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Volumn 25, Issue 2, 2006, Pages 234-254

A numerical method for the computation of bifurcation points in fluid mechanics

Author keywords

Asymptotic numerical method; Bifurcation indicators; Hopf bifurcation

Indexed keywords

ALGORITHMS; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 32344442740     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2005.07.002     Document Type: Article
Times cited : (49)

References (33)
  • 2
    • 0039231615 scopus 로고
    • An algorithm for the computation of Hopf bifurcation points in comparison with other methods
    • D. Roose An algorithm for the computation of Hopf bifurcation points in comparison with other methods J. Comput. Appl. Math. 12-13 1985 517 529
    • (1985) J. Comput. Appl. Math. , vol.1213 , pp. 517-529
    • Roose, D.1
  • 5
    • 0012934971 scopus 로고
    • Computation of selected eigenvalues of generalized eigenvalue problems
    • N. Nayar, and J.M. Ortega Computation of selected eigenvalues of generalized eigenvalue problems J. Comput. Phys. 108 1993 8 14
    • (1993) J. Comput. Phys. , vol.108 , pp. 8-14
    • Nayar, N.1    Ortega, J.M.2
  • 6
    • 32344432784 scopus 로고
    • furcation, Thesis, California Institute of Technology
    • A.D. Jepson, Numerical Hopf bifurcation, Thesis, California Institute of Technology, 1981
    • (1981) Numerical Hopf Bifurcation
    • Jespon, A.D.1
  • 7
    • 0023408690 scopus 로고
    • A finite-element study of the onset of vortex shedding in flow past variously shaped body
    • C.P. Jackson A finite-element study of the onset of vortex shedding in flow past variously shaped body J. Fluid Mech. 182 1987 23 45
    • (1987) J. Fluid Mech. , vol.182 , pp. 23-45
    • Jackson, C.P.1
  • 11
    • 0028763617 scopus 로고
    • A path-following technique via an asymptotic-numerical method
    • B. Cochelin A path-following technique via an asymptotic-numerical method Comput. Struct. 53 5 1994 1181 1192
    • (1994) Comput. Struct. , vol.53 , Issue.5 , pp. 1181-1192
    • Cochelin, B.1
  • 12
    • 0025545964 scopus 로고
    • A new method to compute perturbed bifurcations: Application to the buckling of imperfect elastic structures
    • N. Damil, and M. Potier-Ferry A new method to compute perturbed bifurcations: application to the buckling of imperfect elastic structures Int. J. Engrg. Sci. 28 9 1990 943 957
    • (1990) Int. J. Engrg. Sci. , vol.28 , Issue.9 , pp. 943-957
    • Damil, N.1    Potier-Ferry, M.2
  • 13
    • 0035118872 scopus 로고    scopus 로고
    • Asymptotic numerical method for stationary Navier-Stokes equations and with Petrov-Galerkin formulation
    • J.M. Cadou, B. Cochelin, N. Damil, and M. Potier-Ferry Asymptotic numerical method for stationary Navier-Stokes equations and with Petrov-Galerkin formulation Int. J. Numer. Methods Engrg. 50 2001 825 845
    • (2001) Int. J. Numer. Methods Engrg. , vol.50 , pp. 825-845
    • Cadou, J.M.1    Cochelin, B.2    Damil, N.3    Potier-Ferry, M.4
  • 15
    • 0000128412 scopus 로고    scopus 로고
    • Résolution des équations de Navier-Stokes et détection des bifurcations stationnaires par une méthode asymptotique numérique
    • A. Tri, B. Cochelin, and M. Potier-Ferry Résolution des équations de Navier-Stokes et détection des bifurcations stationnaires par une méthode asymptotique numérique Revue Européenne des éléments finis 5 1996 415 442
    • (1996) Revue Européenne des Éléments Finis , vol.5 , pp. 415-442
    • Tri, A.1    Cochelin, B.2    Potier-Ferry, M.3
  • 19
    • 0000228759 scopus 로고
    • The non-linear perturbative analysis of discrete structural systems
