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Volumn 40, Issue 1-2, 2004, Pages 51-117

Reduced-order modeling: New approaches for computational physics

Author keywords

Galerkin projection; Harmonic balance; Proper orthogonal decomposition; Reduced order modeling; Volterra series

Indexed keywords

AERODYNAMICS; GALERKIN METHODS; HARMONIC ANALYSIS; NONLINEAR SYSTEMS; ROM;

EID: 1342283898     PISSN: 03760421     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.paerosci.2003.12.001     Document Type: Review
Times cited : (827)

References (172)
  • 4
    • 81055147891 scopus 로고
    • A state-space model of unsteady aerodynamics in a compressible flow for flutter analyses
    • January
    • Leishman J, Crouse G. A state-space model of unsteady aerodynamics in a compressible flow for flutter analyses. AIAA Paper 89-0022, January 1989.
    • (1989) AIAA Paper , vol.89 , Issue.22
    • Leishman, J.1    Crouse, G.2
  • 5
    • 0002222846 scopus 로고
    • Alternative methods for modeling unsteady transonic flows, unsteady transonic aerodynamics
    • New York: AIAA
    • Nixon D. Alternative methods for modeling unsteady transonic flows, unsteady transonic aerodynamics. Progress in Astronautics and Aeronautics, vol. 120. New York: AIAA; 1989.
    • (1989) Progress in Astronautics and Aeronautics , vol.120
    • Nixon, D.1
  • 6
    • 0009304251 scopus 로고    scopus 로고
    • Development of a nonlinear indicial model for maneuvering fighter aircraft
    • AIAA Paper 96-0896, January
    • Reisenthel PH. Development of a nonlinear indicial model for maneuvering fighter aircraft. AIAA Paper 96-0896, January 1996.
    • (1996) AIAA Paper
    • Reisenthel, P.H.1
  • 7
    • 1342298112 scopus 로고    scopus 로고
    • Modelling and identification of non-linear unsteady aerodynamic loads by neural networks and genetic algorithms
    • September
    • Marques F, Anderson J. Modelling and identification of non-linear unsteady aerodynamic loads by neural networks and genetic algorithms. ICAS Paper 96-7.1.1, September 1996. p. 243-51.
    • (1996) ICAS Paper 96-7.1.1 , pp. 243-251
    • Marques, F.1    Anderson, J.2
  • 9
    • 0345487853 scopus 로고
    • Neural network modeling of nonlinear systems based on Volterra series extension of a linear model
    • Glasgow, Scotland
    • Soloway DI, Bialasiewicz JT. Neural network modeling of nonlinear systems based on Volterra series extension of a linear model. IEEE International Symposium on Intelligent Control, Glasgow, Scotland, 1992.
    • (1992) IEEE International Symposium on Intelligent Control
    • Soloway, D.I.1    Bialasiewicz, J.T.2
  • 10
    • 0031166961 scopus 로고    scopus 로고
    • Eigenmode analysis in unsteady aerodynamics: Reduced order models
    • Dowell E.H., Hall K.C., Romanowski M.C. Eigenmode analysis in unsteady aerodynamics. reduced order models Appl Mech Rev. 50(6):1997;371-385.
    • (1997) Appl Mech Rev , vol.50 , Issue.6 , pp. 371-385
    • Dowell, E.H.1    Hall, K.C.2    Romanowski, M.C.3
  • 13
    • 0030289123 scopus 로고    scopus 로고
    • Wing flutter computations using an aerodynamic model based on the Navier-Stokes equations
    • Lee-Rausch EM, Batina JT. Wing flutter computations using an aerodynamic model based on the Navier-Stokes equations. J Aircr 1996;33(6):1139-48.
    • (1996) J Aircr , vol.33 , Issue.6 , pp. 1139-1148
    • Lee-Rausch, E.M.1    Batina, J.T.2
  • 14
    • 0042127417 scopus 로고    scopus 로고
    • Aircraft aeroelastic analysis and design using CFD-based unsteady loads
    • April
    • Raveh D, Levy Y, Karpel M. Aircraft aeroelastic analysis and design using CFD-based unsteady loads. AIAA Paper 2000-1325, April 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.1325
    • Raveh, D.1    Levy, Y.2    Karpel, M.3
  • 20
    • 84997839951 scopus 로고
    • Relationships among nonlinear aerodynamic indicial response models, oscillatory motion data, and stability derivatives
    • Boston, MA, August AIAA Paper 89-3351-CP
    • Jenkins JE. Relationships among nonlinear aerodynamic indicial response models, oscillatory motion data, and stability derivatives. Proceedings of the AIAA Atmospheric Flight Mechanics Conference, Boston, MA, August 1989 AIAA Paper 89-3351-CP.
    • (1989) Proceedings of the AIAA Atmospheric Flight Mechanics Conference
    • Jenkins, J.E.1
  • 23
    • 0018699944 scopus 로고
    • A note on the identification of discrete-time polynomial systems
    • December
    • Clancy SJ, Rugh WJ. A note on the identification of discrete-time polynomial systems. IEEE Trans Automat Control AC-24 December 1979 (6).
    • (1979) IEEE Trans Automat Control , vol.AC-24 , Issue.6
    • Clancy, S.J.1    Rugh, W.J.2
  • 24
    • 84912756894 scopus 로고
    • Measurement of the kernels of a nonlinear system of finite order
    • Schetzen M. Measurement of the kernels of a nonlinear system of finite order. Int J Control 1965;1(3):251-63.
    • (1965) Int J Control , vol.1 , Issue.3 , pp. 251-263
    • Schetzen, M.1
  • 26
    • 0004245983 scopus 로고    scopus 로고
    • Prediction of unsteady aerodynamic forces via nonlinear kernel identification
    • Williamsburg, VA, June
    • Reisenthel PH. Prediction of unsteady aerodynamic forces via nonlinear kernel identification. Presented at the International Forum on Aeroelasticity and Structural Dynamics, Williamsburg, VA, June 1999.
