메뉴 건너뛰기




Volumn 617, Issue , 2008, Pages 31-50

General variational model reduction applied to incompressible viscous flows

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICAL SYSTEMS; NONLINEAR DYNAMICAL SYSTEMS; REYNOLDS NUMBER; STATISTICAL MECHANICS; VISCOUS FLOW; VORTEX FLOW;

EID: 57049159302     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S002211200800387X     Document Type: Article
Times cited : (2)

References (25)
  • 1
    • 57049187230 scopus 로고    scopus 로고
    • ANTOULAS, A. C. 2005 Approximation of Large-Scale Dynamical Systems. Cambridge University Press.
    • ANTOULAS, A. C. 2005 Approximation of Large-Scale Dynamical Systems. Cambridge University Press.
  • 3
    • 57049185323 scopus 로고    scopus 로고
    • BOGNER, T. 2007 Density matrix renormalization for model reduction in nonlinear dynamics. ArXiv Physics e-prints ArXiv:0707.4384v1.
    • BOGNER, T. 2007 Density matrix renormalization for model reduction in nonlinear dynamics. ArXiv Physics e-prints ArXiv:0707.4384v1.
  • 5
    • 0027806337 scopus 로고
    • Modeling oceanic and atmospheric vortices
    • DRITSCHEL, D. G. & LEGRAS, B. 1993 Modeling oceanic and atmospheric vortices. Phys. Today 46, 44-51.
    • (1993) Phys. Today , vol.46 , pp. 44-51
    • DRITSCHEL, D.G.1    LEGRAS, B.2
  • 6
    • 57049122383 scopus 로고
    • Numerical algorithm for the calculation of nonsymmetric dipolar and rotating monopolar vortex structures
    • VAN DE FLIERT, B. W., VAN GROESEN, E., R. DE ROO & DE VRIES, R. W. 1995 Numerical algorithm for the calculation of nonsymmetric dipolar and rotating monopolar vortex structures. J. Comput. Appl. Math. 62 1-25.
    • (1995) J. Comput. Appl. Math , vol.62 , pp. 1-25
    • VAN1    DE FLIERT, B.W.2    VAN GROESEN, E.3    DE ROO, R.4    DE VRIES, R.W.5
  • 7
    • 0002522018 scopus 로고
    • An Eulerian differencing method for unsteady compressible flow problems
    • GENTRY, R., MARTIN, R. & DALY, B. 1966 An Eulerian differencing method for unsteady compressible flow problems. J. Comput. Phys. 1, 87-118.
    • (1966) J. Comput. Phys , vol.1 , pp. 87-118
    • GENTRY, R.1    MARTIN, R.2    DALY, B.3
  • 8
    • 57049106936 scopus 로고    scopus 로고
    • GOLUB, G. H. & VANLOAN, C. F. 3rd Edition 1996 Matrix Computations. Johns Hopkins University Press.
    • GOLUB, G. H. & VANLOAN, C. F. 3rd Edition 1996 Matrix Computations. Johns Hopkins University Press.
  • 10
    • 0021786911 scopus 로고
    • Self-organization processes in continuous media
    • HASEGAWA, A. 1985 Self-organization processes in continuous media. Adv. Phys. 34, 1-42.
    • (1985) Adv. Phys , vol.34 , pp. 1-42
    • HASEGAWA, A.1
  • 12
    • 0035880395 scopus 로고    scopus 로고
    • A climatology for turbulent dispersion in the troposphere
    • HUBER, M., MCWILLIAMS, J. C. & GHIL, M. 2001 A climatology for turbulent dispersion in the troposphere. J. Atmos. Sci. 58, 2377-2394.
    • (2001) J. Atmos. Sci , vol.58 , pp. 2377-2394
    • HUBER, M.1    MCWILLIAMS, J.C.2    GHIL, M.3
  • 13
    • 28144457683 scopus 로고
    • High-order splitting methods for the incompressible Navier-Stokes equation
    • KARNIADAKIS, G. E., ISRAELI, M. & ORSZAG, S. 1990 High-order splitting methods for the incompressible Navier-Stokes equation. J. Comput. Phys. 97, 414-443.
    • (1990) J. Comput. Phys , vol.97 , pp. 414-443
    • KARNIADAKIS, G.E.1    ISRAELI, M.2    ORSZAG, S.3
  • 14
    • 36149046600 scopus 로고    scopus 로고
    • KRAICHNAN, R. H. & MONTGOMERY, D. 1980 Two-dimensional turbulence. Reports Prog. Phys. 43, 547-619.
