메뉴 건너뛰기




Volumn 16, Issue 4, 2004, Pages 853-866

Craik-Criminale solutions and elliptic instability in nonlinear-reactive closure models for turbulence

Author keywords

[No Author keywords available]

Indexed keywords

FLOW INTERACTIONS; FLUID DYNAMICS; MECHANISMS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; SOLUTIONS;

EID: 1842684853     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1638750     Document Type: Article
Times cited : (7)

References (31)
  • 2
    • 0000467602 scopus 로고
    • Stability of fluid motion: Rectilinear motion of viscous fluid between two parallel plates
    • Lord Kelvin, "Stability of fluid motion: Rectilinear motion of viscous fluid between two parallel plates," Philos. Mag. 24, 188 (1887).
    • (1887) Philos. Mag. , vol.24 , pp. 188
    • Lord, K.1
  • 3
    • 0001573414 scopus 로고
    • Three-dimensional instability of elliptical flow
    • B.J. Bayly, "Three-dimensional instability of elliptical flow," Phys. Rev. Lett. 57, 2160 (1986).
    • (1986) Phys. Rev. Lett. , vol.57 , pp. 2160
    • Bayly, B.J.1
  • 4
    • 0023044792 scopus 로고
    • Evolution of wavelike disturbances in shear flows: A class of exact solutions of the Navier-Stokes equations
    • Ser. A
    • A.D.D. Craik and W.O. Criminale, "Evolution of wavelike disturbances in shear flows: A class of exact solutions of the Navier-Stokes equations," Proc. R. Soc. London, Ser. A 406, 13 (1986).
    • (1986) Proc. R. Soc. London , vol.406 , pp. 13
    • Craik, A.D.D.1    Criminale, W.O.2
  • 5
    • 0003321119 scopus 로고    scopus 로고
    • Alpha-modeling strategy for LES of turbulent mixing
    • edited by D. Drikakis and B.J. Geurts (Kluwer, New York)
    • B.J. Guerts and D.D. Holm, "Alpha-modeling strategy for LES of turbulent mixing, in Turbulent Flow Computation, edited by D. Drikakis and B.J. Geurts (Kluwer, New York, 2002), pp. 237-278.
    • (2002) Turbulent Flow Computation , pp. 237-278
    • Guerts, B.J.1    Holm, D.D.2
  • 6
    • 0035873331 scopus 로고    scopus 로고
    • The Navier-Stokes-alpha model of fluid turbulence
    • C. Foias, D.D. Holm, and E.S. Titi, "The Navier-Stokes-alpha model of fluid turbulence," Physica D 152-153, 505 (2001).
    • (2001) Physica D , vol.152-153 , pp. 505
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 7
    • 0038735502 scopus 로고    scopus 로고
    • Mean effects of turbulence on elliptic instability
    • B.R. Fabijonas and D.D. Holm, "Mean effects of turbulence on elliptic instability," Phys. Rev. Lett. 90, 124501 (2003).
    • (2003) Phys. Rev. Lett. , vol.90 , pp. 124501
    • Fabijonas, B.R.1    Holm, D.D.2
  • 8
    • 0001262719 scopus 로고    scopus 로고
    • Camassa-Holm equations as a closure model for turbulent channel and pipe flow
    • S. Chen, C. Foias, D.D. Holm, E. Olson, E.S. Titi, and S. Wynne, "Camassa-Holm equations as a closure model for turbulent channel and pipe flow," Phys. Rev. Lett. 81, 5338 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5338
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 9
    • 0039964945 scopus 로고    scopus 로고
    • The Camassa-Holm equations and turbulence in pipes and channels
    • S. Chen, C. Foias, D.D. Holm, E. Olson, E.S. Titi, and S. Wynne, "The Camassa-Holm equations and turbulence in pipes and channels," Physica D 133, 49 (1999).
