메뉴 건너뛰기




Volumn 37, Issue 6, 2003, Pages 893-908

Mathematical analysis of a spectral hyperviscosity LES model for the simulation of turbulent flows

Author keywords

Large Eddy simulation; Navier Stokes equations; Turbulence

Indexed keywords


EID: 0346316983     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an:2003060     Document Type: Article
Times cited : (29)

References (30)
  • 1
    • 0037141110 scopus 로고    scopus 로고
    • A subgrid-scale deconvolution approach for shock capturing
    • N.A. Adams and S. Stolz, A subgrid-scale deconvolution approach for shock capturing. J. Comput. Phys. 178 (2002) 391-426.
    • (2002) J. Comput. Phys. , vol.178 , pp. 391-426
    • Adams, N.A.1    Stolz, S.2
  • 2
    • 0019637009 scopus 로고
    • A study of barotropic model flows: Intermittency, waves and predictability
    • C. Basdevant, B. Legras, R. Sadourny and M. Béland, A study of barotropic model flows: intermittency, waves and predictability. J. Atmospheric Sci. 38 (1981) 2305-2326.
    • (1981) J. Atmospheric Sci. , vol.38 , pp. 2305-2326
    • Basdevant, C.1    Legras, B.2    Sadourny, R.3    Béland, M.4
  • 4
    • 84990576577 scopus 로고
    • Partial regularity of suitable weak solutions of the Navier-Stokes equations
    • L. Caffarelli, R. Kohn and L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations. Comm. Pure Appl. Math. 35 (1982) 771-831.
    • (1982) Comm. Pure Appl. Math. , vol.35 , pp. 771-831
    • Caffarelli, L.1    Kohn, R.2    Nirenberg, L.3
  • 5
    • 84968504287 scopus 로고
    • Spectral viscosity approximations to multidimensionnal scalar conservation laws
    • G.-Q. Chen, Q. Du and E. Tadmor, Spectral viscosity approximations to multidimensionnal scalar conservation laws. Math. Comp. 61 (1993) 629-643.
    • (1993) Math. Comp. , vol.61 , pp. 629-643
    • Chen, G.-Q.1    Du, Q.2    Tadmor, E.3
  • 6
    • 0032614269 scopus 로고    scopus 로고
    • A connection between the Camassa-Holm equation and turbulent flows in channels and pipes
    • S. Chen, C. Foias, D.D. Holm, E. Olson, E.S. Titi and S. Wynne, A connection between the Camassa-Holm equation and turbulent flows in channels and pipes. Phys. Fluids 11 (1999) 2343-2353.
    • (1999) Phys. Fluids , vol.11 , pp. 2343-2353
    • Chen, S.1    Foias, C.2    Holm, D.D.3    Olson, E.4    Titi, E.S.5    Wynne, S.6
  • 7
    • 0019728740 scopus 로고
    • Parametrization of small scales of three-dimensional Isotropic turbulence utilizing spectral closures
    • J.P. Chollet and M. Lesieur, Parametrization of small scales of three-dimensional Isotropic turbulence utilizing spectral closures. J. Atmospheric Sci. 38 (1981) 2747-2757.
    • (1981) J. Atmospheric Sci. , vol.38 , pp. 2747-2757
    • Chollet, J.P.1    Lesieur, M.2
  • 8
    • 0037268980 scopus 로고    scopus 로고
    • Vorticity dynamics and turbulence models for Large-Eddy Simulations
    • G.-H. Cottet, D. Jiroveanu and B. Michaux, Vorticity dynamics and turbulence models for Large-Eddy Simulations. ESAIM: M2AN 37 (2003) 187-207.
    • (2003) ESAIM: M2AN , vol.37 , pp. 187-207
    • Cottet, G.-H.1    Jiroveanu, D.2    Michaux, B.3
  • 10
    • 0033630156 scopus 로고    scopus 로고
    • Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
    • J. Duchon and R. Robert, Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations. Nonlinearity 13 (2000) 249-255.
    • (2000) Nonlinearity , vol.13 , pp. 249-255
    • Duchon, J.1    Robert, R.2
  • 11
    • 0347376381 scopus 로고    scopus 로고
    • Mathematical perspectives on the Large Eddy Simulation models for turbulent flows
    • In press