    • (1999) International Forum on Aeroelasticity and Structural Dynamics
    • Reisenthel, P.H.1
  • 27
    • 77049108750 scopus 로고    scopus 로고
    • A Volterra kernel identification scheme applied to aerodynamic reactions
    • AIAA Paper 90-2803
    • Tromp JC, Jenkins JE. A Volterra kernel identification scheme applied to aerodynamic reactions. AIAA Paper 90-2803.
    • AIAA Paper
    • Tromp, J.C.1    Jenkins, J.E.2
  • 29
    • 0027664172 scopus 로고
    • Application of nonlinear systems theory to transonic unsteady aerodynamic responses
    • Silva W.A. Application of nonlinear systems theory to transonic unsteady aerodynamic responses. J Aircr. 30(5):1993;660-668.
    • (1993) J Aircr , vol.30 , Issue.5 , pp. 660-668
    • Silva, W.A.1
  • 30
    • 1342319326 scopus 로고
    • Extension of a nonlinear systems theory to transonic unsteady aerodynamic responses
    • AIAA Paper 93-1590, April
    • Silva WA. Extension of a nonlinear systems theory to transonic unsteady aerodynamic responses. AIAA Paper 93-1590, April 1993.
    • (1993) AIAA Paper
    • Silva, W.A.1
  • 31
  • 35
    • 0000387071 scopus 로고
    • Viscous sublayer and adjacent wall region in turbulent pipe flows
    • Bakewell P., Lumley J.L. Viscous sublayer and adjacent wall region in turbulent pipe flows. Phys Fluids. 10:1967;1880-1889.
    • (1967) Phys Fluids , vol.10 , pp. 1880-1889
    • Bakewell, P.1    Lumley, J.L.2
  • 36
    • 12044259644 scopus 로고
    • The proper orthogonal decomposition in the analysis of turbulent flows
    • Berkooz G., Holmes P., Lumley J.L. The proper orthogonal decomposition in the analysis of turbulent flows. Ann Rev Fluid Mech. 25:1993;539-575.
    • (1993) Ann Rev Fluid Mech , vol.25 , pp. 539-575
    • Berkooz, G.1    Holmes, P.2    Lumley, J.L.3
  • 37
    • 0000709429 scopus 로고    scopus 로고
    • Probabilistic representation and transmission of nonstationary processes in multi-degree-of-freedom systems
    • Masri S.F., Smyth A.W., Traina M.-.I. Probabilistic representation and transmission of nonstationary processes in multi-degree-of-freedom systems. Trans ASME. 65:1998;398-409.
    • (1998) Trans ASME , vol.65 , pp. 398-409
    • Masri, S.F.1    Smyth, A.W.2    Traina, M.-I.3
  • 38
    • 0033782244 scopus 로고    scopus 로고
    • Proper orthogonal decomposition of building wind pressure specified at non-uniformly distributed pressure taps
    • Jeong S.-.W., Bienkiewicz B., Ham H.-.J. Proper orthogonal decomposition of building wind pressure specified at non-uniformly distributed pressure taps. J Wind Eng Ind Aerodyn. 87:2000;1-14.
    • (2000) J Wind Eng Ind Aerodyn , vol.87 , pp. 1-14
    • Jeong, S.-W.1    Bienkiewicz, B.2    Ham, H.-J.3
  • 39
    • 1342277043 scopus 로고    scopus 로고
    • Dimensional model reduction in non-linear finite element dynamics of solids and structures
    • submitted for publication
    • Krysl P, Lall S, Marsden JE. Dimensional model reduction in non-linear finite element dynamics of solids and structures. Int J Numer Meth Eng 2000, submitted for publication.
    • (2000) Int J Numer Meth Eng
    • Krysl, P.1    Lall, S.2    Marsden, J.E.3
  • 40
    • 0033666433 scopus 로고    scopus 로고
    • A proper orthogonal decomposition technique for the computation of nonlinear panel response
    • Mortara SA, Slater JC, Beran PS. A proper orthogonal decomposition technique for the computation of nonlinear panel response. AIAA Paper 2000-1936, 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.1936
    • Mortara, S.A.1    Slater, J.C.2    Beran, P.S.3
  • 41
    • 0024475762 scopus 로고
    • Characteristic-Eddy decomposition of turbulence in a channel
    • Moin P., Moser R.D. Characteristic-Eddy decomposition of turbulence in a channel. J Fluid Mech. 200:1989;471-509.
    • (1989) J Fluid Mech , vol.200 , pp. 471-509
    • Moin, P.1    Moser, R.D.2
  • 42
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures. Part I: Coherent structures
    • Sirovich L. Turbulence and the dynamics of coherent structures. Part I. coherent structures Q Appl Math. 45(3):1987;561-571.
    • (1987) Q Appl Math , vol.45 , Issue.3 , pp. 561-571
    • Sirovich, L.1
  • 43
    • 0026067446 scopus 로고
    • Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders
    • Deane A.E., Kevrekidis I.G., Karniadakis G.E., Orszag S.A. Low-dimensional models for complex geometry flows. application to grooved channels and circular cylinders Phys Fluids. 3(2):1991;2337-2354.
    • (1991) Phys Fluids , vol.3 , Issue.2 , pp. 2337-2354
    • Deane, A.E.1    Kevrekidis, I.G.2    Karniadakis, G.E.3    Orszag, S.A.4
  • 44
    • 0029732249 scopus 로고    scopus 로고
    • The use of the Karhunen-Loeve decomposition for the modeling of distributed parameter systems
    • Park H.M., Cho D.H. The use of the Karhunen-Loeve decomposition for the modeling of distributed parameter systems. Chem Eng Sci. 51(1):1996;81-89.
