 4
    • 0037196233 scopus 로고    scopus 로고
    • An analysis and comparison of the time accuracy of fractional-step methods for the Navier-Stokes equations on staggered grids
    • DOI 10.1002/fld.217
    • S. Armfield and R. Street, An analysis and comparison of the time accuracy of fractionalstep methods for the Navier-Stokes equations on staggered grids, Int. J. Numer. Methods Fluids, 38 (2002), pp. 255-282. (Pubitemid 34054560)
    • (2002) International Journal for Numerical Methods in Fluids , vol.38 , Issue.3 , pp. 255-282
    • Armfield, S.1    Street, R.2
  • 5
    • 56549095007 scopus 로고    scopus 로고
    • Missing point estimation in models described by proper orthogonal decomposition
    • P. Astrid, S. Weiland, K. Willcox, and T. Backx, Missing point estimation in models described by proper orthogonal decomposition, IEEE Trans. Automat. Control, 53 (2008), pp. 2237-2251.
    • (2008) IEEE Trans. Automat. Control , vol.53 , pp. 2237-2251
    • Astrid, P.1    Weiland, S.2    Willcox, K.3    Backx, T.4
  • 6
    • 84972308308 scopus 로고
    • The dynamics of coherent structures in the wall region of a turbulent boundary layer
    • N. Aubry, P. Holmes, J. L. Lumley, and E. Stone, The dynamics of coherent structures in the wall region of a turbulent boundary layer, J. Fluid Mech., 192 (1988), pp. 115-173.
    • (1988) J. Fluid Mech. , vol.192 , pp. 115-173
    • Aubry, N.1    Holmes, P.2    Lumley, J.L.3    Stone, E.4
  • 7
    • 59149099445 scopus 로고    scopus 로고
    • Stable Galerkin reduced order models for linearized compressible flow
    • M. F. Barone, I. Kalashnikova, D. J. Segalman, and H. K. Thornquist, Stable Galerkin reduced order models for linearized compressible flow, J. Comput. Phys., 288 (2009), pp. 1932-1946.
    • (2009) J. Comput. Phys. , vol.288 , pp. 1932-1946
    • Barone, M.F.1    Kalashnikova, I.2    Segalman, D.J.3    Thornquist, H.K.4
  • 8
    • 45849126783 scopus 로고    scopus 로고
    • Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models
    • M. Bergmann and L. Cordier, Optimal control of the cylinder wake in the laminar regime by trust-region methods and POD reduced-order models, J. Comput. Phys., 227 (2008), pp. 7813-7840.
    • (2008) J. Comput. Phys. , vol.227 , pp. 7813-7840
    • Bergmann, M.1    Cordier, L.2
  • 10
    • 12044259644 scopus 로고
    • The proper orthogonal decomposition in the analysis of turbulent flows
    • G. Berkooz, P. Holmes, and J. L. Lumley, The proper orthogonal decomposition in the analysis of turbulent flows, Annu. Rev. Fluid Mech., 25 (1993), pp. 539-575.
    • (1993) Annu. Rev. Fluid Mech. , vol.25 , pp. 539-575
    • Berkooz, G.1    Holmes, P.2    Lumley, J.L.3
  • 11
    • 41349107246 scopus 로고    scopus 로고
    • On POD reduced models of tubular reactor with periodic regimes
    • K. Bizon, G. Continillo, L. Russo, and J. Smula, On POD reduced models of tubular reactor with periodic regimes, Comput. Chem. Eng., 32 (2008), pp. 1305-1315.
    • (2008) Comput. Chem. Eng. , vol.32 , pp. 1305-1315
    • Bizon, K.1    Continillo, G.2    Russo, L.3    Smula, J.4
  • 13
    • 0000878258 scopus 로고    scopus 로고
    • Proper orthogonal decomposition and low-dimensional models for driven cavity flows
    • W. Cazemier, R. W. C. P. Verstappen, and A. E. P. Veldman, Proper orthogonal decomposition and low-dimensional models for driven cavity flows, Phys. Fluids, 10 (1998), pp. 1685-1699. (Pubitemid 128613831)
    • (1998) Physics of Fluids , vol.10 , Issue.7 , pp. 1685-1699
    • Cazemier, W.1    Verstappen, R.W.C.P.2    Veldman, A.E.P.3
  • 15
    • 18344390422 scopus 로고    scopus 로고
    • Calibrated reduced-order POD-Galerkin system for fluid flow modelling
    • DOI 10.1016/j.jcp.2005.01.008, PII S0021999105000239
    • M. Couplet, C. Basdevant, and P. Sagaut, Calibrated reduced-order POD-Galerkin system for fluid flow modelling, J. Comput. Phys., 207 (2005), pp. 192-220. (Pubitemid 40640301)
    • (2005) Journal of Computational Physics , vol.207 , Issue.1 , pp. 192-220
    • Couplet, M.1    Basdevant, C.2    Sagaut, P.3
  • 16
    • 0034965813 scopus 로고    scopus 로고
    • Modeling of fluid-structure interaction
    • E. H. Dowell and K. C. Hall, Modeling of fluid-structure interaction, Annu. Rev. Fluid Mech., 33 (2001), pp. 445-490.
