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Volumn 17, Issue 7, 2005, Pages 1-10

A dynamic model for the Lagrangian-averaged Navier-Stroke-α equation

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; KINETIC ENERGY; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; TURBULENCE;

EID: 23044437627     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1965166     Document Type: Article
Times cited : (18)

References (27)
  • 2
    • 11744318899 scopus 로고    scopus 로고
    • "Euler-Poincaré models of ideal fluids with nonlinear dispersion"
    • PRLTAO 0031-9007 10.1103/PhysRevLett.80
    • D. Holm, J. Marsden, and T. Ratiu, "Euler-Poincaré models of ideal fluids with nonlinear dispersion," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.80.4173 349, 4173 (1998).
    • (1998) Phys. Rev. Lett. , vol.349 , pp. 4173
    • Holm, D.1    Marsden, J.2    Ratiu, T.3
  • 6
    • 0040951221 scopus 로고    scopus 로고
    • "Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion"
    • PDNPDT 0167-2789 10.1016/S0167-2789(99)00093-7
    • D. Holm, "Fluctuation effects on 3D Lagrangian mean and Eulerian mean fluid motion," Physica DPDNPDT0167-278910.1016/ S0167-2789(99)00093-7 133, 215 (1999).
    • (1999) Physica D , vol.133 , pp. 215
    • Holm, D.1
  • 7
    • 0041152039 scopus 로고    scopus 로고
    • "Direct numerical simulations of the Navier-Stokes-alpha model"
    • PDNPDT 0167-2789 10.1016/S0167-2789(99)00099-8
    • S. Chen, D. Holm, L. Margoin, and R. Zhang, "Direct numerical simulations of the Navier-Stokes-alpha model," Physica DPDNPDT0167-278910.1016/S0167-2789(99)00099-8 133, 66 (1999).
    • (1999) Physica D , vol.133 , pp. 66
    • Chen, S.1    Holm, D.2    Margoin, L.3    Zhang, R.4
  • 8
    • 0037331178 scopus 로고    scopus 로고
    • "Numerical simulations of the Lagrangian averaged Navier-Stokes (LANS-α) equations for homogeneous isotropic turbulence"
    • PHFLE6 1070-6631 10.1063/1.33069
    • K. Mohseni, B. Kosović, S. Shkoller, and J. Marsden, "Numerical simulations of the Lagrangian averaged Navier-Stokes (LANS-α) equations for homogeneous isotropic turbulence," Phys. FluidsPHFLE61070-663110.1063/1.1533069 15, 524 (2003).
    • (2003) Phys. Fluids , vol.15 , pp. 524
    • Mohseni, K.1    Kosović, B.2    Shkoller, S.3    Marsden, J.4
  • 9
    • 0001262719 scopus 로고    scopus 로고
    • "Camassa- equations as a closure model for turbulent channel and pipe flow"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • S. Chen, C. Foias, D. Holm, E. Olson, E. Titi, and S. Wynne, "Camassa-Holm equations as a closure model for turbulent channel and pipe flow," Phys. Rev. Lett.PRLTAO0031-900710.1103/ PhysRevLett.81.5338 81, 5338 (1998).
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5338
    • Chen, S.1    Foias, C.2    Holm, D.3    Olson, E.4    Titi, E.5    Wynne, S.6
  • 10
    • 0037243629 scopus 로고    scopus 로고
    • "The anisotropic Lagrangian averaged Euler and Navier-Stokes equations"
    • AVRMAW 0003-95
    • J. Marsden and S. Shkoller, "The anisotropic Lagrangian averaged Euler and Navier-Stokes equations,"Arch. Ration. Mech. Anal.AVRMAW0003-9527 166, 27 (2002).
    • (2002) Arch. Ration. Mech. Anal. , vol.166 , pp. 27
    • Marsden, J.1    Shkoller, S.2
  • 11
    • 36348930574 scopus 로고
