메뉴 건너뛰기




Volumn 8, Issue , 2007, Pages 1-21

A study of the Navier-Stokes-α model for two-dimensional turbulence

Author keywords

Large eddy simulations; Sub grid scale models; Turbulence models; Two dimensional Navier Stokes model

Indexed keywords

ADVECTION; LARGE EDDY SIMULATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; STATISTICAL METHODS; TURBULENCE; VORTICITY;

EID: 50849097823     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240701439403     Document Type: Article
Times cited : (39)

References (28)
  • 1
    • 28644438663 scopus 로고    scopus 로고
    • On the Clark-α model of turbulence: Global regularity and long-time dynamics
    • Cao, C., Holm, D. and Titi, E. S. (2005) On the Clark-α model of turbulence: Global regularity and long-time dynamics. Journal of Turbulence, 6:20, pp. 1-11.
    • (2005) Journal of Turbulence , vol.6 , Issue.20 , pp. 1-11
    • Cao, C.1    Holm, D.2    Titi, E.S.3
  • 2
    • 40749110015 scopus 로고    scopus 로고
    • Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
    • Cao, Y., Lunasin, E. and Titi, E. S. (2006) Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models. Communications in Mathematical Sciences, 4:4, pp. 823-848.
    • (2006) Communications in Mathematical Sciences , vol.4 , Issue.4 , pp. 823-848
    • Cao, Y.1    Lunasin, E.2    Titi, E.S.3
  • 4
    • 0032614269 scopus 로고    scopus 로고
    • A connection between the Camassa-Holm equations and turbulent flows in channels and pipes
    • Chen, S., Foias, C., Holm, D. D., Olson, E., Titi, E. S. and Wynne, S. (1999) A connection between the Camassa-Holm equations and turbulent flows in channels and pipes. Physics of Fluids, 11:8, pp. 2343-2353.
    • (1999) Physics of Fluids , vol.11 , Issue.8 , pp. 2343-2353
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 5
    • 0001262719 scopus 로고    scopus 로고
    • Camassa-Holm equations as a closure model for turbulent channel and pipe flow
    • Chen, S., Foias, C., Holm, D. D., Olson, E., Titi, E. S. and Wynne, S. (1998) Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Physical Review Letters, 81:24, pp. 5338-5341.
    • (1998) Physical Review Letters , vol.81 , Issue.24 , pp. 5338-5341
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 6
    • 0041152039 scopus 로고    scopus 로고
    • Direct numerical simulations of the Navier-Stokes alpha model
    • Chen, S., Holm, D. D., Margolin, L. G. and Zhang, R. (1999) Direct numerical simulations of the Navier-Stokes alpha model. Physica D, 133:14, pp. 66-83.
    • (1999) Physica D , vol.133 , Issue.14 , pp. 66-83
    • Chen, S.1    Holm, D.D.2    Margolin, L.G.3    Zhang, R.4
  • 8
    • 0001066646 scopus 로고    scopus 로고
    • Solutions variationelles et classiques d'une famille de fluides de grade deux
    • Cioranescu, D. and Girault, V. (1996) Solutions variationelles et classiques d'une famille de fluides de grade deux. Comptes Rendus de l'Academic des Sciences, Serie I, 322, pp. 1163-1168.
    • (1996) Comptes Rendus De L'Academic Des Sciences, Serie I , vol.322 , pp. 1163-1168
    • Cioranescu, D.1    Girault, V.2
  • 10
    • 0018785459 scopus 로고
    • Evaluation of subgrid scale models using an accurately simulated turbulent flow
    • Clark, R., Ferziger, J. and Reynolds, W. (1979) Evaluation of subgrid scale models using an accurately simulated turbulent flow. Journal of Fluid Mechanics, 91, pp. 1-16.
    • (1979) Journal of Fluid Mechanics , vol.91 , pp. 1-16
    • Clark, R.1    Ferziger, J.2    Reynolds, W.3
  • 12
    • 0016013907 scopus 로고
    • Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade
    • Dunn, J. E. and Fosdick, R. L. (1974) Thermodynamics, stability, and boundedness of fluids of complexity 2 and fluids of second grade. Archive for Rational Mechanics and Analysis, 56, pp. 191-252.
    • (1974) Archive for Rational Mechanics and Analysis , vol.56 , pp. 191-252
    • Dunn, J.E.1    Fosdick, R.L.2
  • 13
    • 0001300072 scopus 로고    scopus 로고
    • What do the Navier-Stokes equations tell us about turbulence?
    • American Mathematical Society, Providence, RI
    • Foias, C. (1997) What do the Navier-Stokes equations tell us about turbulence?. Harmonic Analysis and Nonlinear Differential Equations, 208, pp. 151-180. American Mathematical Society, Providence, RI
    • (1997) Harmonic Analysis and Nonlinear Differential Equations , vol.208 , pp. 151-180
    • Foias, C.1
  • 14
    • 36749037534 scopus 로고    scopus 로고
