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Two-point closure based large-eddy simulations in turbulence, Part 1: Isotropic turbulence
1. | Member of French Academy of Sciences, Laboratory for Geophysical and Industrial Flows, Grenoble |
References:
[1] |
J. C. André and M. Lesieur, Influence of helicity on high Reynolds number isotropic turbulence, J. Fluid Mech., 81 (1977), 187-207. |
[2] | |
[3] |
G. K. Batchelor and A. A. Townsend, Decay of vorticity in isotropic turbulence, Proc. Roy. Soc. Series A, 191 (1947), 534-550. |
[4] |
C. Bogey and C. Bailly, Investigation of downstream and sideline subsonic jet noise using large eddy simulation, Theor. Comp. Fluid Dyn., 20 (2006), 23-40.
doi: doi:10.1007/s00162-005-0005-7. |
[5] |
J. Borue and S. A. Orszag, Spectra in helical three-dimensional homogeneous isotropic turbulence, Phys. Rev. E, 55 (1997), 7005-7009.
doi: doi:10.1103/PhysRevE.55.7005. |
[6] |
C. M. Brauner, M. Frankel, J. Hulshof, et al, Stability and attractors for the quasi-steady equation of cellular flames, Interfaces and free boundaries, 8 (2006), 301-316. |
[7] |
J. P. Chollet and M. Lesieur, Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures, J. Atmos. Sci., 38 (1981), 2747-2757.
doi: doi:10.1175/1520-0469(1981)038<2747:POSSOT>2.0.CO;2. |
[8] |
Y. Dubief and F. Delcayre, On coherent-vortex identification in turbulence, J. Turb., 1 (2000), 11.
doi: doi:10.1088/1468-5248/1/1/011. |
[9] |
C. Foias and P. Penel, Dissipation totale de l'énergie dans l'équation de Frisch-Kraichnan-Lesieur, C. R. Acad. Sci., Paris, A-B, 280 (1975), A629-A632. |
[10] |
U. Frisch, "Turbulence: The Legacy of A. N. Kolmogorov," Cambridge University Press, 1995. |
[11] |
M. Germano, U. Piomelli, P. Moin and W. Cabot, A dynamic subgrid-scale eddy-viscosity model, Phys. Fluids A., 3 (1991), 1760-1765.
doi: doi:10.1063/1.857955. |
[12] |
T. Hughes, L. Mazzei, A. Oberai and A. Wray, The multiscale formulation of large-eddy simulation: decay of homogeneous isotropic turbulence, Phys. Fluids, 13 (2001), 505-512.
doi: doi:10.1063/1.1332391. |
[13] |
J. Hunt, A. Wray and P. Moin, Eddies, stream, and convergence zones in turbulent flows, Center for Turbulence Research Rep., CTR-S88 (1988), 193. |
[14] |
J. Jimenez, Turbulence, in "Perspectives in Fluid Mechanics" (G. K. Batchelor, H. K. Moffatt and M. G. Woster eds), Cambridge University Press, (2000), 231-283. |
[15] |
R. H. Kraichnan, Eddy viscosity in two and three dimensions, J. Atmos. Sci., 33 (1976), 1521-1536.
doi: doi:10.1175/1520-0469(1976)033<1521:EVITAT>2.0.CO;2. |
[16] |
E. Lamballais, O. Métais and M. Lesieur, Spectral-dynamic model for large-eddy simulations of turbulent rotating channel flow, Theor. Comp. Fluid Dyn., 12 (1997), 149-177.
doi: doi:10.1007/s001620050104. |
[17] |
J. Leray, Sur le mouvement d'un fluide visqueux emplissant l'espace, (French), J. Acta Math., 63 (1934), 193-248.
doi: doi:10.1007/BF02547354. |
[18] |
M. Lesieur and D. Schertzer, Amortissement auto similaire d'une turbulence à grand nombre de Reynolds, (French), Journal de Mécanique, 17 (1978), 609-646. |
[19] |
M. Lesieur, S. Ossia and O. Métais, Infrared pressure spectra in two- and three-dimensional isotropic incompressible turbulence, Phys. Fluids, 11 (1999), 1535-1543.
doi: doi:10.1063/1.870016. |
[20] |
M. Lesieur, O. Métais and P. Comte, "Large-Eddy Simulations of Turbulence," With a preface by James J. Riley, Cambridge University Press, New York, 2005. |
[21] |
M. Lesieur, "Turbulence in Fluids," 4th edition, Springer, 2008.
doi: doi:10.1007/978-1-4020-6435-7. |
[22] |
M. Lesieur and O. Métais, Large-eddy simulations for geophysical fluid dynamics, in "Handbook of Numerical Analysis" (R. Temam, J. Tribbia and P. Ciarlet, eds.), vol XIV, North-Holland, 2008. |
[23] |
O. Métais and M. Lesieur, Spectral large-eddy simulations of isotropic and stably-stratified turbulence, J. Fluid Mech., 239 (1992), 157-194. |
[24] |
S. A. Orszag, Analytical theories of turbulence, J. Fluid Mech., 41 (1970), 363-386.
doi: doi:10.1017/S0022112070000642. |
[25] |
J. Smagorinsky, General circulation experiments with the primitive equations, Mon. Weath. Rev., 91 (1963), 99-164. |
[26] |
show all references
References:
[1] |
J. C. André and M. Lesieur, Influence of helicity on high Reynolds number isotropic turbulence, J. Fluid Mech., 81 (1977), 187-207. |
[2] | |
[3] |
G. K. Batchelor and A. A. Townsend, Decay of vorticity in isotropic turbulence, Proc. Roy. Soc. Series A, 191 (1947), 534-550. |
[4] |
C. Bogey and C. Bailly, Investigation of downstream and sideline subsonic jet noise using large eddy simulation, Theor. Comp. Fluid Dyn., 20 (2006), 23-40.
