메뉴 건너뛰기




Volumn 172, Issue 3, 2004, Pages 333-362

Boundary layer for the Navier-Stokes-alpha model of fluid turbulence

Author keywords

[No Author keywords available]

Indexed keywords


EID: 3042671397     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-004-0305-x     Document Type: Article
Times cited : (21)

References (35)
  • 1
    • 0033912214 scopus 로고    scopus 로고
    • Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers
    • BARENBLATT, G. I., CHORIN, A. J., PROSTOKISHIN, V. M.: Self-similar intermediate structures in turbulent boundary layers at large Reynolds numbers. J. Fluid Mech. 410, 263-283 (2000)
    • (2000) J. Fluid Mech. , vol.410 , pp. 263-283
    • Barenblatt, G.I.1    Chorin, A.J.2    Prostokishin, V.M.3
  • 3
    • 0003026378 scopus 로고
    • Grenzschichten in Flüssigkeiten mit Kleiner Reibung
    • BLASIUS, H.: Grenzschichten in Flüssigkeiten mit Kleiner Reibung. Z. Math. u. Phys. 56, 1-37 (1908)
    • (1908) Z. Math. u. Phys. , vol.56 , pp. 1-37
    • Blasius, H.1
  • 5
    • 0001262719 scopus 로고    scopus 로고
    • The 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., WYNNE, S.: The Camassa-Holm equations as a closure model for turbulent channel and pipe flow. Phys. Rev. Lett. 81, 5338-5341 (1998)
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 5338-5341
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 6
    • 0032614269 scopus 로고    scopus 로고
    • A connection between the Camassa-Holm equations and turbulent flows in pipes and channels
    • CHEN, S., FOIAS, C., HOLM, D. D., OLSON, E., Tin, E. S., WYNNE, S.: A connection between the Camassa-Holm equations and turbulent flows in pipes and channels. Phys. Fluids, 11, 2343-2353 (1999)
    • (1999) Phys. Fluids , vol.11 , pp. 2343-2353
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Tin, E.S.5    Wynne, S.6
  • 8
    • 0038053956 scopus 로고    scopus 로고
    • Turbulent boundary layer equations
    • CHESKIDOV, A.: Turbulent boundary layer equations. C. R. Acad. Sci. Paris, Ser. I 334, 423-427 (2002)
    • (2002) C. R. Acad. Sci. Paris, Ser. I , vol.334 , pp. 423-427
    • Cheskidov, A.1
  • 11
    • 0000593729 scopus 로고
    • On a differential equation of boundary layer theory
    • COPPEL, W. A.: On a differential equation of boundary layer theory. Phil. Trans. Roy. Soc. London Ser. A 253, 101-136 (1960)
    • (1960) Phil. Trans. Roy. Soc. London Ser. A , vol.253 , pp. 101-136
    • Coppel, W.A.1
  • 12
    • 0013323182 scopus 로고    scopus 로고
    • Special LES volume of ERCOFTAC Bulletin, Modern Simulations Strategies for turbulent flow. B. J. Geurts, editor, Edwards Publishing
    • DOMARADZKI, J. A., HOLM, D. D.: Navier Stokes-alpha model: LES equations with nonlinear dispersion, Special LES volume of ERCOFTAC Bulletin, Modern Simulations Strategies for turbulent flow. B. J. Geurts, editor, Edwards Publishing
    • Navier Stokes-alpha Model: LES Equations with Nonlinear Dispersion
    • Domaradzki, J.A.1    Holm, D.D.2
  • 13
    • 0035873331 scopus 로고    scopus 로고
    • The Navier-Stokes-alpha model of fluid turbulence
    • FOIAS, C., HOLM, D. D., TITI, E. S.: The Navier-Stokes-alpha model of fluid turbulence. Physica D 152, 505-519 (2001)
    • (2001) Physica D , vol.152 , pp. 505-519
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 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., TITI, E. S.: 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, 1-35 (2002)
    • (2002) Journal of Dynamics and Differential Equations , vol.14 , pp. 1-35
    • Foias, C.1    Holm, D.D.2    Titi, E.S.3
  • 15
    • 0038793171 scopus 로고
    • Note on a boundary value problem
    • FURUYA, S.: Note on a boundary value problem. Comment. Math. Univ. St Paul 1, 81-83 (1953)
    • (1953) Comment. Math. Univ. St Paul , vol.1 , pp. 81-83
    • Furuya, S.1
  • 17
    • 11744318899 scopus 로고    scopus 로고
    • Euler-Poincaré models of ideal fluids with nonlinear dispersion
    • HOLM, D. D., MARSDEN, J. E., RATIU, T. S.: Euler-Poincaré Models of Ideal Fluids with Nonlinear Dispersion. Phys. Rev. Lett. 80, 4113-4116 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 4113-4116
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.S.3
  • 18
    • 3042653856 scopus 로고    scopus 로고
    • Boundary effects on exact solutions of the Lagrangian-averaged Navier-Stokes-α equations
    • HOLM, D. D., PUTKARADZE, V., WEIDMAN, P. D., WINGATE, B. A.: Boundary effects on exact solutions of the Lagrangian-averaged Navier-Stokes-α equations. J. Stat Phys. 113, 841-854 (2003)
    • (2003) J. Stat Phys. , vol.113 , pp. 841-854
    • Holm, D.D.1    Putkaradze, V.2    Weidman, P.D.3    Wingate, B.A.4
  • 19
    • 84915557130 scopus 로고
    • m mit m > 0 bei Absaugen und Ausblasen
    • m mit m > 0 bei Absaugen und Ausblasen. Z. Angew. Math. Mech. 33, 143-147 (1953)