    • The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
    • Foias, C., Holm, D. D. and Titi, E. S. (2002) The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory. Journal of Dynamics and Differential Equations, 14, pp. 1-35.
    • (2002) Journal of Dynamics and Differential Equations , vol.14 , pp. 1-35
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 15
    • 0035873331 scopus 로고    scopus 로고
    • The Navier-Stokes-alpha model of fluid turbulence
    • Foias, C., Holm, D. D. and Titi, E. S. (2001) The Navier-Stokes-alpha model of fluid turbulence. Advances in nonlinear mathematics and science. Physica D, 152:153, pp. 505-519.
    • (2001) Physica D , vol.152 , Issue.153 , pp. 505-519
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 17
    • 0040951221 scopus 로고    scopus 로고
    • Fluctuation effect on 3d-Lagrangian mean and Eulerian mean fluid motion
    • Geurts, B. and Holm, D. (1999) Fluctuation effect on 3d-Lagrangian mean and Eulerian mean fluid motion. Physical D, 133, pp. 215-269.
    • (1999) Physical D , vol.133 , pp. 215-269
    • Geurts, B.1    Holm, D.2
  • 18
    • 0037279812 scopus 로고    scopus 로고
    • Regularization modeling for large eddy simulation
    • Geurts, B. and Holm, D. (2003) Regularization modeling for large eddy simulation. Physics of Fluids, 15, pp. L13-L16.
    • (2003) Physics of Fluids , vol.15
    • Geurts, B.1    Holm, D.2
  • 19
    • 11744318899 scopus 로고    scopus 로고
    • Euler-Poincare models of ideal fluids with nonlinear dispersion
    • Holm, D., Marsden and Ratiu, T. (1998) Euler-Poincare models of ideal fluids with nonlinear dispersion. Physical Review Letters, 80, pp. 4173-4176.
    • (1998) Physical Review Letters , vol.80 , pp. 4173-4176
    • Holm, D.1    Marsden Ratiu, T.2
  • 20
    • 33645065343 scopus 로고    scopus 로고
    • A modified-Leray-α subgrid scale model of turbulence
    • Ilyin, A., Lunasin, E. and Titi, E. S. (2006) A modified-Leray-α subgrid scale model of turbulence. Nonlinearity, 19, pp. 879-897.
    • (2006) Nonlinearity , vol.19 , pp. 879-897
    • Ilyin, A.1    Lunasin, E.2    Titi, E.S.3
  • 21
    • 15844380225 scopus 로고    scopus 로고
    • Attractors for the two-dimensional Navier-Stokes-α model: An α-dependence study
    • Ilyin, A. and Titi, E. S. (2003) Attractors for the two-dimensional Navier-Stokes-α model: An α-dependence study. Journal of Dynamics and Differential Equations, 14:4, pp. 751-778.
    • (2003) Journal of Dynamics and Differential Equations , vol.14 , Issue.4 , pp. 751-778
    • Ilyin, A.1    Titi, E.S.2
  • 22
    • 36849114603 scopus 로고
    • Inertial ranges in two-dimensional turbulence
    • Kraichnan, R. H. (1967) Inertial ranges in two-dimensional turbulence. Physics of Fluids, 10, pp. 1417-1423.
    • (1967) Physics of Fluids , vol.10 , pp. 1417-1423
    • Kraichnan, R.H.1
  • 23
    • 0001483505 scopus 로고
    • Inertial-range transfer in two- and three dimensional turbulence
    • Kraichnan, R. H. (1971) Inertial-range transfer in two- and three dimensional turbulence. Physics of Fluids, 10, pp. 525-535.
    • (1971) Physics of Fluids , vol.10 , pp. 525-535
    • Kraichnan, R.H.1
  • 25
    • 0037331178 scopus 로고    scopus 로고
    • Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence
    • Mohseni, K., Kosovic, B., Shkoller, S. and Marsden, J. (2003) Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Physics of Fluids, 15:2, pp. 524-544.
    • (2003) Physics of Fluids , vol.15 , Issue.2 , pp. 524-544
    • Mohseni, K.1    Kosovic, B.2    Shkoller, S.3    Marsden, J.4
  • 26
    • 0035339782 scopus 로고    scopus 로고
    • Enhancement of the inverse-cascade of energy in the two-dimensional averaged Euler equations
    • Nadiga, B. and Skoller (2001) Enhancement of the inverse-cascade of energy in the two-dimensional averaged Euler equations. Physics of Fluids, 13, pp. 1528-1531.
    • (2001) Physics of Fluids , vol.13 , pp. 1528-1531
    • Nadiga, B.1    Skoller2
  • 27
    • 33847363573 scopus 로고    scopus 로고
    • Viscosity versus vorticity stretching: Global well-posedness for a family of Navier-Stokes-alpha-like models
    • Olson, E. and Titi, E. S. Viscosity versus vorticity stretching: Global well-posedness for a family of Navier-Stokes-alpha-like models. Nonlinear Analysis A, 66:11, pp. 2427-2458.
    • Nonlinear Analysis A , vol.66 , Issue.11 , pp. 2427-2458
    • Olson, E.1    Titi, E.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.