    • (1996) Chem Eng Sci , vol.51 , Issue.1 , pp. 81-89
    • Park, H.M.1    Cho, D.H.2
  • 45
    • 0032031194 scopus 로고    scopus 로고
    • An efficient method of solving the Navier-Stokes equation for flow control
    • Park H.M., Lee M.W. An efficient method of solving the Navier-Stokes equation for flow control. Int J Numer Meth Eng. 41:1998;1133-1151.
    • (1998) Int J Numer Meth Eng , vol.41 , pp. 1133-1151
    • Park, H.M.1    Lee, M.W.2
  • 46
    • 84982318585 scopus 로고    scopus 로고
    • Synthetic jets, their reduced order modeling and applications to flow control
    • Reno, NV, AIAA Paper 99-1000, January
    • Rediniotis OK, Ko J, Yue X, Kurdila AJ. Synthetic jets, their reduced order modeling and applications to flow control. 37th Aerospace Sciences Meeting and Exhibit, Reno, NV, AIAA Paper 99-1000, January 1999.
    • (1999) 37th Aerospace Sciences Meeting and Exhibit
    • Rediniotis, O.K.1    Ko, J.2    Yue, X.3    Kurdila, A.J.4
  • 47
    • 0003321987 scopus 로고    scopus 로고
    • Active flow control using a reduced order model and optimum control
    • AIAA Paper 96-1946
    • Tang KY, Graham WR, Peraire J. Active flow control using a reduced order model and optimum control. AIAA Paper 96-1946, 1996.
    • (1996) AIAA Paper
    • Tang, K.Y.1    Graham, W.R.2    Peraire, J.3
  • 48
    • 84983139952 scopus 로고    scopus 로고
    • Reduced order unsteady aerodynamic and aeroelastic models using Karhunen-Loeve Eigenmodes
    • Bellevue WA, AIAA 96-3981-CP, September
    • Romanowski MC. Reduced order unsteady aerodynamic and aeroelastic models using Karhunen-Loeve Eigenmodes. 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue WA, AIAA 96-3981-CP, September 1996. p. 7-13.
    • (1996) 6th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization , pp. 7-13
    • Romanowski, M.C.1
  • 49
    • 0032208939 scopus 로고    scopus 로고
    • Frequency-domain Karhunen-Loeve method and its application to linear dynamic systems
    • Kim T. Frequency-domain Karhunen-Loeve method and its application to linear dynamic systems. AIAA J. 36(11):1998;2117-2123.
    • (1998) AIAA J , vol.36 , Issue.11 , pp. 2117-2123
    • Kim, T.1
  • 50
    • 0034298665 scopus 로고    scopus 로고
    • Proper orthogonal decomposition technique for transonic unsteady aerodynamic flows
    • Hall K.C., Thomas J.P., Dowell E.H. Proper orthogonal decomposition technique for transonic unsteady aerodynamic flows. AIAA J (also AIAA Paper 99-0655). 38(10):2000;1853-1862.
    • (2000) AIAA J (also AIAA Paper 99-0655) , vol.38 , Issue.10 , pp. 1853-1862
    • Hall, K.C.1    Thomas, J.P.2    Dowell, E.H.3
  • 53
    • 1342298127 scopus 로고    scopus 로고
    • Application of proper orthogonal decomposition to the discrete Euler equations
    • December, submitted for publication
    • Pettit CL, Beran PS. Application of proper orthogonal decomposition to the discrete Euler equations. Int J Numer Meth Eng December, 2000, submitted for publication.
    • (2000) Int J Numer Meth Eng
    • Pettit, C.L.1    Beran, P.S.2
  • 56
    • 0037365255 scopus 로고    scopus 로고
    • Reduced order modeling of an elastic panel in transonic flow
    • Lucia D.J., Beran P.S., King P.I. Reduced order modeling of an elastic panel in transonic flow. J Aircr. 40(2):2003;338-347.
    • (2003) J Aircr , vol.40 , Issue.2 , pp. 338-347
    • Lucia, D.J.1    Beran, P.S.2    King, P.I.3
  • 61
    • 0019017803 scopus 로고
    • Subsonic flow past an oscillating cascade with finite mean flow deflection
    • Verdon JM, Caspar JR. Subsonic flow past an oscillating cascade with finite mean flow deflection. AIAA J 1980;(18):540.
    • (1980) AIAA J , Issue.18 , pp. 540
    • Verdon, J.M.1    Caspar, J.R.2
  • 62
    • 0020187070 scopus 로고
    • Development of a linear unsteady aerodynamic analysis for finite-deflection subsonic cascades
    • Verdon JM, Caspar JR. Development of a linear unsteady aerodynamic analysis for finite-deflection subsonic cascades. AIAA J 1982;(20):1259.
    • (1982) AIAA J , Issue.20 , pp. 1259
    • Verdon, J.M.1    Caspar, J.R.2
  • 63
    • 0021623457 scopus 로고
    • A linearized unsteady aerodynamic analysis for transonic cascades
    • Verdon J.M., Caspar J.R. A linearized unsteady aerodynamic analysis for transonic cascades. J Fluid Mech. 149:1984;403-429.
    • (1984) J Fluid Mech , vol.149 , pp. 403-429
    • Verdon, J.M.1    Caspar, J.R.2
  • 65
    • 0024673636 scopus 로고
    • Calculation of unsteady flows in turbomachinery using the linearized Euler equations
    • Hall K.C., Crawley E.F. Calculation of unsteady flows in turbomachinery using the linearized Euler equations. AIAA J. 27(6):1989;777-787.
    • (1989) AIAA J , vol.27 , Issue.6 , pp. 777-787
    • Hall, K.C.1    Crawley, E.F.2
  • 66
    • 0027556095 scopus 로고
    • Linearized Euler predictions of unsteady aerodynamic loads in cascades
    • Hall K.C., Clark W.S. Linearized Euler predictions of unsteady aerodynamic loads in cascades. AIAA J. 31(3):1993;540-550.