    • J.M.T. Thompson, and A.C. Walker The non-linear perturbative analysis of discrete structural systems Int. J. Solids Struct. 4 1968 757 768
    • (1968) Int. J. Solids Struct. , vol.4 , pp. 757-768
    • Thompson, J.M.T.1    Walker, A.C.2
  • 20
    • 0025661079 scopus 로고
    • Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels
    • M. Shapira, D. Degani, and D. Weihs Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels Computers & Fluids 18 1990 239 258
    • (1990) Computers & Fluids , vol.18 , pp. 239-258
    • Shapira, M.1    Degani, D.2    Weihs, D.3
  • 22
    • 0026821858 scopus 로고
    • Numerical prediction of vortex shedding behind a square cylinder
    • K.M. Kelkar, and S.V. Patankar Numerical prediction of vortex shedding behind a square cylinder Int. J. Numer. Methods Fluids 14 1992 8 14
    • (1992) Int. J. Numer. Methods Fluids , vol.14 , pp. 8-14
    • Kelkar, K.M.1    Patankar, S.V.2
  • 23
    • 0020194898 scopus 로고
    • Strouhal numbers of rectangular cylinders
    • A. Okajima Strouhal numbers of rectangular cylinders J. Fluids Mech. 123 1982 379 398
    • (1982) J. Fluids Mech. , vol.123 , pp. 379-398
    • Okajima, A.1
  • 25
  • 26
    • 0001324060 scopus 로고
    • A direct method for computation of simple bifurcations
    • M. Poliashenko, and C.K. Aidun A direct method for computation of simple bifurcations J. Comput. Phys. 121 1995 246 260
    • (1995) J. Comput. Phys. , vol.121 , pp. 246-260
    • Poliashenko, M.1    Aidun, C.K.2
  • 27
    • 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. Veldam Proper orthogonal decomposition and low-dimensional models for driven cavity flows Phys. Fluids 10 7 1998 1685 1699
    • (1998) Phys. Fluids , vol.10 , Issue.7 , pp. 1685-1699
    • Cazemier, W.1    Verstappen, R.W.C.P.2    Veldam, A.E.P.3
  • 28
    • 0036502984 scopus 로고    scopus 로고
    • Bifurcation analysis of incompressible flow in a driven cavity by the Newton-Picard method
    • G. Tiensenga, F.W. Wubs, and A.E.P. Veldam Bifurcation analysis of incompressible flow in a driven cavity by the Newton-Picard method J. Comput. Appl. Math. 140 2002 751 772
    • (2002) J. Comput. Appl. Math. , vol.140 , pp. 751-772
    • Tiensenga, G.1    Wubs, F.W.2    Veldam, A.E.P.3
  • 29
    • 0037986169 scopus 로고    scopus 로고
    • A novel fully-implicit finite volume method applied to lid-driven cavity problem. Part II. Linear stability analysis
    • M. Sahin, and R.G. Owens A novel fully-implicit finite volume method applied to lid-driven cavity problem. Part II. Linear stability analysis Int. J. Numer. Methods Fluids 42 2003 79 88
    • (2003) Int. J. Numer. Methods Fluids , vol.42 , pp. 79-88
    • Sahin, M.1    Owens, R.G.2
  • 30
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • T.J.R. Hughes, and A. Brooks Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations Comput. Methods Appl. Mech. Engrg. 32 1982 199 259
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Hughes, T.J.R.1    Brooks, A.2
  • 31
    • 0019575119 scopus 로고
    • Don't suppress the wiggles-they're telling you something
    • P.M. Gresho, and R.L. Lee Don't suppress the wiggles-they're telling you something Computers & Fluid 9 1981 223 253
    • (1981) Computers & Fluid , vol.9 , pp. 223-253
    • Gresho, P.M.1    Lee, R.L.2
  • 32
    • 0003229841 scopus 로고
    • Padé Approximants, Part I: Basic Theory
    • Addison-Wesley Reading, MA
    • G.A. Baker, and P. Graves-Morris Padé Approximants, Part I: Basic Theory Encyclopedia of Math. Appl. vol. 13 1981 Addison-Wesley Reading, MA
    • (1981) Encyclopedia of Math. Appl. , vol.13
    • Baker, G.A.1    Graves-Morris, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.