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Volumn 20, Issue 11, 2008, Pages

Compressible proper orthogonal decomposition/Galerkin reduced-order model of self-sustained oscillations in a cavity

Author keywords

[No Author keywords available]

Indexed keywords

AEROACOUSTICS; COMPUTATION THEORY; DYNAMICAL SYSTEMS; ENERGY TRANSFER; GALERKIN METHODS; INCOMPRESSIBLE FLOW; PRINCIPAL COMPONENT ANALYSIS;

EID: 57149103505     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2998448     Document Type: Article
Times cited : (34)

References (40)
  • 1
    • 0037171406 scopus 로고    scopus 로고
    • "On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities"
    • JFLSA70022-112010.1017/S0022112001007534
    • C. Rowley, T. Colonius, and A. Basu, "On self-sustained oscillations in two-dimensional compressible flow over rectangular cavities," J. Fluid Mech. JFLSA70022-112010.1017/S0022112001007534 455, 315 (2002).
    • (2002) J. Fluid Mech. , vol.455 , pp. 315
    • Rowley, C.1    Colonius, T.2    Basu, A.3
  • 2
    • 19644373646 scopus 로고    scopus 로고
    • "Numerical evidence of mode switching in the flow-induced oscillations by a cavity"
    • ZZZZZZ1475-472X
    • X. Gloerfelt, C. Bogey, and C. Bailly, "Numerical evidence of mode switching in the flow-induced oscillations by a cavity," Int. J. Aeroacoust. ZZZZZZ1475-472X 2, 99 (2003).
    • (2003) Int. J. Aeroacoust. , vol.2 , pp. 99
    • Gloerfelt, X.1    Bogey, C.2    Bailly, C.3
  • 3
    • 0037826857 scopus 로고    scopus 로고
    • "Direct noise computation of adaptive control applied to a cavity flow"
    • O. Marsden, X. Gloerfelt, and C. Bailly, "Direct noise computation of adaptive control applied to a cavity flow," C. R. Méc., Acad. Sci. Paris 331, 423 (2003).
    • (2003) C. R. Méc., Acad. Sci. Paris , vol.331 , pp. 423
    • Marsden, O.1    Gloerfelt, X.2    Bailly, C.3
  • 5
    • 84972308308 scopus 로고
    • "The dynamics of coherent structures in the wall region of a turbulent boundary layer"
    • JFLSA70022-112010.1017/S0022112088001818
    • N. Aubry, P. Holmes, J. Lumley, and E. Stone, "The dynamics of coherent structures in the wall region of a turbulent boundary layer," J. Fluid Mech. JFLSA70022-112010.1017/S0022112088001818 192, 115 (1988).
    • (1988) J. Fluid Mech. , vol.192 , pp. 115
    • Aubry, N.1    Holmes, P.2    Lumley, J.3    Stone, E.4
  • 6
    • 0029657003 scopus 로고    scopus 로고
    • "Investigations of boundary layer transition via Galerkin projections on empirical eigenfunctions"
    • PHFLE61070-663110.1063/1.868825
    • D. Rempfer, "Investigations of boundary layer transition via Galerkin projections on empirical eigenfunctions," Phys. Fluids PHFLE61070-663110.1063/1.868825 8, 175 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 175
    • Rempfer, D.1
  • 7
    • 0038814407 scopus 로고    scopus 로고
    • "Low-dimensional modeling and numerical simulation of transition in simple shear flows"
    • ARVFA30066-418910.1146/annurev.fluid.35.030602.113908
    • D. Rempfer, "Low-dimensional modeling and numerical simulation of transition in simple shear flows," Annu. Rev. Fluid Mech. ARVFA30066-418910.1146/annurev.fluid.35.030602.113908 35, 229 (2003).
    • (2003) Annu. Rev. Fluid Mech. , vol.35 , pp. 229
    • Rempfer, D.1
  • 8
    • 0028160279 scopus 로고
    • "Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour"
    • JFLSA70022-112010.1017/S0022112094003228
    • M. Rajaee, S. Karlsson, and L. Sirovich, "Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour," J. Fluid Mech.JFLSA70022-112010.1017/S0022112094003228 258, 1 (1994).