    • (1993) AIAA J , vol.31 , Issue.3 , pp. 540-550
    • Hall, K.C.1    Clark, W.S.2
  • 67
    • 1342340650 scopus 로고
    • Unsteady aerodynamic models for turbomachinery aeroelastic and aeroacoustic applications
    • NASA, November
    • Verdon JM, Barnett M, Ayer TC. Unsteady aerodynamic models for turbomachinery aeroelastic and aeroacoustic applications. NASA Contractor Report NASA/CR 4698, NASA, November 1995.
    • (1995) NASA Contractor Report , vol.NASA-CR 4698
    • Verdon, J.M.1    Barnett, M.2    Ayer, T.C.3
  • 69
    • 0347846793 scopus 로고    scopus 로고
    • Development of a linearized unsteady Euler analysis with application to wake/blade-row interactions
    • NASA, November
    • Verdon JM, Montgomery MD, Chuang AH. Development of a linearized unsteady Euler analysis with application to wake/blade-row interactions. NASA Contractor Report NASA/CR 1999-208879, NASA, November 1999.
    • (1999) NASA Contractor Report , vol.NASA-CR 1999-208879
    • Verdon, J.M.1    Montgomery, M.D.2    Chuang, A.H.3
  • 70
    • 0012983948 scopus 로고    scopus 로고
    • Aerodynamic damping predictions using a linearized Navier-Stokes analysis
    • ASME 99-GT-207, Indianapolis IN, June 7-10
    • Hoyniak D, Clark WS. Aerodynamic damping predictions using a linearized Navier-Stokes analysis. ASME 99-GT-207, International Gas Turbine & Aeroengine Congress & Exhibit, Indianapolis IN, June 7-10, 1999.
    • (1999) International Gas Turbine & Aeroengine Congress & Exhibit
    • Hoyniak, D.1    Clark, W.S.2
  • 72
    • 1342277048 scopus 로고    scopus 로고
    • Sensitivity analysis of unsteady inviscid flow through turbomachinery cascades
    • January
    • Florea R, Hall KC. Sensitivity analysis of unsteady inviscid flow through turbomachinery cascades. AIAA Paper 2000-0130, January 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.130
    • Florea, R.1    Hall, K.C.2
  • 73
    • 0032124663 scopus 로고    scopus 로고
    • Computation of unsteady flows around oscillating blades using linear and nonlinear harmonic Euler methods
    • Ning W., He L. Computation of unsteady flows around oscillating blades using linear and nonlinear harmonic Euler methods. J Turbomach. 120:1998;508-514.
    • (1998) J Turbomach , vol.120 , pp. 508-514
    • Ning, W.1    He, L.2
  • 74
    • 0032208822 scopus 로고    scopus 로고
    • Efficient approach for analysis of unsteady viscous flows in turbomachines
    • He L., Ning W. Efficient approach for analysis of unsteady viscous flows in turbomachines. AIAA J. 17(11):1998;2005-2012.
    • (1998) AIAA J , vol.17 , Issue.11 , pp. 2005-2012
    • He, L.1    Ning, W.2
  • 75
    • 0035331907 scopus 로고    scopus 로고
    • Analysis of unsteady blade row interaction using nonlinear harmonic approach
    • Chen T., Vasanthakumar P., He L. Analysis of unsteady blade row interaction using nonlinear harmonic approach. AIAA J Propulsion Power. 17(3):2001;651-658.
    • (2001) AIAA J Propulsion Power , vol.17 , Issue.3 , pp. 651-658
    • Chen, T.1    Vasanthakumar, P.2    He, L.3
  • 76
    • 85086615843 scopus 로고    scopus 로고
    • Acceleration of convergence to a periodic steady state in turbomachinery flows
    • AIAA 2001-0152, Reno NV, January 8-11
    • McMullen M, Jameson A, Alonso JJ. Acceleration of convergence to a periodic steady state in turbomachinery flows. AIAA 2001-0152, 39th AIAA Aerospace Sciences Meeting & Exhibit, Reno NV, January 8-11, 2001.
    • (2001) 39th AIAA Aerospace Sciences Meeting & Exhibit
    • McMullen, M.1    Jameson, A.2    Alonso, J.J.3
  • 78
    • 84894380533 scopus 로고    scopus 로고
    • Application of a non-linear frequency domain solver to the Euler and Navier-Stokes equations
    • AIAA 2002-0120, Reno NV, January 14-17
    • McMullen M, Jameson A, Alonso JJ. Application of a non-linear frequency domain solver to the Euler and Navier-Stokes equations. AIAA 2002-0120, 40th AIAA Aerospace Sciences Meeting & Exhibit, Reno NV, January 14-17, 2002.
    • (2002) 40th AIAA Aerospace Sciences Meeting & Exhibit
    • McMullen, M.1    Jameson, A.2    Alonso, J.J.3
  • 79
    • 0348222733 scopus 로고    scopus 로고
    • Adaptive harmonic balance method for nonlinear, time periodic flows
    • submitted for publication
    • Maple RC, King P, Wolff JM, Orkwiz PD. Adaptive harmonic balance method for nonlinear, time periodic flows. J Comput Phys 2004, submitted for publication.
    • (2004) J Comput Phys
    • Maple, R.C.1    King, P.2    Wolff, J.M.3    Orkwiz, P.D.4
  • 80
    • 0037329868 scopus 로고    scopus 로고
    • Split-Domain harmonic balance solutions to Burger's equation for large amplitude disturbances
    • Maple R.C., King P., Wolff J.M., Orkwiz P.D. Split-Domain harmonic balance solutions to Burger's equation for large amplitude disturbances. AIAA J. 41(2):2003;206-212.
    • (2003) AIAA J , vol.41 , Issue.2 , pp. 206-212
    • Maple, R.C.1    King, P.2    Wolff, J.M.3    Orkwiz, P.D.4
  • 81
    • 25044436669 scopus 로고    scopus 로고
    • Adaptive harmonic balance solution to the Euler's equation
    • submitted for publication
    • Maple RC, King P, Oxley ME. Adaptive harmonic balance solution to the Euler's equation. AIAA J 2004, submitted for publication.