    • J.-L. Guermond, J.T. Oden and S. Prudhomme, Mathematical perspectives on the Large Eddy Simulation models for turbulent flows. J. Math. Fluid Mech. (2003). In press.
    • (2003) J. Math. Fluid Mech.
    • Guermond, J.-L.1    Oden, J.T.2    Prudhomme, S.3
  • 12
    • 0014743317 scopus 로고
    • On the initial value problem for an incompressible fluid with nonlinear viscosity
    • S. Kaniel, On the initial value problem for an incompressible fluid with nonlinear viscosity. J. Math. Mech. 19 (1970) 681-706.
    • (1970) J. Math. Mech. , vol.19 , pp. 681-706
    • Kaniel, S.1
  • 13
    • 0002160841 scopus 로고    scopus 로고
    • A spectral vanishing viscosity method for large-eddy simulations
    • G.-S. Karamanos and G.E. Karniadakis, A spectral vanishing viscosity method for large-eddy simulations. J. Comput. Phys. 163 (2000) 22-50.
    • (2000) J. Comput. Phys. , vol.163 , pp. 22-50
    • Karamanos, G.-S.1    Karniadakis, G.E.2
  • 14
    • 0031224859 scopus 로고    scopus 로고
    • Vorticity filaments in two-dimensional turbulence: Creation, stability and effect
    • N.K.-R. Kevlahan and M. Farge, Vorticity filaments in two-dimensional turbulence: creation, stability and effect. J. Fluid Mech. 346 (1997) 49-76.
    • (1997) J. Fluid Mech. , vol.346 , pp. 49-76
    • Kevlahan, N.K.-R.1    Farge, M.2
  • 15
    • 0016984033 scopus 로고
    • Eddy viscosity in two and three dimensions
    • R.H. Kraichnan, Eddy viscosity in two and three dimensions. J. Atmospheric sci. 33 (1976) 1521-1536.
    • (1976) J. Atmospheric Sci. , vol.33 , pp. 1521-1536
    • Kraichnan, R.H.1
  • 16
    • 0038200260 scopus 로고
    • Modification of the Navier-Stokes equations for large velocity gradients
    • Boundary value problems of mathematical physics and related aspects of function theory, Part II, O.A. Ladyženskaja Ed., New York, London, Consultant Bureau
    • O.A. Ladyženskaja, Modification of the Navier-Stokes equations for large velocity gradients, in Seminars in Mathematics V.A. Stheklov Mathematical Institute, Vol. 7, Boundary value problems of mathematical physics and related aspects of function theory, Part II, O.A. Ladyženskaja Ed., New York, London (1970), Consultant Bureau.
    • (1970) Seminars in Mathematics V.A. Stheklov Mathematical Institute , vol.7
    • Ladyženskaja, O.A.1
  • 17
    • 25944478501 scopus 로고
    • New equations for the description of motion of viscous incompressible fluds and solvability in the large of boundary value problems for them
    • Boundary value problems of mathematical physics, O.A. Ladyženskaja Ed., V, Providence, Rhode Island. AMS
    • O.A. Ladyženskaja, New equations for the description of motion of viscous incompressible fluds and solvability in the large of boundary value problems for them, in Proc. of the Stheklov Institute of Mathematics, number 102 (1967), Boundary value problems of mathematical physics, O.A. Ladyženskaja Ed., V, Providence, Rhode Island (1970). AMS.
    • (1970) Proc. of the Stheklov Institute of Mathematics, Number 102 (1967)
    • Ladyženskaja, O.A.1
  • 18
    • 0040757733 scopus 로고    scopus 로고
    • Spectral-dynamic model for large-eddy simulations of turbulent rotating channel flow
    • E. Lamballais, O. Métais and M. Lesieur, Spectral-dynamic model for large-eddy simulations of turbulent rotating channel flow. Theoret. Comput. Fluid Dynamics 12 (1998) 149-177.
    • (1998) Theoret. Comput. Fluid Dynamics , vol.12 , pp. 149-177
    • Lamballais, E.1    Métais, O.2    Lesieur, M.3
  • 19
    • 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 (1974) 237-248.
    • (1974) Adv. Geophys. , vol.18 , pp. 237-248
    • Leonard, A.1
