Regularization-based sub-grid scale (SGS) models for large eddy simulations (LES) of high-Re decaying isotropic turbulence

References

• Lesieur , M. and Metais , O. 1996 . New trends in large-eddy simulations of turbulence . Ann. Rev. Fluid. Mech. , 28 : 45 – 82 .
   Web of Science ®Google Scholar
• Meneveau , C. and Katz , J. 2000 . Scale-invariance and turbulence models for large eddy simulation . Ann. Rev. Fluid. Mech. , 32 : 1 – 32 .
   Web of Science ®Google Scholar
• Grinstein , F. F. , Margolin , L. G. and Rider , W. J. 2007 . Implicit Large Eddy Simulation: Computing Turbulent Fluid Dynamics , New York and Cambridge, , UK : Cambridge University Press .
   Google Scholar
• Pope , S. B. 2000 . Turbulent Flows , Cambridge University Press .
   Google Scholar
• Cheskidov , A. , Holm , D. , Olson , E. and Edriss , S. T. 2005 . On a Leray-α model of turbulence . Proc. Royal Soc. London, A , 461 : 629 – 649 .
   Google Scholar
• Geurts , B. J. and Holm , D. 2003 . Regularization modelling for large-eddy simulation . Phys. Fluids , 15 : L13 – L16 .
   Web of Science ®Google Scholar
• Geurts , B. J. and Holm . 2006 . Leray and LANS-α modelling of turbulent mixing . J. Turbulence , 7 : 1 – 33 .
   Google Scholar
• Leray , J. 1934 . Essai sur le mouvement d'un fluide visqueux emplissant l'espace . Acta Math. , 63 : 193 – 248 .
   Web of Science ®Google Scholar
• Reeuwijk , M. V. , Jonker , H. J. J. and Hanjali , K. 2006 . Incompressibility of the Leray-α model for wall-bounded flows . Phys. Fluids , 18 : 018103
   Web of Science ®Google Scholar
• Geurts , B. J. , Kuczaj , A. and Titi , E. 2008 . Regularization modelling for large-eddy simulation of homogenous isotropic decaying turbulence . J. Phys. A: Math. Theor. , 41 : 344008
   Web of Science ®Google Scholar
• Chen , S. 1998 . Camassa-Holm equations as a closure model for turbulent channel and pipe flow . Phys. Rev. Let. , 81 : 5338 – 5341 .
   Web of Science ®Google Scholar
• Chen , S. 1999 . A connection between the Camassa-Holm equations and turbulent flows in channels and pipes . Phys. Fluids , 11 : 2343 – 2353 .
   Web of Science ®Google Scholar
• Chen , S. 1999 . Direct numerical simulations of the Navier–Stokes alpha model . Phys. D Nonlinear Phenom. , 133 : 66 – 83 .
   Web of Science ®Google Scholar
• Holm , D. , Marsden , J. E. and Ratiu , T. S. 1998 . Euler-Poincare models of ideal fluids with nonlinear dispersion . Phys. Rev. Lett. , 80 : 4173 – 4176 .
   Web of Science ®Google Scholar
• Holm , D. 2002 . Lagrangian averages, averaged Lagrangians, and the mean effects of fluctuations in fluid dynamics . Chaos , 12 : 518 – 530 .
   PubMed Web of Science ®Google Scholar
• Mohseni , K. 2003 . Numerical simulations of the Lagrangian averaged Navier-Stokes equations for homogenous isotropic turbulence . Phys. Fluids. , 15 : 524 – 544 .
   Web of Science ®Google Scholar
• Graham , J. 2008 . Three regularization models of the Navier–Stokes equations . Phys. Fluids , 20 : 035107
   Web of Science ®Google Scholar
• Graham , J. P. 2007 . Highly turbulent solutions of the Lagrangian-averaged Navier-Stokes α model and their large eddy simulation potential . Phys. Rev. Lett. , 76 : 056310
   Google Scholar
• Cao , C. , Holm , D. and Titi , E. S. 2005 . On the Clark-α model of turbulence: Global regularity and long-time dynamics . J. Turbulence , 6 : N20
   Google Scholar
• Clark , R. A. , Ferziger , J. H. and Reynolds , W. C. 1979 . Evaluation of subgrid-scale models using an accurately simulated turbulent flow . J. Fluid Mech. , 91 : 1 – 16 .