    • (2004) AIAA J
    • Maple, R.C.1    King, P.2    Oxley, M.E.3
  • 89
    • 0033676697 scopus 로고    scopus 로고
    • Multiresolution methods for representation of Volterra series and dynamical systems
    • April
    • Prazenica R, Kurdila A, Silva WA. Multiresolution methods for representation of Volterra series and dynamical systems. AIAA Paper 2000-1754, April 2000.
    • (2000) AIAA Paper , vol.2000 , Issue.1754
    • Prazenica, R.1    Kurdila, A.2    Silva, W.A.3
  • 90
    • 0022131039 scopus 로고
    • An eigensystem realization algorithm for modal parameter identification and model reduction
    • Juang J.N., Pappa R.S. An eigensystem realization algorithm for modal parameter identification and model reduction. J Guidance. 8(5):1984;620-627.
    • (1984) J Guidance , vol.8 , Issue.5 , pp. 620-627
    • Juang, J.N.1    Pappa, R.S.2
  • 91
    • 0043129239 scopus 로고    scopus 로고
    • Reduced order model development using proper orthogonal decomposition and Volterra theory
    • accepted for publication
    • Lucia DJ, Beran PS. Reduced order model development using proper orthogonal decomposition and Volterra theory. AIAA J 2002, accepted for publication.
    • (2002) AIAA J
    • Lucia, D.J.1    Beran, P.S.2
  • 93
    • 0003653566 scopus 로고    scopus 로고
    • Model reduction via the Karhunen-Loeve expansion part 1: An exposition
    • Institute for Systems Research, University of Maryland
    • Newman AJ. Model reduction via the Karhunen-Loeve expansion part 1: an exposition. Technical Report T.R. 96-32, Institute for Systems Research, University of Maryland, 1996.
    • (1996) Technical Report , vol.T.R. 96-32
    • Newman, A.J.1
  • 98
    • 0031268484 scopus 로고    scopus 로고
    • Continuation method for calculation of transonic airfoil flutter boundaries
    • Beran P.S., Morton S.A. Continuation method for calculation of transonic airfoil flutter boundaries. J Guidance, Control Dyn. 20(6):1997;1165-1171.
    • (1997) J Guidance, Control Dyn , vol.20 , Issue.6 , pp. 1165-1171
    • Beran, P.S.1    Morton, S.A.2
  • 99
    • 0032686725 scopus 로고    scopus 로고
    • Hopf-bifurcation analysis of airfoil flutter at transonic speeds
    • Morton S.A., Beran P.S. Hopf-bifurcation analysis of airfoil flutter at transonic speeds. J Aircr. 36(2):1999;421-429.
    • (1999) J Aircr , vol.36 , Issue.2 , pp. 421-429
    • Morton, S.A.1    Beran, P.S.2
  • 100
    • 85087238992 scopus 로고    scopus 로고
    • A domain-decomposition method for airfoil flutter analysis
    • January
    • Beran PS. A domain-decomposition method for airfoil flutter analysis. AIAA Paper 99-0098, January 1998.
    • (1998) AIAA Paper , vol.99 , Issue.98
    • Beran, P.S.1
  • 102
    • 0036062263 scopus 로고    scopus 로고
    • In-situ residual tracking in reduced order modelling
    • Slater J.C., Pettit C.L., Beran P.S. In-situ residual tracking in reduced order modelling. Shock Vib. 9(3):2002;105-121.
    • (2002) Shock Vib , vol.9 , Issue.3 , pp. 105-121
    • Slater, J.C.1    Pettit, C.L.2    Beran, P.S.3
  • 103
    • 85088180716 scopus 로고    scopus 로고
    • Reduced order modeling: New approaches for computational physics
    • AIAA 2001-0853, Reno, NV, January
    • Beran P, Silva W. Reduced order modeling: new approaches for computational physics. AIAA 2001-0853, 39th Aerospace Sciences Meeting and Exhibit, Reno, NV, January 2001.
    • (2001) 39th Aerospace Sciences Meeting and Exhibit
    • Beran, P.1    Silva, W.2
  • 104
    • 1342319339 scopus 로고    scopus 로고
    • Atluri SN, Brust FW, editors. Computational aeroelasticity for multidisciplinary optimization. Advances in Computational Engineering and Sciences 2000 (Collection of Papers). Tech Science Press, August
    • Beran PS, Pettit CL. In: Atluri SN, Brust FW, editors. Computational aeroelasticity for multidisciplinary optimization. Advances in Computational Engineering and Sciences 2000 (Collection of Papers presented at the ICES 2K Conference) vol. 2. Tech Science Press, August 2000. p. 1562-7.
    • (2000) ICES 2K Conference , vol.2 , pp. 1562-1567
    • Beran, P.S.1    Pettit, C.L.2
  • 106
    • 0036848254 scopus 로고    scopus 로고
    • Domain decomposition for reduced-order modeling of a flow with moving shocks
    • Lucia D.J., King P.I., Beran P.S. Domain decomposition for reduced-order modeling of a flow with moving shocks. AIAA J. 40(11):2002;2360-2362.
    • (2002) AIAA J , vol.40 , Issue.11 , pp. 2360-2362
    • Lucia, D.J.1    King, P.I.2    Beran, P.S.3
  • 107
    • 0037411930 scopus 로고    scopus 로고
    • Reduced order modeling of a two dimensional flow with moving shocks
    • Lucia D.J., King P.I., Beran P.S. Reduced order modeling of a two dimensional flow with moving shocks. Comput Fluids. 32:2003;917-938.
    • (2003) Comput Fluids , vol.32 , pp. 917-938
    • Lucia, D.J.1    King, P.I.2    Beran, P.S.3
  • 108
    • 0038346385 scopus 로고    scopus 로고
    • Projection methods for reduced order models of compressible flows
    • Lucia D.J., Beran P.S. Projection methods for reduced order models of compressible flows. J Comput Phys. 188(1):2003;252-280.