    • (1999) Physica D , vol.133 , pp. 49
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 10
    • 0024480939 scopus 로고
    • The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact solutions
    • A.D.D. Craik, "The stability of unbounded two- and three-dimensional flows subject to body forces: Some exact solutions." J. Fluid Mech. 198, 275 (1989).
    • (1989) J. Fluid Mech. , vol.198 , pp. 275
    • Craik, A.D.D.1
  • 12
    • 0023141777 scopus 로고
    • The three-dimensional instability of strained vortices in a viscous fluid
    • M.J. Landman and P.G. Saffman, "The three-dimensional instability of strained vortices in a viscous fluid," Phys. Fluids 30, 2339 (1987).
    • (1987) Phys. Fluids , vol.30 , pp. 2339
    • Landman, M.J.1    Saffman, P.G.2
  • 13
    • 0030469620 scopus 로고    scopus 로고
    • A new class of instabilities of rotating flows
    • A. Lifschitz and B.R. Fabijonas, "A new class of instabilities of rotating flows," Phys. Fluids 8, 2239 (1996).
    • (1996) Phys. Fluids , vol.8 , pp. 2239
    • Lifschitz, A.1    Fabijonas, B.R.2
  • 14
    • 36549096042 scopus 로고
    • On the three-dimensional instability of strained vortices
    • F. Waleffe, "On the three-dimensional instability of strained vortices," Phys. Fluids A 2, 76 (1990).
    • (1990) Phys. Fluids A , vol.2 , pp. 76
    • Waleffe, F.1
  • 15
    • 0001471825 scopus 로고    scopus 로고
    • Secondary instabilities of flows with elliptic streamlines
    • B.R. Fabijonas, D.D. Holm, and A. Lifschitz, "Secondary instabilities of flows with elliptic streamlines," Phys. Rev. Lett. 78, 1900 (1997).
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 1900
    • Fabijonas, B.R.1    Holm, D.D.2    Lifschitz, A.3
  • 16
    • 0032364659 scopus 로고    scopus 로고
    • Three-dimensional instabilities of inertial waves in rotationg fluids
    • T. Miyazaki and A. Lifschitz, "Three-dimensional instabilities of inertial waves in rotationg fluids," J. Phys. Soc. Jpn. 67, 1226 (1998).
    • (1998) J. Phys. Soc. Jpn. , vol.67 , pp. 1226
    • Miyazaki, T.1    Lifschitz, A.2
  • 18
    • 36449004014 scopus 로고
    • Elliptical instability in a stably stratified rotating fluid
    • "T. Miyazaki, "Elliptical instability in a stably stratified rotating fluid," Phys. Fluids A 5, 2702 (1993).
    • (1993) Phys. Fluids A , vol.5 , pp. 2702
    • Miyazaki, T.1
  • 19
    • 0001108144 scopus 로고
    • Analytical methods for the development of Reynolds-stress closures in turbulence
    • C.G. Speziale, "Analytical methods for the development of Reynolds-stress closures in turbulence," Annu. Rev. Fluid Mech. 23, 107 (1991).
    • (1991) Annu. Rev. Fluid Mech. , vol.23 , pp. 107
    • Speziale, C.G.1
  • 20
    • 0016013907 scopus 로고
    • Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
    • J.E. Dunn and R.L. Fosdick, "Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade," Arch. Ration. Mech. Anal. 56, 191 (1974).
    • (1974) Arch. Ration. Mech. Anal. , vol.56 , pp. 191
    • Dunn, J.E.1    Fosdick, R.L.2
  • 21
    • 0001526376 scopus 로고
    • Stress deformation relation for isotropic materials
    • R.S. Rivlin and J.L. Ericksen, "Stress deformation relation for isotropic materials," J. Ration. Mech. Analysis 4, 323 (1955).