  • 20
    • 51249193194 scopus 로고
    • Essai sur le mouvement d'un fluide visqueux emplissant l'espace
    • J. Leray, Essai sur le mouvement d'un fluide visqueux emplissant l'espace. Acta Math. 63 (1934) 193-248.
    • (1934) Acta Math. , vol.63 , pp. 193-248
    • Leray, J.1
  • 21
    • 0000163087 scopus 로고
    • Large-eddy simulations of passive scalar diffusion in isotropic turbulence
    • M. Lesieur and R. Roggalo, Large-eddy simulations of passive scalar diffusion in isotropic turbulence. Phys. Fluids A 1 (1989) 718-722.
    • (1989) Phys. Fluids A , vol.1 , pp. 718-722
    • Lesieur, M.1    Roggalo, R.2
  • 22
    • 0039272584 scopus 로고
    • Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires
    • J.-L. Lions, Quelques résultats d'existence dans des équations aux dérivées partielles non linéaires. Bull. Soc. Math. France 87 (1959) 245-273.
    • (1959) Bull. Soc. Math. France , vol.87 , pp. 245-273
    • Lions, J.-L.1
  • 23
    • 0001090724 scopus 로고
    • Sur certaines équations paraboliques non linéaires
    • J.-L. Lions, Sur certaines équations paraboliques non linéaires. Bull. Soc. Math. France 93 (1965) 155-175.
    • (1965) Bull. Soc. Math. France , vol.93 , pp. 155-175
    • Lions, J.-L.1
  • 25
    • 0027577995 scopus 로고
    • Legendre pseudospectral viscosity method for nonlinear conservation laws
    • Y. Maday, M. Ould Kaber and E. Tadmor, Legendre pseudospectral viscosity method for nonlinear conservation laws. SIAM J. Numer. Anal. 30 (1993) 321-342.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 321-342
    • Maday, Y.1    Ould Kaber, M.2    Tadmor, E.3
  • 26
    • 0348006717 scopus 로고    scopus 로고
    • Explicit-scales projections of the partitioned non-linear term in direct numerical simulation of the Navier-Stokes equation
    • Ascona, March 23-27
    • D. McComb and A. Young, Explicit-scales projections of the partitioned non-linear term in direct numerical simulation of the Navier-Stokes equation, in Second Monte Verita Colloquium on Fundamental Problematic Issues in Fluid Turbulence, Ascona, March 23-27 (1998). Available on the Internet at http://xxx.soton.ac.uk/abs/physics/9806029.
    • (1998) Second Monte Verita Colloquium on Fundamental Problematic Issues in Fluid Turbulence
    • McComb, D.1    Young, A.2
  • 27
    • 0002117826 scopus 로고
    • Hausdorff measure and the Navier-Stokes equations
    • V. Scheffer, Hausdorff measure and the Navier-Stokes equations. Comm. Math. Phys. 55 (1977) 97-112.
    • (1977) Comm. Math. Phys. , vol.55 , pp. 97-112
    • Scheffer, V.1
  • 28
    • 0009967161 scopus 로고
    • Nearly one-dimensional singularities of solutions to the Navier-Stokes inequality
    • V. Scheffer, Nearly one-dimensional singularities of solutions to the Navier-Stokes inequality. Comm. Math. Phys. 110 (1987) 525-551.
    • (1987) Comm. Math. Phys. , vol.110 , pp. 525-551
    • Scheffer, V.1
  • 29
    • 0001957739 scopus 로고
    • General circulation experiments with the primitive equations, part i: The basic experiment
    • J. Smagorinsky, General circulation experiments with the primitive equations, part i: the basic experiment, Monthly Wea. Rev. 91 (1963) 99-152.
    • (1963) Monthly Wea. Rev. , vol.91 , pp. 99-152
    • Smagorinsky, J.1
  • 30
    • 0002147664 scopus 로고
    • Convergence of spectral methods for nonlinear conservation laws
    • E. Tadmor, Convergence of spectral methods for nonlinear conservation laws, SIAM J. Numer. Anal. 26 (1989) 30-44.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 30-44
    • Tadmor, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.