    • (1994) J. Fluid Mech. , vol.258 , pp. 1
    • Rajaee, M.1    Karlsson, S.2    Sirovich, L.3
  • 9
    • 0035949148 scopus 로고    scopus 로고
    • "Examination of large-scale structures in a turbulent plane mixing layer. Part 2. Dynamical systems model"
    • JFLSA70022-112010.1017/S0022112001004803
    • L. Ukeiley, L. Cordier, R. Manceau, J. Delville, M. Glauser, and J. Bonnet, "Examination of large-scale structures in a turbulent plane mixing layer. Part 2. Dynamical systems model," J. Fluid Mech. JFLSA70022-112010.1017/S0022112001004803 441, 67 (2001).
    • (2001) J. Fluid Mech. , vol.441 , pp. 67
    • Ukeiley, L.1    Cordier, L.2    Manceau, R.3    Delville, J.4    Glauser, M.5    Bonnet, J.6
  • 10
    • 0037053486 scopus 로고    scopus 로고
    • "A low-dimensional model for simulating 3D cylinder flow"
    • JFLSA70022-112010.1017/S0022112002007991
    • X. Ma and G. Karniadakis, "A low-dimensional model for simulating 3D cylinder flow," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112002007991 458, 181 (2002).
    • (2002) J. Fluid Mech. , vol.458 , pp. 181
    • Ma, X.1    Karniadakis, G.2
  • 11
    • 1842688147 scopus 로고    scopus 로고
    • "Low-order modelling of laminar flow regimes past a confined square cylinder"
    • JFLSA70022-112010.1017/S0022112004007906
    • B. Galletti, C. Bruneau, L. Zannetti, and A. Iollo, "Low-order modelling of laminar flow regimes past a confined square cylinder," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004007906 503, 161 (2004).
    • (2004) J. Fluid Mech. , vol.503 , pp. 161
    • Galletti, B.1    Bruneau, C.2    Zannetti, L.3    Iollo, A.4
  • 12
    • 0032074812 scopus 로고    scopus 로고
    • "A low-dimensional approach for the minimal flow unit"
    • JFLSA70022-112010.1017/S0022112098008854
    • B. Podvin and J. Lumley, "A low-dimensional approach for the minimal flow unit," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112098008854 362, 121 (1998).
    • (1998) J. Fluid Mech. , vol.362 , pp. 121
    • Podvin, B.1    Lumley, J.2
  • 13
    • 0034343536 scopus 로고    scopus 로고
    • "On low-dimensional Galerkin models for fluid flow"
    • TCFDEP0935-496410.1007/s001620050131
    • D. Rempfer, "On low-dimensional Galerkin models for fluid flow," Theor. Comput. Fluid Dyn. TCFDEP0935-496410.1007/ s001620050131 14, 75 (2000).
    • (2000) Theor. Comput. Fluid Dyn. , vol.14 , pp. 75
    • Rempfer, D.1
  • 14
    • 0000878258 scopus 로고    scopus 로고
    • "Proper orthogonal decomposition and low-dimensional models for driven cavity flows"
    • PHFLE61070-663110.1063/1.869686
    • W. Cazemier, R. Verstappen, and A. Veldman, "Proper orthogonal decomposition and low-dimensional models for driven cavity flows," Phys. Fluids PHFLE61070-663110.1063/1.869686 10, 1685 (1998).
    • (1998) Phys. Fluids , vol.10 , pp. 1685
    • Cazemier, W.1    Verstappen, R.2    Veldman, A.3
  • 15
    • 57149118565 scopus 로고    scopus 로고
    • "Proper orthogonal decomposition in optimal control of fluids"
    • S. Ravindran, "Proper orthogonal decomposition in optimal control of fluids," NASA Report No. TM 1999-209113, 1999; http://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/ 19990035926_1999046087.pdf.