    • (2003) J Comput Phys , vol.188 , Issue.1 , pp. 252-280
    • Lucia, D.J.1    Beran, P.S.2
  • 112
    • 0004218140 scopus 로고
    • New York: W. H. Feeman and Company
    • Marsden J, Tromba A. Vector calculus. New York: W. H. Feeman and Company; 1981. p. 200-4.
    • (1981) Vector Calculus , pp. 200-204
    • Marsden, J.1    Tromba, A.2
  • 117
    • 0036849510 scopus 로고    scopus 로고
    • Balanced model reduction via the proper orthogonal decomposition
    • Willcox K., 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
  • 118
    • 0019533482 scopus 로고
    • Principal component analysis in linear systems
    • Moore B. Principal component analysis in linear systems. IEEE Trans Automat Control 1981;AE26(1):17-31.
    • (1981) IEEE Trans Automat Control , vol.AE26 , Issue.1 , pp. 17-31
    • Moore, B.1
  • 119
    • 0002932567 scopus 로고    scopus 로고
    • Airfoil design optimization using reduced order models based on proper orthogonal decomposition
    • International Federation of Automatic Control, Beijing
    • Lall S, Marsden J, Glavaski S. Airfoil design optimization using reduced order models based on proper orthogonal decomposition. Proceedings of the IFAC World Congress, vol. F, International Federation of Automatic Control, Beijing, 1999. p. 473-8.
    • (1999) Proceedings of the IFAC World Congress , vol.F , pp. 473-478
    • Lall, S.1    Marsden, J.2    Glavaski, S.3
  • 120
    • 0030148855 scopus 로고    scopus 로고
    • Navier-Stokes computations on flexible advanced transport wings in transonic regime
    • Guruswamy G.P., Tu E.L. Navier-Stokes computations on flexible advanced transport wings in transonic regime. J Aircr. 33(3):1996;576-581.
    • (1996) J Aircr , vol.33 , Issue.3 , pp. 576-581
    • Guruswamy, G.P.1    Tu, E.L.2
  • 125
    • 0012853542 scopus 로고
    • DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations
    • Holodniok M., Kubicek M. DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations. J Comput Phys. 55:1984;254-267.
    • (1984) J Comput Phys , vol.55 , pp. 254-267
    • Holodniok, M.1    Kubicek, M.2
  • 126
    • 0347252378 scopus 로고    scopus 로고
    • Computation of limit-cycle oscillation using a direct method
    • AIAA Paper 99-1462, April
    • Beran PS. Computation of limit-cycle oscillation using a direct method. AIAA Paper 99-1462, April 1999.
    • AIAA Paper
    • Beran, P.S.1
  • 127
    • 1342340658 scopus 로고    scopus 로고
    • Split-operator methods for computing steady-state reacting flow fields
    • AIAA 2001-2635, Anaheim, CA, June 11-14
    • Schwer DA, Green Jr WH. Split-operator methods for computing steady-state reacting flow fields. AIAA 2001-2635, 15th AIAA Computational Fluid Dynamics Conference, Anaheim, CA, June 11-14, 2001.
    • (2001) 15th AIAA Computational Fluid Dynamics Conference
    • Schwer, D.A.1    Green Jr., W.H.2
  • 128
    • 0043179063 scopus 로고    scopus 로고
    • Development of reduced order models for aeroelastic analysis and flutter prediction using the CFL3Dv6.0 Code
    • AIAA 2002-1594, Denver, CO, April 22-25
    • Silva WA, Bartels RE. Development of reduced order models for aeroelastic analysis and flutter prediction using the CFL3Dv6.0 Code. AIAA 2002-1594, 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference, Denver, CO, April 22-25, 2002.
    • (2002) 43rd AIAA/ASME/ASCE/AHS Structures, Structural Dynamics, and Materials Conference
    • Silva, W.A.1    Bartels, R.E.2
  • 131
    • 0036749318 scopus 로고    scopus 로고
    • Flutter, postflutter, and control of a supersonic wing section
    • Marzocca P., Librescu L., Silva W.A. Flutter, postflutter, and control of a supersonic wing section. J Guidance Control Dyn. 25(5):2002;962-970.
    • (2002) J Guidance Control Dyn , vol.25 , Issue.5 , pp. 962-970
    • Marzocca, P.1    Librescu, L.2    Silva, W.A.3
  • 132
    • 0036572754 scopus 로고    scopus 로고
    • Aeroelastic response of nonlinear wing sections using a functional series technique
    • Marzocca P., Librescu L., Silva W.A. Aeroelastic response of nonlinear wing sections using a functional series technique. AIAA J. 40(5):2002;813-824.
    • (2002) AIAA J , vol.40 , Issue.5 , pp. 813-824
    • Marzocca, P.1    Librescu, L.2    Silva, W.A.3
  • 133
    • 0036573293 scopus 로고    scopus 로고
    • Aeroelastic response and flutter of swept aircraft wings
    • Marzocca P., Librescu L., Silva W.A. Aeroelastic response and flutter of swept aircraft wings. AIAA J. 40(5):2002;801-812.
    • (2002) AIAA J , vol.40 , Issue.5 , pp. 801-812
    • Marzocca, P.1    Librescu, L.2    Silva, W.A.3
  • 137
    • 0018493237 scopus 로고
    • On the transonic-dip mechanism of flutter of sweptback wing
    • Isogai K. On the transonic-dip mechanism of flutter of sweptback wing. AIAA J. 17(7):1979;793-795.
    • (1979) AIAA J , vol.17 , Issue.7 , pp. 793-795
    • Isogai, K.1
  • 139
    • 0020846613 scopus 로고
    • Time-marching transonic flutter solutions including angle-of-attack effects
    • Edwards J.W., Bennet R.M., Whitlow W. Jr., Seidel D.A. Time-marching transonic flutter solutions including angle-of-attack effects. J Aircraft. 20(11):1983;899-906.