    • KRAICHNAN, R. H. & MONTGOMERY, D. 1980 Two-dimensional turbulence. Reports Prog. Phys. 43, 547-619.
  • 17
    • 57049156642 scopus 로고    scopus 로고
    • LORENZ, E. N. 1956 Empirical orthogonal functions and statistical weather prediction. Scientific Report 1, Statistical Forecasting Project MIT.
    • LORENZ, E. N. 1956 Empirical orthogonal functions and statistical weather prediction. Scientific Report 1, Statistical Forecasting Project MIT.
  • 18
    • 57049155548 scopus 로고    scopus 로고
    • LUMLEY, J. L. 1967 The Structure of Inhomogeneous Turbulent Flows. Nauka.
    • LUMLEY, J. L. 1967 The Structure of Inhomogeneous Turbulent Flows. Nauka.
  • 19
    • 0035858797 scopus 로고    scopus 로고
    • Single-block renormalization group: Quantum mechanical problems
    • MARTÍN-DELGADO, M. A., RODRÍGUEZ-LAGUNA, J. & SIERRA, G. 2001 Single-block renormalization group: Quantum mechanical problems. Nucl. Phys. B 601, 569-590.
    • (2001) Nucl. Phys. B , vol.601 , pp. 569-590
    • MARTÍN-DELGADO, M.A.1    RODRÍGUEZ-LAGUNA, J.2    SIERRA, G.3
  • 20
    • 0030479121 scopus 로고    scopus 로고
    • Vortex merging and spectral cascade in two-dimensional flows
    • NIELSEN, A. H., HE, X., RASMUSSEN, J. J. & BOHR, T. 1996 Vortex merging and spectral cascade in two-dimensional flows. Phys. Fluids 8(9), 2263-2265.
    • (1996) Phys. Fluids , vol.8 , Issue.9 , pp. 2263-2265
    • NIELSEN, A.H.1    HE, X.2    RASMUSSEN, J.J.3    BOHR, T.4
  • 21
    • 0842279679 scopus 로고    scopus 로고
    • A hierarchy of low dimensional models for the transient and post-transient cylinder wake
    • NOACK, B. R., AFANASIEV, K., MORZYNSKI, M., TADMOR, G. & THIELE, F. 2003 A hierarchy of low dimensional models for the transient and post-transient cylinder wake. J. Fluid Mech. 497, 335-363.
    • (2003) J. Fluid Mech , vol.497 , pp. 335-363
    • NOACK, B.R.1    AFANASIEV, K.2    MORZYNSKI, M.3    TADMOR, G.4    THIELE, F.5
  • 22
    • 13844250570 scopus 로고    scopus 로고
    • The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows
    • NOACK, B., PAPAS, P. & MONKEWITZ, P. 2005 The need for a pressure-term representation in empirical Galerkin models of incompressible shear flows. J. Fluid Mech. 523, 339-365.
    • (2005) J. Fluid Mech , vol.523 , pp. 339-365
    • NOACK, B.1    PAPAS, P.2    MONKEWITZ, P.3
  • 23
    • 0842343715 scopus 로고    scopus 로고
    • Model reduction of compressible flows using POD and Garlerkin projection
    • ROWLEY, C. W., COLONIUS, T. & MURRAY, R. M. 2003 Model reduction of compressible flows using POD and Garlerkin projection. Phys. D 189, 115-129.
    • (2003) Phys. D , vol.189 , pp. 115-129
    • ROWLEY, C.W.1    COLONIUS, T.2    MURRAY, R.M.3
  • 24
    • 0000246863 scopus 로고
    • Turbulence and the dynamics of coherent structures
    • SIROVICH, L. 1987 Turbulence and the dynamics of coherent structures. Q. Appl. Math. XLV, 561-591.
    • (1987) Q. Appl. Math , vol.45 , pp. 561-591
    • SIROVICH, L.1
  • 25
    • 0035949148 scopus 로고    scopus 로고
    • Examination of large-scale structures in a turbulent plane mixing layer. Part 2. Dynamic systems model
    • UKEILEY, L., CORDIER, L., MANCEAU, R., DELVILLE, J., GLAUSER, M. & BONNET, J. 2001 Examination of large-scale structures in a turbulent plane mixing layer. Part 2. Dynamic systems model. J. Fluid Mech. 441, 67-108.
    • (2001) J. Fluid Mech , vol.441 , pp. 67-108
    • UKEILEY, L.1    CORDIER, L.2    MANCEAU, R.3    DELVILLE, J.4    GLAUSER, M.5    BONNET, J.6


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.