    • "A dynamic subgrid scale eddy viscosity model"
    • PFADEB 0899-821 10.106/1.857955
    • M. Germano, U. Piomelli, P. Moin, and W. Cabot, "A dynamic subgrid scale eddy viscosity model," Phys. Fluids APFADEB0899-821310.1063/ 1.857955 3, 1760 (1991).
    • (1991) Phys. Fluids A , vol.3 , pp. 1760
    • Germano, M.1    Piomelli, U.2    Moin, P.3    Cabot, W.4
  • 12
    • 0029276008 scopus 로고
    • "A dynamic localization model for large-eddy simulation of turbulent flows"
    • JFLSA7 0022-1120
    • S. Ghosal, T. Lund, P. Moin, and K. Akselvoll, "A dynamic localization model for large-eddy simulation of turbulent flows," J. Fluid Mech.JFLSA70022-1120 285, 229 (1995).
    • (1995) J. Fluid Mech. , vol.285 , pp. 229
    • Ghosal, S.1    Lund, T.2    Moin, P.3    Akselvoll, K.4
  • 13
    • 0001212829 scopus 로고    scopus 로고
    • "The dynamic Smagorinsky model and scale-dependent coefficients in the viscous range of turbulence"
    • PHFLE6 1070-6631 10.1063/1.8643
    • C. Meneveau and T. Lund, "The dynamic Smagorinsky model and scale-dependent coefficients in the viscous range of turbulence," Phys. FluidsPHFLE61070-663110.1063/1.869493 9, 3932 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 332
    • Meneveau, C.1    Lund, T.2
  • 14
    • 0000305981 scopus 로고    scopus 로고
    • "Large eddy simulation of turbulent front propagation with dynamic subgrid models"
    • PHFLE6 1070-6631 10.1063/1.86517
    • H. G. Im, T. S. Lund, and J. H. Ferziger, "Large eddy simulation of turbulent front propagation with dynamic subgrid models," Phys. FluidsPHFLE61070-663110.1063/1.869517 9, 3826 (1997).
    • (1997) Phys. Fluids , vol.9 , pp. 3826
    • Im, H.G.1    Lund, T.S.2    Ferziger, J.H.3
  • 15
    • 0001356905 scopus 로고
    • "Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits"
    • AIFUA7
    • V. Arnold, "Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits," Ann. Inst. FourierAIFUA7 16, 319 (1966).
    • (1966) Ann. Inst. Fourier , vol.16 , pp. 319
    • Arnold, V.1
  • 16
    • 0001023659 scopus 로고
    • "Nonlinear stability of stratified flow"
    • PRLTAO 0031-9007 10.1103/PhysRevLett
    • H. Abarbanel, D. Holm, J. Marsden, and T. Ratiu, "Nonlinear stability of stratified flow," Phys. Rev. Lett.PRLTAO0031-900710.1103/PhysRevLett.52.2352 52, 2352 (1984).
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 23
    • Abarbanel, H.1    Holm, D.2    Marsden, J.3    Ratiu, T.4
  • 17
    • 0034516803 scopus 로고    scopus 로고
    • "Integrators and the newmark algorithm for conservative and dissipative mechanical systems"
    • IJNMBH 0029-5981 10.1002/1097-0207(1210):10<::AID-NME993>3.0.CO;2-W
    • C. Kane, J. Marsden, M. Ortiz, and M. West, "Integrators and the newmark algorithm for conservative and dissipative mechanical systems," Int. J. Numer. Methods Eng.IJNMBH0029-598110.1002/ 1097-0207(20001210)49:10<1295::AID-NME993>3.0.CO;2-W
    • (2000) Int. Numer. Methods Eng. , vol.49 , pp. 1295
    • Kane, C.1    Marsden, J.2    Ortiz, M.3    West, M.4
  • 20
    • 0035398445 scopus 로고    scopus 로고
    • "Statistical equilibrium theory of axisymmetric flows: Kelvin's variational principle and an explanation for the vortex ring pinch-off process"
    • PHFLE6 1070-6631 10.1063/1.68850