   Web of Science ®Google Scholar
• Leonard , A. 1974 . Energy cascade in large-eddy simulations of turbulent flows . Advances in Geophys. , 18A : 237 – 248 .
   Google Scholar
• Orszag , S. A. and Patterson , G. S. 1986 . “ Numerical simulation of turbulence ” . In Statistical Models and Turbulence , 127 – 147 . New York : Springer-Verlag .
   Google Scholar
• Rogallo , R. S. 1981 . Numerical Experiments in Homogeneous Turbulence , NASA . NASA TM 81315
   Google Scholar
• Smagorinsky , J. 1963 . General circulation experiments with the primitive equations. I. The basic experiment . Mon. Weather Rev. , 91 : 99 – 164 .
   Google Scholar
• Chandy , A. and Frankel , S. 2007 . FFT-based pseudo spectral codes for turbulence modeling , New York : IBM Watson Research Center, York Heights .
   Google Scholar
• Canuto , C. 1987 . Spectral Methods in Fluid Dynamics , New York : Springer-Verlag .
   Google Scholar
• Pope , S. B. 2000 . Turbulent Flows , Cambridge : Cambridge University Press .
   Google Scholar
• Lilly , D. K. 1967 . “ The representation of small-scale turbulence in numerical simulation experiments ” . In Proceedings of IBM Scientific Computing Symposium Environmental Sciences 195 – 210 . IBM Form No. 320-1951
   Google Scholar
• Jeong , J. and Hussain , F. 1995 . On the identification of a vortex . J. Fluid Mech. , 285 : 69 – 94 .
   Web of Science ®Google Scholar
• Kang , H. , Chester , S. and Meneveau , C. 2003 . Decaying turbulence in an active-grid-generated flow and comparisons with large-eddy-simulation . J. Fluid Mech. , 480 : 129 – 160 .
   Web of Science ®Google Scholar
• Orszag , S. A. 1973 . Numerical simulation of the Taylor-Green vortex . Lect. Notes Comput Sci. , 11 : 50 – 64 .
   Google Scholar
• Brachet , M. E. 1983 . Small scale structure of the Taylor-Green vortex . J. Fluid Mech. , 130 : 411 – 452 .
   Web of Science ®Google Scholar
• Brachet , M. E. 1991 . Direct numerical simulation of three-dimensional turbulence in Taylor-Green vortex . Fluid Dynamics Res. , 8 : 1 – 8 .
   Web of Science ®Google Scholar
• Bensow , R. , Larson , M. and Vesterlund , P. 2007 . Vorticity-strain residual-based turbulence modelling of the Taylor-Green vortex . Int. J. Numer. Meth. Fluids , 54 : 745 – 756 .
   Web of Science ®Google Scholar
• Highes , T. 1995 . Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid-scale models, bubbles and the origins of stabilized methods . Comput. Meth. Appl. Mech. Engg. , 127 : 387 – 401 .
   Web of Science ®Google Scholar
• Drikakis , D. 2007 . Simulation of transition and turbulence decay in the Taylor-Green vortex . J. Turbulence , 8 : 20
   Google Scholar
• Holm , D. 2002 . Karman-Howarth theorem for the Lagrangian-averaged Navier-Stokes-alpha model of turbulence . J. Fluid Mech. , 467 : 205 – 214 .
   Web of Science ®Google Scholar
• Winckelmans , A. 2001 . Explicit filtering large-eddy simulation using the tensor-diffusivity model supplemented by a dynamic Smagorinsky term . Phys. Fluids , 13 : 1385 – 1403 .
   Web of Science ®Google Scholar