doi: doi:10.1007/s00162-005-0005-7. |
[5] |
J. Borue and S. A. Orszag, Spectra in helical three-dimensional homogeneous isotropic turbulence, Phys. Rev. E, 55 (1997), 7005-7009.
doi: doi:10.1103/PhysRevE.55.7005. |
[6] |
C. M. Brauner, M. Frankel, J. Hulshof, et al, Stability and attractors for the quasi-steady equation of cellular flames, Interfaces and free boundaries, 8 (2006), 301-316. |
[7] |
J. P. Chollet and M. Lesieur, Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closures, J. Atmos. Sci., 38 (1981), 2747-2757.
doi: doi:10.1175/1520-0469(1981)038<2747:POSSOT>2.0.CO;2. |
[8] |
Y. Dubief and F. Delcayre, On coherent-vortex identification in turbulence, J. Turb., 1 (2000), 11.
doi: doi:10.1088/1468-5248/1/1/011. |
[9] |
C. Foias and P. Penel, Dissipation totale de l'énergie dans l'équation de Frisch-Kraichnan-Lesieur, C. R. Acad. Sci., Paris, A-B, 280 (1975), A629-A632. |
[10] |
U. Frisch, "Turbulence: The Legacy of A. N. Kolmogorov," Cambridge University Press, 1995. |
[11] |
M. Germano, U. Piomelli, P. Moin and W. Cabot, A dynamic subgrid-scale eddy-viscosity model, Phys. Fluids A., 3 (1991), 1760-1765.
doi: doi:10.1063/1.857955. |
[12] |
T. Hughes, L. Mazzei, A. Oberai and A. Wray, The multiscale formulation of large-eddy simulation: decay of homogeneous isotropic turbulence, Phys. Fluids, 13 (2001), 505-512.
doi: doi:10.1063/1.1332391. |
[13] |
J. Hunt, A. Wray and P. Moin, Eddies, stream, and convergence zones in turbulent flows, Center for Turbulence Research Rep., CTR-S88 (1988), 193. |
[14] |
J. Jimenez, Turbulence, in "Perspectives in Fluid Mechanics" (G. K. Batchelor, H. K. Moffatt and M. G. Woster eds), Cambridge University Press, (2000), 231-283. |
[15] |
R. H. Kraichnan, Eddy viscosity in two and three dimensions, J. Atmos. Sci., 33 (1976), 1521-1536.
doi: doi:10.1175/1520-0469(1976)033<1521:EVITAT>2.0.CO;2. |
[16] |
E. Lamballais, O. Métais and M. Lesieur, Spectral-dynamic model for large-eddy simulations of turbulent rotating channel flow, Theor. Comp. Fluid Dyn., 12 (1997), 149-177.
doi: doi:10.1007/s001620050104. |
[17] |
J. Leray, Sur le mouvement d'un fluide visqueux emplissant l'espace, (French), J. Acta Math., 63 (1934), 193-248.
doi: doi:10.1007/BF02547354. |
[18] |
M. Lesieur and D. Schertzer, Amortissement auto similaire d'une turbulence à grand nombre de Reynolds, (French), Journal de Mécanique, 17 (1978), 609-646. |
[19] |
M. Lesieur, S. Ossia and O. Métais, Infrared pressure spectra in two- and three-dimensional isotropic incompressible turbulence, Phys. Fluids, 11 (1999), 1535-1543.
doi: doi:10.1063/1.870016. |
[20] |
M. Lesieur, O. Métais and P. Comte, "Large-Eddy Simulations of Turbulence," With a preface by James J. Riley, Cambridge University Press, New York, 2005. |
[21] |
M. Lesieur, "Turbulence in Fluids," 4th edition, Springer, 2008.
doi: doi:10.1007/978-1-4020-6435-7. |
[22] |
M. Lesieur and O. Métais, Large-eddy simulations for geophysical fluid dynamics, in "Handbook of Numerical Analysis" (R. Temam, J. Tribbia and P. Ciarlet, eds.), vol XIV, North-Holland, 2008. |
[23] |
O. Métais and M. Lesieur, Spectral large-eddy simulations of isotropic and stably-stratified turbulence, J. Fluid Mech., 239 (1992), 157-194. |
[24] |
S. A. Orszag, Analytical theories of turbulence, J. Fluid Mech., 41 (1970), 363-386.
doi: doi:10.1017/S0022112070000642. |
[25] |
J. Smagorinsky, General circulation experiments with the primitive equations, Mon. Weath. Rev., 91 (1963), 99-164. |
[26] |
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