    • (1999) NASA Report No. TM 1999-209113
    • Ravindran, S.1
  • 16
    • 0007829154 scopus 로고    scopus 로고
    • "Suppression of vortex shedding insprired by a low-dimensional model"
    • ZZZZZZ0889-9746
    • S. Tang and N. Aubry, "Suppression of vortex shedding insprired by a low-dimensional model," J. Fluids Struct. ZZZZZZ0889-9746 14, 443 (2000).
    • (2000) J. Fluids Struct. , vol.14 , pp. 443
    • Tang, S.1    Aubry, N.2
  • 17
    • 0035067637 scopus 로고    scopus 로고
    • "The influence of control on proper orthogonal decomposition of wall-bounded turbulent flows"
    • PHFLE61070-663110.1063/1.1333038
    • R. Prabhu, S. Collis, and Y. Chang, "The influence of control on proper orthogonal decomposition of wall-bounded turbulent flows," Phys. Fluids PHFLE61070-663110.1063/1.1333038 13, 520 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 520
    • Prabhu, R.1    Collis, S.2    Chang, Y.3
  • 18
    • 27144538190 scopus 로고    scopus 로고
    • "Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model"
    • PHFLE61070-663110.1063/1.2033624
    • M. Bergmann, L. Cordier, and J.-P. Brancher, "Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model," Phys. Fluids PHFLE61070-663110.1063/1.2033624 17, 097101 (2005).
    • (2005) Phys. Fluids , vol.17 , pp. 097101
    • Bergmann, M.1    Cordier, L.2    Brancher, J.-P.3
  • 19
    • 0842343715 scopus 로고    scopus 로고
    • "Model reduction for compressible flows using POD and Galerkin projection"
    • PDNPDT0167-278910.1016/j.physd.2003.03.001
    • C. Rowley, T. Colonius, and R. Murray, "Model reduction for compressible flows using POD and Galerkin projection," Physica D PDNPDT0167-278910.1016/j.physd.2003.03.001 189, 115 (2004).
    • (2004) Physica D , vol.189 , pp. 115
    • Rowley, C.1    Colonius, T.2    Murray, R.3
  • 20
    • 57149114466 scopus 로고    scopus 로고
    • "La décomposition orthogonale propre appliquée aux équations de Navier-Stokes compressibles instationnaires"
    • G. Vigo, "La décomposition orthogonale propre appliquée aux équations de Navier-Stokes compressibles instationnaires," INRIA Rapport de Recherche No. 3385, 1998; http://www.inria.fr/rrrt/rr-3385.html.
    • (1998) INRIA Rapport De Recherche No. , vol.3385
    • Vigo, G.1
  • 21
    • 0034400382 scopus 로고    scopus 로고
    • "Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations"
    • TCFDEP0935-496410.1007/s001620050119
    • A. Iollo, S. Lanteri, and J.-A. Désidéri, "Stability properties of POD-Galerkin approximations for the compressible Navier-Stokes equations," Theor. Comput. Fluid Dyn.TCFDEP0935-496410.1007/s001620050119 13, 377 (2000).
    • (2000) Theor. Comput. Fluid Dyn. , vol.13 , pp. 377
    • Iollo, A.1    Lanteri, S.2    Désidéri, J.-A.3
  • 22
    • 0842333833 scopus 로고    scopus 로고
    • "A spectral viscosity method for correcting the long-term behavior of POD models"
    • JCTPAH0021-999110.1016/j.jcp.2003.08.021
    • S. Sirisup and G. Karniadakis, "A spectral viscosity method for correcting the long-term behavior of POD models," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2003.08.021 194, 92 (2004).
    • (2004) J. Comput. Phys. , vol.194 , pp. 92
    • Sirisup, S.1    Karniadakis, G.2
  • 23
    • 0842279679 scopus 로고    scopus 로고
    • "A hierarchy of low-dimensional models for the transient and post-transient cylinder wake"
    • JFLSA70022-112010.1017/S0022112003006694
    • B. 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. JFLSA70022-112010.1017/ S0022112003006694 497, 335 (2003).