    • (1955) J. Ration. Mech. Analysis , vol.4 , pp. 323
    • Rivlin, R.S.1    Ericksen, J.L.2
  • 22
    • 0342487946 scopus 로고
    • The nonlinear field theory of mechanics
    • Springer-Verlag, Berlin
    • W. Noll and C. Truesdell, The Nonlinear Field Theory of Mechanics. Handbook of Physik III (Springer-Verlag, Berlin, 1975).
    • (1975) Handbook of Physik III
    • Noll, W.1    Truesdell, C.2
  • 23
    • 0001008393 scopus 로고
    • The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids
    • R.S. Rivlin, "The relation between the flow of non-Newtonian fluids and turbulent Newtonian fluids," Q. Appl. Math. 15, 212 (1957).
    • (1957) Q. Appl. Math. , vol.15 , pp. 212
    • Rivlin, R.S.1
  • 24
    • 51249193194 scopus 로고
    • Sur le mouvement d'un liquide visqueux emplissant l'espace
    • J. Leray, "Sur le mouvement d'un liquide visqueux emplissant l'espace," Acta Math. 63, 193 (1934).
    • (1934) Acta Math. , vol.63 , pp. 193
    • Leray, J.1
  • 25
    • 0018785459 scopus 로고
    • Evaluation of subgridscale models using an accurately simulated turbulent flow
    • R.A. Clark, J.H. Ferziger, and W.C. Reynolds, "Evaluation of subgridscale models using an accurately simulated turbulent flow," J. Fluid Mech. 91, 1 (1979).
    • (1979) J. Fluid Mech. , vol.91 , pp. 1
    • Clark, R.A.1    Ferziger, J.H.2    Reynolds, W.C.3
  • 26
    • 77957038800 scopus 로고
    • Energy cascade in large-eddy simulations of turbulent fluid flows
    • A. Leonard, "Energy cascade in large-eddy simulations of turbulent fluid flows," Adv. Geophys. 18, 237 (1974).
    • (1974) Adv. Geophys. , vol.18 , pp. 237
    • Leonard, A.1
  • 27
    • 0030545902 scopus 로고    scopus 로고
    • Large eddy simulation of the temporal mixing layer using the Clark model
    • A.W. Vreman, B.J. Guerts, and J.G.M. Kuerten, "Large eddy simulation of the temporal mixing layer using the Clark model," Theor. Comput. Fluid Dyn. 8, 309 (1996).
    • (1996) Theor. Comput. Fluid Dyn. , vol.8 , pp. 309
    • Vreman, A.W.1    Guerts, B.J.2    Kuerten, J.G.M.3
  • 29
    • 0028668624 scopus 로고
    • Stability analysis and large-eddy simulation of rotating turbulence with organized eddies
    • C. Cambon, J.P. Benoit, L. Shao, and L. Jacquin, "Stability analysis and large-eddy simulation of rotating turbulence with organized eddies," J. Fluid Mech. 378, 175 (1994).
    • (1994) J. Fluid Mech. , vol.378 , pp. 175
    • Cambon, C.1    Benoit, J.P.2    Shao, L.3    Jacquin, L.4
  • 30
    • 0037279812 scopus 로고    scopus 로고
    • Regularization modeling for large-eddy simulation
    • B.J. Geurts and D.D. Holm, "Regularization modeling for large-eddy simulation," Phys. Fluids 15, L13 (2003).
    • (2003) Phys. Fluids , vol.15
    • Geurts, B.J.1    Holm, D.D.2
  • 31
    • 0029656539 scopus 로고    scopus 로고
    • Three-dimensional stability of elliptical vortex columns in external strain flows
    • Ser. A
    • B.J. Bayly, D.D. Holm, and A. Lifschitz, "Three-dimensional stability of elliptical vortex columns in external strain flows," Philos. Trans. R. Soc. London, Ser. A 354, 1 (1996).
    • (1996) Philos. Trans. R. Soc. London , vol.354 , pp. 1
    • Bayly, B.J.1    Holm, D.D.2    Lifschitz, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.