    • K. Mohseni, "Statistical equilibrium theory of axisymmetric flows: Kelvin's variational principle and an explanation for the vortex ring pinch-off process," Phys. FluidsPHFLE61070-663110.1063/1.1368850 13, 1924 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 1924
    • Mohseni, K.1
  • 21
    • 0035398468 scopus 로고    scopus 로고
    • "A long range spherical model and exact solutions of an energy enstrophy theory for two-dimensional turbulence"
    • PHFLE6 1070-6631 10.1063/1.73682
    • C. Lim, "A long range spherical model and exact solutions of an energy enstrophy theory for two-dimensional turbulence," Phys. FluidsPHFLE61070-663110.1063/1.1373682 13, 1961 (2001).
    • (2001) Phys. Fluids , vol.13 , pp. 1961
    • Lim, C.1
  • 22
    • 0013409391 scopus 로고    scopus 로고
    • "Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows"
    • NONLE5 0951-77 10.1088/0951-77//2/302
    • R. Ellis, K. Haven, and B. Turkington, "Nonequivalent statistical equilibrium ensembles and refined stability theorems for most probable flows," NonlinearityNONLE50951-771510.1088/0951-7715/15/2/302 15, 239 (2002).
    • (2002) Nonlinearity , vol.15 , pp. 239
    • Ellis, R.1    Haven, K.2    Turkington, B.3
  • 23
    • 0031507314 scopus 로고    scopus 로고
    • "Dissipation, topography and statistical theories for large-scale coherent structure"
    • CPMAMV 0010-3640 10.1002/ (SICI)1097-0312(12):12<::AID-CPA1>3.0.CO;2-4
    • A. Majda and M. Holen, "Dissipation, topography and statistical theories for large-scale coherent structure," Commun. Pure Appl. Math.CPMAMV0010-364010.1002/ (SICI)1097-0312(199712)50:12<1183::AID-CPA1>3.0.CO;2-4
    • (1997) Commun. Pure Appl. Math. , vol.50 , pp. 1183
    • Majda, A.1    Holen, M.2
  • 24
    • 33644601529 scopus 로고
    • "A proposed modification of the Germano subgrid-scale closure method"
    • PFADEB 0899-8213 10.1063/1.858280
    • D. Lilly, "A proposed modification of the Germano subgrid-scale closure method," Phys. Fluids APFADEB0899-821310.1063/1.858280 4, 633 (1992).
    • (1992) Phys. Fluids A , vol.4 , pp. 633
    • Lilly, D.1
  • 25
    • 0038507614 scopus 로고    scopus 로고
    • "Spectra of the very large anisotropic scales in turbulent channels"
    • PHFLE6 1070-6631 10.1063/1.70830
    • J. del Álamo and J. Jiménez, "Spectra of the very large anisotropic scales in turbulent channels," Phys. FluidsPHFLE61070-663110.1063/1.1570830 15, L41 (2003).
    • (2003) Phys. Fluids , vol.15
    • del Álamo, J.1    Jiménez, J.2
  • 26
    • 0023155294 scopus 로고
    • "Turbulence statistics in fully developed channel flow at low Reynolds number"
    • JFLSA7 0022-1120
    • J. Kim, P. Moin, and R. Moser, "Turbulence statistics in fully developed channel flow at low Reynolds number," J. Fluid Mech.JFLSA70022-1120 177, 133 (1987).
    • (1987) Fluid Mech. , vol.177 , pp. 133
    • Kim, J.1    Moin, P.2    Moser, R.3
  • 27
    • 0040291793 scopus 로고    scopus 로고
    • "Direct numerical simulation of turbulent flow up to Reτ=590"
    • PHFLE6 1070-6631 10.1063/1.869966
    • R. Moser, J. Kim, and N. Mansour, "Direct numerical simulation of turbulent flow up to Reτ=590," Phys. FluidsPHFLE61070-663110.1063/1.869966 11, 943 (1999).
    • (1999) Phys. Fluids , vol.11 , pp. 943
    • Moser, R.1    Kim, J.2    Mansour, N.3


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