    • (2003) J. Fluid Mech. , vol.497 , pp. 335
    • Noack, B.1    Afanasiev, K.2    Morzynski, M.3    Tadmor, G.4    Thiele, F.5
  • 24
    • 33845790413 scopus 로고    scopus 로고
    • "Two stable POD-based approximations to the Navier-Stokes equations"
    • CVSCFY1432-936010.1007/s007910050052
    • A. Iollo, A. Dervieux, J.-A. Désidéri, and S. Lanteri, "Two stable POD-based approximations to the Navier-Stokes equations," Comput. Visualization Sci. CVSCFY1432-936010.1007/ s007910050052 3, 61 (2000).
    • (2000) Comput. Visualization Sci. , vol.3 , pp. 61
    • Iollo, A.1    Dervieux, A.2    Désidéri, J.-A.3    Lanteri, S.4
  • 25
    • 16344386614 scopus 로고    scopus 로고
    • "Stability and accuracy of periodic flow solutions obtained by a POD-penalty method"
    • PDNPDT0167-278910.1016/j.physd.2005.02.006
    • S. Sirisup and G. Karniadakis, "Stability and accuracy of periodic flow solutions obtained by a POD-penalty method," Physica D PDNPDT0167-278910.1016/j.physd.2005.02.006 202, 218 (2005).
    • (2005) Physica D , vol.202 , pp. 218
    • Sirisup, S.1    Karniadakis, G.2
  • 26
    • 13844250570 scopus 로고    scopus 로고
    • "The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows"
    • JFLSA70022-112010.1017/S0022112004002149
    • B. Noack, P. Papas, and P. Monkewitz, "The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004002149 523, 339 (2005).
    • (2005) J. Fluid Mech. , vol.523 , pp. 339
    • Noack, B.1    Papas, P.2    Monkewitz, P.3
  • 27
    • 18344390422 scopus 로고    scopus 로고
    • "Calibrated reduced-order POD-Galerkin system for fluid flow modelling"
    • JCTPAH0021-999110.1016/j.jcp.2005.01.008
    • M. Couplet, C. Basdevant, and P. Sagaut, "Calibrated reduced-order POD-Galerkin system for fluid flow modelling," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2005.01.008 207, 192 (2005).
    • (2005) J. Comput. Phys. , vol.207 , pp. 192
    • Couplet, M.1    Basdevant, C.2    Sagaut, P.3
  • 28
    • 0008458408 scopus 로고
    • "On the hidden beauty of the proper orthogonal decomposition"
    • TCFDEP0935-496410.1007/BF00271473
    • N. Aubry, "On the hidden beauty of the proper orthogonal decomposition," Theor. Comput. Fluid Dyn. TCFDEP0935-496410.1007/ BF00271473 2, 339 (1991).
    • (1991) Theor. Comput. Fluid Dyn. , vol.2 , pp. 339
    • Aubry, N.1
  • 29
    • 0000246863 scopus 로고
    • "Turbulence and the dynamics of coherent structures, Parts I-III"
    • QAMAAY0033-569X
    • L. Sirovich, "Turbulence and the dynamics of coherent structures, Parts I-III," Q. Appl. Math. QAMAAY0033-569X 45, 561 (1987).
    • (1987) Q. Appl. Math. , vol.45 , pp. 561
    • Sirovich, L.1
  • 30
    • 0842333835 scopus 로고    scopus 로고
    • "A family of low dispersive and low dissipative explicit schemes for noise computation"
    • JCTPAH0021-999110.1016/j.jcp.2003.09.003
    • C. Bogey and C. Bailly, "A family of low dispersive and low dissipative explicit schemes for noise computation," J. Comput. Phys. JCTPAH0021-999110.1016/j.jcp.2003.09.003 194, 194 (2004).