    • (2001) Annu. Rev. Fluid Mech. , vol.33 , pp. 445-490
    • Dowell, E.H.1    Hall, K.C.2
  • 17
    • 0020179174 scopus 로고
    • Oscillatory flow inside a square cavity
    • P. W. Duck, Oscillatory flow inside a square cavity, J. Fluid Mech., 122 (1982), pp. 215-234. (Pubitemid 13479467)
    • (1982) Journal of Fluid Mechanics , vol.122 , pp. 215-234
    • Duck, P.W.1
  • 18
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • U. Ghia, K. N. Ghia, and C. T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys., 48 (1982), pp. 387-411.
    • (1982) J. Comput. Phys. , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 20
    • 5344274815 scopus 로고
    • Chaotic attractors in crisis
    • C. Grebogi, E. Ott, and J. A. Yorke, Chaotic attractors in crisis, Phys. Rev. Lett., 48 (1982), pp. 1507-1510.
    • (1982) Phys. Rev. Lett. , vol.48 , pp. 1507-1510
    • Grebogi, C.1    Ott, E.2    Yorke, J.A.3
  • 22
    • 33745335814 scopus 로고    scopus 로고
    • Reduced-order fluid/structure modeling of a complete aircraft configuration
    • DOI 10.1016/j.cma.2005.08.026, PII S0045782505005153
    • T. Lieu, C. Farhat, and M. Lesoinne, Reduced-order fluid/structure modeling of a complete aircraft configuration, Comput. Methods Appl. Mech. Engrg., 195 (2006), pp. 5730-5742. (Pubitemid 43942198)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.41-43 , pp. 5730-5742
    • Lieu, T.1    Farhat, C.2    Lesoinne, M.3
  • 23
    • 1342283898 scopus 로고    scopus 로고
    • Reduced-order modelling: New approaches for computations physics
    • D. J. Lucia, P. S. Beran, and W. A. Silva, Reduced-order modelling: New approaches for computations physics, Prog. Aeosp. Sci., 40 (2004), pp. 51-117.
    • (2004) Prog. Aeosp. Sci. , vol.40 , pp. 51-117
    • Lucia, D.J.1    Beran, P.S.2    Silva, W.A.3
  • 24
    • 0842279679 scopus 로고    scopus 로고
    • A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
    • DOI 10.1017/S0022112003006694
    • B. R. Noack, K. Afanasiev, M. Morzynski, G. Tadmor, and F. Thiele, A hierarchy of low-dimensional models for the transient and post-transient cylinder wake, J. Fluid Mech., 497 (2003), pp. 335-363. (Pubitemid 38171602)
    • (2003) Journal of Fluid Mechanics , vol.497 , pp. 335-363
    • Noack, B.R.1    Afanasiev, K.2    Morzynski, M.3    Tadmor, G.4    Thiele, F.5
  • 25
    • 77957171362 scopus 로고    scopus 로고
    • Reduced order models based on local POD plus Galerkin projection
    • M. L. Rapún and J. M. Vega, Reduced order models based on local POD plus Galerkin projection, J. Comput. Phys., 229 (2010), pp. 3046-3063.
    • (2010) J. Comput. Phys. , vol.229 , pp. 3046-3063
    • Rapún, M.L.1    Vega, J.M.2
  • 26
    • 0034435557 scopus 로고    scopus 로고
    • Reduced-order adaptive controllers for fluid flows using POD
    • DOI 10.1023/A:1011184714898
    • S. S. Ravindran, Reduced-order adaptive controllers for fluid flows using POD, J. Sci. Comput., 15 (2000), pp. 457-478. (Pubitemid 32672365)
    • (2000) Journal of Scientific Computing , vol.15 , Issue.4 , pp. 457-478
    • Ravindran, S.S.1
  • 27
    • 0034343536 scopus 로고    scopus 로고
    • On low-dimensional Galerkin models for fluid flow
    • D. Rempfer, On low-dimensional Galerkin models for fluid flow, Theoret. Comput. Fluid Dyn., 14 (2000), pp. 75-88.