    • (1983) J Aircraft , vol.20 , Issue.11 , pp. 899-906
    • Edwards, J.W.1    Bennet, R.M.2    Whitlow Jr., W.3    Seidel, D.A.4
  • 140
    • 0029277237 scopus 로고
    • Wing flutter boundary prediction using unsteady Euler aerodynamic method
    • Lee-Rausch E.M., Batina J.T. Wing flutter boundary prediction using unsteady Euler aerodynamic method. J Aircr. 32(2):1995;416-422.
    • (1995) J Aircr , vol.32 , Issue.2 , pp. 416-422
    • Lee-Rausch, E.M.1    Batina, J.T.2
  • 141
    • 1342298120 scopus 로고    scopus 로고
    • Mach number influence on reduced-order models of inviscid potential flows in turbomachinery
    • Epureanu B.I., Dowell E.H., Hall K.C. Mach number influence on reduced-order models of inviscid potential flows in turbomachinery. J Fluids Eng. 124:2002;977-987.
    • (2002) J Fluids Eng , vol.124 , pp. 977-987
    • Epureanu, B.I.1    Dowell, E.H.2    Hall, K.C.3
  • 142
    • 0035527633 scopus 로고    scopus 로고
    • Reduced order models in turbomachinery using inviscid-viscous coupling
    • Epureanu B.I., Hall K.C., Dowell E.H. Reduced order models in turbomachinery using inviscid-viscous coupling. J Fluids Struct. 15(2):2001;255-276.
    • (2001) J Fluids Struct , vol.15 , Issue.2 , pp. 255-276
    • Epureanu, B.I.1    Hall, K.C.2    Dowell, E.H.3
  • 143
    • 84905728513 scopus 로고    scopus 로고
    • A parametric analysis of reduced order models of potential flows in turbomachinery using proper orthogonal decomposition
    • 2001-GT-0434, New Orleans, LA, June 4-7
    • Epureanu BI, Dowell EH, Hall KC. A parametric analysis of reduced order models of potential flows in turbomachinery using proper orthogonal decomposition. 2001-GT-0434, Proceedings of ASME Turbo-Expo 2001, New Orleans, LA, June 4-7, 2001.
    • (2001) Proceedings of ASME Turbo-expo 2001
    • Epureanu, B.I.1    Dowell, E.H.2    Hall, K.C.3
  • 144
    • 0037359707 scopus 로고    scopus 로고
    • Proper orthogonal decomposition of turbine rotor-stator interaction
    • Cizmas PG, Palacios A. Proper orthogonal decomposition of turbine rotor-stator interaction. J propulsion Power 2003; 19(2).
    • (2003) J Propulsion Power , vol.19 , Issue.2
    • Cizmas, P.G.1    Palacios, A.2
  • 145
    • 0000104411 scopus 로고    scopus 로고
    • A reduced-order method for simulation and control of fluid flows
    • Ito K., Ravindran S.S. A reduced-order method for simulation and control of fluid flows. J Comput Phys. 143:1998;403-425.
    • (1998) J Comput Phys , vol.143 , pp. 403-425
    • Ito, K.1    Ravindran, S.S.2
  • 146
    • 84896552867 scopus 로고    scopus 로고
    • Nonlinear model reduction for control of distributed systems: A computer-assisted study
    • Shvartsman S.Y., Kevrekidis I.G. Nonlinear model reduction for control of distributed systems. a computer-assisted study Am Inst Chem Eng. 44(7):1998;1579-1595.
    • (1998) Am Inst Chem Eng , vol.44 , Issue.7 , pp. 1579-1595
    • Shvartsman, S.Y.1    Kevrekidis, I.G.2
  • 147
    • 0032069608 scopus 로고    scopus 로고
    • Nonlinear model reduction strategies for rapid thermal processing systems
    • Banerjee S., Cole J.V., Jensen K.F. Nonlinear model reduction strategies for rapid thermal processing systems. IEEE Trans Semicond Manuf. 11(2):1998;266-275.
    • (1998) IEEE Trans Semicond Manuf , vol.11 , Issue.2 , pp. 266-275
    • Banerjee, S.1    Cole, J.V.2    Jensen, K.F.3
  • 148
    • 0033177060 scopus 로고    scopus 로고
    • Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition
    • Kunisch K., Volkwein S. Control of the Burgers equation by a reduced-order approach using proper orthogonal decomposition. J Optim Theory Appl. 102(2):1999;345-371.
    • (1999) J Optim Theory Appl , vol.102 , Issue.2 , pp. 345-371
    • Kunisch, K.1    Volkwein, S.2
  • 149
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. J Comput Phys. 49:1983;357-393.
    • (1983) J Comput Phys , vol.49 , pp. 357-393
    • Harten, A.1
  • 151
    • 0004005326 scopus 로고    scopus 로고
    • The defining methods of Cobalt60: A parallel, implicit, unstructured Euler/Navier-Stokes flow solver
    • AIAA Paper 99-0786
    • Strang WZ, Tomaro RF, Grismer MJ. The defining methods of Cobalt60: a parallel, implicit, unstructured Euler/Navier-Stokes flow solver. AIAA Paper 99-0786.
    • AIAA Paper
    • Strang, W.Z.1    Tomaro, R.F.2    Grismer, M.J.3
  • 154
    • 57649109634 scopus 로고    scopus 로고
    • The role of non-linear aerodynamics in fluid-structure interactions
    • AIAA Paper 98-2423
    • Cunningham AM. The role of non-linear aerodynamics in fluid-structure interactions. AIAA Paper 98-2423, 1998.
    • (1998) AIAA Paper
    • Cunningham, A.M.1
  • 155
    • 0019682575 scopus 로고
    • Multiplicity, stability and oscillatory dynamics of the tubular reactor
    • Heinemann R.F., Poore A.B. Multiplicity, stability and oscillatory dynamics of the tubular reactor. Chem Eng Sci. 36:1981;1411-1419.