    • (2004) J. Comput. Phys. , vol.194 , pp. 194
    • Bogey, C.1    Bailly, C.2
  • 31
    • 0030518618 scopus 로고    scopus 로고
    • "Radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances in a nonuniform mean flow"
    • JCOAEJ0218-396X10.1142/S0218396X96000040
    • C. Tam and Z. Dong, "Radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances in a nonuniform mean flow," J. Comput. Acoust. JCOAEJ0218-396X10.1142/ S0218396X96000040 4, 175 (1996).
    • (1996) J. Comput. Acoust. , vol.4 , pp. 175
    • Tam, C.1    Dong, Z.2
  • 32
    • 19644367955 scopus 로고    scopus 로고
    • "Large-eddy simulation of a high Reynolds number flow over a cavity including radiated noise"
    • AIAA Paper 2004-2863
    • X. Gloerfelt, "Large-eddy simulation of a high Reynolds number flow over a cavity including radiated noise," AIAA Paper, 2004-2863, 2004.
    • (2004)
    • Gloerfelt, X.1
  • 34
    • 0142027695 scopus 로고    scopus 로고
    • "Intermodal energy transfers in a proper orthogonal decomposition - Galerkin representation of a turbulent separated flow"
    • JFLSA70022-112010.1017/S0022112003005615
    • M. Couplet, P. Sagaut, and C. Basdevant, "Intermodal energy transfers in a proper orthogonal decomposition - Galerkin representation of a turbulent separated flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003005615 491, 275 (2003).
    • (2003) J. Fluid Mech. , vol.491 , pp. 275
    • Couplet, M.1    Sagaut, P.2    Basdevant, C.3
  • 35
    • 85088345880 scopus 로고    scopus 로고
    • "Numerical investigation of the coexistence of multiple tones in flow-induced cavity noise"
    • AIAA Paper 2003-3234
    • X. Gloerfelt, C. Bogey, and C. Bailly, "Numerical investigation of the coexistence of multiple tones in flow-induced cavity noise," AIAA Paper, 2003-3234, 2003.
    • (2003)
    • Gloerfelt, X.1    Bogey, C.2    Bailly, C.3
  • 37
    • 0142136015 scopus 로고
    • "Bispectrum and nonlinear wave coupling"
    • PFLDAS0031-917110.1063/1.862966
    • Y. Kim, J. Beall, E. Powers, and R. Miksad, "Bispectrum and nonlinear wave coupling," Phys. Fluids PFLDAS0031-917110.1063/ 1.862966 23, 258 (1980).
    • (1980) Phys. Fluids , vol.23 , pp. 258
    • Kim, Y.1    Beall, J.2    Powers, E.3    Miksad, R.4
  • 38
    • 33751067802 scopus 로고    scopus 로고
    • "Low-dimensional modelling of a confined three-dimensional wake flow"
    • JFLSA70022-112010.1017/S0022112006002989
    • M. Buffoni, S. Camarri, A. Iollo, and M. Salvetti, "Low-dimensional modelling of a confined three-dimensional wake flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112006002989 569, 141 (2006).
    • (2006) J. Fluid Mech. , vol.569 , pp. 141
    • Buffoni, M.1    Camarri, S.2    Iollo, A.3    Salvetti, M.4
  • 39
    • 84971922606 scopus 로고
    • "Self-sustained low frequency components in an impinging shear layer"
    • JFLSA70022-112010.1017/S002211208200041X
    • C. Knisely and D. Rockwell, "Self-sustained low frequency components in an impinging shear layer," J. Fluid Mech. JFLSA70022-112010.1017/S002211208200041X 116, 157 (1982).
    • (1982) J. Fluid Mech. , vol.116 , pp. 157
    • Knisely, C.1    Rockwell, D.2
  • 40
    • 0001557692 scopus 로고
    • "Shear-layer-driven transition in a rectangular cavity"
    • PFLDAS0031-917110.1063/1.866071
    • M. Neary and K. Stephanoff, "Shear-layer-driven transition in a rectangular cavity," Phys. FluidsPFLDAS0031-917110.1063/1.866071 30, 2936 (1987).
    • (1987) Phys. Fluids , vol.30 , pp. 2936
    • Neary, M.1    Stephanoff, K.2


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