    • (1953) Z. Angew. Math. Mech. , vol.33 , pp. 143-147
    • Iglisch, R.1
  • 20
    • 0038062910 scopus 로고    scopus 로고
    • On blowing-up solutions of the Blasius equation
    • ISHIMURA. N., MATSUI S.: On blowing-up solutions of the Blasius equation. Discrete Contin. Dyn. Syst. 9, 985-992 (2003)
    • (2003) Discrete Contin. Dyn. Syst. , vol.9 , pp. 985-992
    • Ishimura, N.1    Matsui, S.2
  • 23
    • 0347601794 scopus 로고    scopus 로고
    • Simplified models for turbulent diffusion: Theory, numerical modeling, and physical phenomena
    • MAJDA, A. J., KRAMER, P. R.: Simplified models for turbulent diffusion: theory, numerical modeling, and physical phenomena. Physics Reports 314, 237-574 (1999)
    • (1999) Physics Reports , vol.314 , pp. 237-574
    • Majda, A.J.1    Kramer, P.R.2
  • 24
    • 0038111248 scopus 로고    scopus 로고
    • Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounded domains
    • MARSDEN, J. E., SHKOLLER, S.: Global well-posedness for the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounded domains. R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci., 359, 1449-1468 (2001)
    • (2001) R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci. , vol.359 , pp. 1449-1468
    • Marsden, J.E.1    Shkoller, S.2
  • 25
    • 0037243629 scopus 로고    scopus 로고
    • The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
    • MARSDEN, J. E., SHKOLLER, S.: The anisotropic Lagrangian averaged Euler and Navier-Stokes equations. Arch. Ration. Mech. Anal. 166, 27-46 (2003)
    • (2003) Arch. Ration. Mech. Anal. , vol.166 , pp. 27-46
    • Marsden, J.E.1    Shkoller, S.2
  • 26
    • 0037331178 scopus 로고    scopus 로고
    • Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence
    • MOHSENI, K., KOSOVIĆ, B., SHKOLLER, S., MARSDEN, J. E.: Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogeneous isotropic turbulence. Phys. Fluids. 15 524-544 (2003)
    • (2003) Phys. Fluids. , vol.15 , pp. 524-544
    • Mohseni, K.1    Kosović, B.2    Shkoller, S.3    Marsden, J.E.4
  • 27
    • 0001357461 scopus 로고
    • Über die ausgebildete Turbulenz
    • PRANDTL, L.: Über die ausgebildete Turbulenz. ZAMM 5, 136-139 (1925)
    • (1925) ZAMM , vol.5 , pp. 136-139
    • Prandtl, L.1
  • 28
    • 0001987016 scopus 로고
    • Über Flüssigkeitsbewegung bei sehr kleiner Reibung
    • Heidelberg
    • PRANDTL, L.: Über Flüssigkeitsbewegung bei sehr kleiner Reibung. Proc. III. Intern. Math. Congr., Heidelberg (1904). Reprinted in Vier Abhdlg. zur Hudro- u. Aerodynamik, Göttingen (1927)
    • (1904) Proc. III. Intern. Math. Congr.
    • Prandtl, L.1
  • 29
    • 84862385990 scopus 로고
    • Reprinted in, Göttingen
    • PRANDTL, L.: Über Flüssigkeitsbewegung bei sehr kleiner Reibung. Proc. III. Intern. Math. Congr., Heidelberg (1904). Reprinted in Vier Abhdlg. zur Hudro- u. Aerodynamik, Göttingen (1927)
    • (1927) Vier Abhdlg. zur Hudro- u. Aerodynamik
  • 30
    • 42749106714 scopus 로고    scopus 로고
    • Wakes and boundary layer flows in Navier-Stokes α equations
    • PUTKARADZE, V., WEIDMAN, P.: Wakes and boundary layer flows in Navier-Stokes α equations. Physical Review E, 67, 036304 (2003)
    • (2003) Physical Review E , vol.67 , pp. 036304
    • Putkaradze, V.1    Weidman, P.2
  • 31
    • 0002734527 scopus 로고
    • The influence of a turbulent free-stream on zero pressure gradient transitional boundary layer development including the condition test cases T3A and T3B
    • eds O. PIRONNEAU et al., Cambridge University Press, Cambridge
    • ROACH, P. E., BRIERLAY, D. H.: The influence of a turbulent free-stream on zero pressure gradient transitional boundary layer development including the condition test cases T3A and T3B. In Numerical Simulation of Unsteady Flows and Transition to Turbulence (eds O. PIRONNEAU et al., Cambridge University Press, Cambridge, 1989
    • (1989) Numerical Simulation of Unsteady Flows and Transition to Turbulence
    • Roach, P.E.1    Brierlay, D.H.2
  • 32
    • 0038116195 scopus 로고
    • On a boundary problem for an equation of Blasius
    • ŠČERBINA, G. V.: On a boundary problem for an equation of Blasius. Sov. Math., Dokl. 2, 1219-1222 (1961)
    • (1961) Sov. Math., Dokl. , vol.2 , pp. 1219-1222
    • Ščerbina, G.V.1
  • 34
    • 84984013890 scopus 로고
    • An elementary proof for the Blasius equation
    • TAM, K. K.: An elementary proof for the Blasius equation. Z. Angew. Math. Mech. 51, 318-319 (1971)
    • (1971) Z. Angew. Math. Mech. , vol.51 , pp. 318-319
    • Tam, K.K.1
  • 35
    • 0001589076 scopus 로고
    • On the differential equations of the simplest boundary-layer problems
    • WEYL, H.: On the differential equations of the simplest boundary-layer problems. Ann. Math. 43, 381-407 (1942)
    • (1942) Ann. Math. , vol.43 , pp. 381-407
    • Weyl, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.