    • (1981) Chem Eng Sci , vol.36 , pp. 1411-1419
    • Heinemann, R.F.1    Poore, A.B.2
  • 156
    • 0020829197 scopus 로고
    • Numerical computation of Hopf bifurcation points for parabolic diffusion-reaction differential equations
    • Roose D., Hlavacek V. Numerical computation of Hopf bifurcation points for parabolic diffusion-reaction differential equations. Appl Math. 43(5):1983;1075-1085.
    • (1983) Appl Math , vol.43 , Issue.5 , pp. 1075-1085
    • Roose, D.1    Hlavacek, V.2
  • 157
    • 85087191406 scopus 로고    scopus 로고
    • Development of a three-dimensional viscous aeroelastic solver for nonlinear panel flutter
    • AIAA 2000-2337, Denver, CO, June 19-22
    • Gordnier RE, Visbal MR. Development of a three-dimensional viscous aeroelastic solver for nonlinear panel flutter. AIAA 2000-2337, Fluids 2000 Conference and Exhibit, Denver, CO, June 19-22, 2000.
    • (2000) Fluids 2000 Conference and Exhibit
    • Gordnier, R.E.1    Visbal, M.R.2
  • 158
    • 0034656528 scopus 로고    scopus 로고
    • Non overlapping domain decomposition for evolution operators
    • Lions J., Pironneau O. Non overlapping domain decomposition for evolution operators. C R Acad Sci Ser I Mathematique. 330(10):2000;943-951.
    • (2000) C R Acad Sci Ser I Mathematique , vol.330 , Issue.10 , pp. 943-951
    • Lions, J.1    Pironneau, O.2
  • 159
    • 0033164655 scopus 로고    scopus 로고
    • Solving parabolic problems with different time steps in different regions in space based domain decomposition methods
    • Yu H. Solving parabolic problems with different time steps in different regions in space based domain decomposition methods. Appl Numer Math: Trans IMACS. 30(4):1999;475.
    • (1999) Appl Numer Math: Trans IMACS , vol.30 , Issue.4 , pp. 475
    • Yu, H.1
  • 163
    • 0141954965 scopus 로고    scopus 로고
    • Proper orthogonal decomposition of spatio-temporal patterns in fluidized beds
    • Cizmas P.G., Palacios A., O'Brien T., Syamlal M. Proper orthogonal decomposition of spatio-temporal patterns in fluidized beds. Chem Eng Sci. 58(19):2003;4417-4427.
    • (2003) Chem Eng Sci , vol.58 , Issue.19 , pp. 4417-4427
    • Cizmas, P.G.1    Palacios, A.2    O'brien, T.3    Syamlal, M.4
  • 164
    • 0026892802 scopus 로고
    • Experimental and theoretical porosity profiles in a two-dimensional gas-fluidized bed with a central jet
    • Kuipers J.A.M., Tammes H., Prins W., van Swaaij W.P.M. Experimental and theoretical porosity profiles in a two-dimensional gas-fluidized bed with a central jet. Powder Tech. 71:1992;87-99.
    • (1992) Powder Tech , vol.71 , pp. 87-99
    • Kuipers, J.A.M.1    Tammes, H.2    Prins, W.3    Van Swaaij, W.P.M.4
  • 165
    • 0036572063 scopus 로고    scopus 로고
    • Computation of unsteady nonlinear flows in cascades using a harmonic balance technique
    • Hall K.C., Thomas J.P., Clark W.S. Computation of unsteady nonlinear flows in cascades using a harmonic balance technique. AIAA J. 40(5):2002;879-886.
    • (2002) AIAA J , vol.40 , Issue.5 , pp. 879-886
    • Hall, K.C.1    Thomas, J.P.2    Clark, W.S.3
  • 166
    • 0003071240 scopus 로고
    • A one equation turbulence model for aerodynamic flows
    • AIAA Paper 92-0439
    • Spalart PR, Allmaras SR. A one equation turbulence model for aerodynamic flows. AIAA Paper 92-0439, 1992.
    • (1992) AIAA Paper
    • Spalart, P.R.1    Allmaras, S.R.2
  • 167
    • 0036531499 scopus 로고    scopus 로고
    • Nonlinear inviscid aerodynamic effects on transonic divergence, flutter, and limit cycle oscillations
    • Thomas J.P., Dowell E.H., Hall K.C. Nonlinear inviscid aerodynamic effects on transonic divergence, flutter, and limit cycle oscillations. AIAA J. 40(4):2002;638-646.
    • (2002) AIAA J , vol.40 , Issue.4 , pp. 638-646
    • Thomas, J.P.1    Dowell, E.H.2    Hall, K.C.3
  • 169
    • 78249253615 scopus 로고    scopus 로고
    • A harmonic balance approach for modeling three-dimensional nonlinear unsteady aerodynamics and aeroelasticity
    • IMECE 2002-32954, New Orleans, LA, November 17-22
    • Thomas JP, Dowell EH, Hall KC. A harmonic balance approach for modeling three-dimensional nonlinear unsteady aerodynamics and aeroelasticity. IMECE 2002-32954, 2002 ASME International Mechanical Engineering Congress and Exposition, New Orleans, LA, November 17-22, 2002.
    • (2002) 2002 ASME International Mechanical Engineering Congress and Exposition
    • Thomas, J.P.1    Dowell, E.H.2    Hall, K.C.3
  • 171
    • 0034273874 scopus 로고    scopus 로고
    • Transonic flutter simulations using an implicit aeroelastic solver
    • Thomas J.P., Dowell E.H., Hall K.C. Transonic flutter simulations using an implicit aeroelastic solver. J Aircr. 37(5):2000;872-879.
    • (2000) J Aircr , vol.37 , Issue.5 , pp. 872-879
    • Thomas, J.P.1    Dowell, E.H.2    Hall, K.C.3


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