    • (2000) Theoret. Comput. Fluid Dyn. , vol.14 , pp. 75-88
    • Rempfer, D.1
  • 28
    • 0038814407 scopus 로고    scopus 로고
    • Low-dimensional modeling and numerical simulation of transition in simple shear flows
    • DOI 10.1146/annurev.fluid.35.030602.113908
    • D. Rempfer, Low-dimensional modeling and numerical simulation of transition in simple shear flows, in Annual Review of Fluid Mechanics, Annu. Rev. Fluid Mech. 35, Annual Reviews, Palo Alto, CA, 2003, pp. 229-265. (Pubitemid 37515236)
    • (2003) Annual Review of Fluid Mechanics , vol.35 , pp. 229-265
    • Rempfer, D.1
  • 29
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • R. Schreiber and H. B. Keller, Driven cavity flows by efficient numerical techniques, J. Comput. Phys., 49 (1983), pp. 310-333.
    • (1983) J. Comput. Phys. , vol.49 , pp. 310-333
    • Schreiber, R.1    Keller, H.B.2
  • 31
    • 47949093987 scopus 로고    scopus 로고
    • Low-dimensional modelling of a transient cylinder wake using double proper orthogonal decomposition
    • S. G. Siegel, J. Seidel, C. Fagley, D. M. Luchtenburg, K. Cohen, and T. McLaughlin, Low-dimensional modelling of a transient cylinder wake using double proper orthogonal decomposition, J. Fluid Mech., 610 (2008), pp. 1-42.
    • (2008) J. Fluid Mech. , vol.610 , pp. 1-42
    • Siegel, S.G.1    Seidel, J.2    Fagley, C.3    Luchtenburg, D.M.4    Cohen, K.5    McLaughlin, T.6
  • 32
    • 0842333833 scopus 로고    scopus 로고
    • A spectral viscosity method for correcting the long-term behavior of POD models
    • DOI 10.1016/j.jcp.2003.08.021
    • S. Sirisup and G. E. Karniadakis, A spectral viscosity method for correcting the long-term behavior of POD models, J. Comput. Phys., 194 (2004), pp. 92-116. (Pubitemid 38184233)
    • (2004) Journal of Computational Physics , vol.194 , Issue.1 , pp. 92-116
    • Sirisup, S.1    Karniadakis, G.E.2
  • 33
    • 16344386614 scopus 로고    scopus 로고
    • Stability and accuracy of periodic flow solutions obtained by a POD-penalty method
    • DOI 10.1016/j.physd.2005.02.006, PII S016727890500076X
    • S. Sirisup and G. E. Karniadakis, Stability and accuracy of periodic flow solutions obtained by a POD-penalty method, Phys. D, 202 (2005), pp. 218-237. (Pubitemid 40467088)
    • (2005) Physica D: Nonlinear Phenomena , vol.202 , Issue.3-4 , pp. 218-237
    • Sirisup, S.1    Karniadakis, G.E.2
  • 34
    • 18844459925 scopus 로고    scopus 로고
    • Equation-free/Galerkin-free POD-assisted computation of incompressible flows
    • DOI 10.1016/j.jcp.2005.01.024, PII S0021999105000410
    • S. Sirisup, G. E. Karniadakis, D. Xiu, and I. G. Kevrekidis, Equations-free/Galerkin-free POD assisted computation of incompressible flows, J. Comput. Phys., 207 (2005), pp. 568-587. (Pubitemid 40696982)
    • (2005) Journal of Computational Physics , vol.207 , Issue.2 , pp. 568-587
    • Sirisup, S.1    Karniadakis, G.E.2    Xiu, D.3    Kevrekidis, I.G.4
  • 35
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures
    • L. Sirovich, Turbulence and the dynamics of coherent structures, Quart. Appl. Math., 45 (1987), pp. 561-590.
    • (1987) Quart. Appl. Math. , vol.45 , pp. 561-590
    • Sirovich, L.1
  • 36
    • 77953468682 scopus 로고    scopus 로고
    • Mean field representation of the natural and actuated cylinder wake
    • G. Tadmor, O. Lehmann, B. R. Noack, and M. Morzynski, Mean field representation of the natural and actuated cylinder wake, Phys. Fluids, 22 (2010), 034102.
    • (2010) Phys. Fluids , vol.22 , pp. 034102
    • Tadmor, G.1    Lehmann, O.2    Noack, B.R.3    Morzynski, M.4
  • 37
    • 77049124832 scopus 로고    scopus 로고
    • Using automatic differentiation to create a nonlinear reduced-order-model aerodynamic solver
    • J. P. Thomas, E. H. Dowell, and K. C. Hall, Using automatic differentiation to create a nonlinear reduced-order-model aerodynamic solver, AIAA J., 48 (2010), pp. 19-24.
    • (2010) AIAA J. , vol.48 , pp. 19-24
    • Thomas, J.P.1    Dowell, E.H.2    Hall, K.C.3


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