Building proper invariants for eddy-viscosity subgrid-scale models

Copyright 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

[1]  G. Kindlmann,et al.  Orthogonal tensor invariants and the analysis of diffusion tensor magnetic resonance images , 2006, Magnetic resonance in medicine.

[2]  Andrew Ooi,et al.  Dynamics of the velocity gradient tensor invariants in isotropic turbulence , 1998 .

[3]  P. Moin,et al.  A dynamic localization model for large-eddy simulation of turbulent flows , 1995, Journal of Fluid Mechanics.

[4]  F. X. Trias,et al.  A scalable parallel Poisson solver for three-dimensional problems with one periodic direction , 2010 .

[5]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[6]  J. Ferziger,et al.  Evaluation of subgrid-scale models using an accurately simulated turbulent flow , 1979, Journal of Fluid Mechanics.

[7]  D. Lilly,et al.  A proposed modification of the Germano subgrid‐scale closure method , 1992 .

[8]  A. Veldman,et al.  Symmetry-preserving discretization of turbulent flow , 2003 .

[9]  John Kim,et al.  DIRECT NUMERICAL SIMULATION OF TURBULENT CHANNEL FLOWS UP TO RE=590 , 1999 .

[10]  Gianluca Iaccarino,et al.  A subgrid-scale eddy-viscosity model based on the volumetric strain-stretching , 2014 .

[11]  Dean R. Chapman,et al.  The limiting behaviour of turbulence near a wall , 1986, Journal of Fluid Mechanics.

[12]  F. Nicoud,et al.  Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor , 1999 .

[13]  Brian J. Cantwell,et al.  On the behavior of velocity gradient tensor invariants in direct numerical simulations of turbulence , 1993 .

[14]  A study of properties of vortex stretching and enstrophy generation in numerical and laboratory turbulence , 1997 .

[15]  Brian J. Cantwell,et al.  Exact solution of a restricted Euler equation for the velocity gradient tensor , 1992 .

[16]  Thomas J. R. Hughes,et al.  The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence , 2001 .

[17]  R. Adrian,et al.  On the relationships between local vortex identification schemes , 2005, Journal of Fluid Mechanics.

[18]  Hans Kuerten,et al.  Large-eddy simulation of the temporal mixing layer using the Clark model , 1996 .

[19]  S. Corrsin,et al.  Simple Eulerian time correlation of full-and narrow-band velocity signals in grid-generated, ‘isotropic’ turbulence , 1971, Journal of Fluid Mechanics.

[20]  P. Moin,et al.  A dynamic subgrid‐scale eddy viscosity model , 1990 .

[21]  Jungil Lee,et al.  A dynamic subgrid-scale eddy viscosity model with a global model coefficient , 2006 .

[22]  Joel H. Ferziger,et al.  New approximate boundary conditions for large eddy simulations of wall-bounded flows , 1989 .

[23]  P. Moin,et al.  A dynamic global-coefficient subgrid-scale eddy-viscosity model for large-eddy simulation in complex geometries , 2007 .

[24]  Jose C. F. Pereira,et al.  Invariants of the velocity-gradient, rate-of-strain, and rate-of-rotation tensors across the turbulent/nonturbulent interface in jets , 2008 .

[25]  A. W. Vreman.  An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications , 2004 .

[26]  S. Frankel,et al.  Large eddy simulation of thermal driven cavity: Evaluation of sub-grid scale models and flow physics , 2013 .

[27]  F. Nicoud,et al.  Using singular values to build a subgrid-scale model for large eddy simulations , 2011 .

[28]  P. Moin,et al.  Numerical investigation of turbulent channel flow , 1981, Journal of Fluid Mechanics.

[29]  Ivan Marusic,et al.  Evolution and lifetimes of flow topology in a turbulent boundary layer , 2010 .

[30]  Diego Donzis,et al.  The bottleneck effect and the Kolmogorov constant in isotropic turbulence , 2010, Journal of Fluid Mechanics.

[31]  Application of vortex identification schemes to direct numerical simulation data of a transitional boundary layer , 2013 .

[32]  Julio Soria,et al.  A study of the fine‐scale motions of incompressible time‐developing mixing layers , 1992 .

[33]  M. S. Chong,et al.  A general classification of three-dimensional flow fields , 1990 .

[34]  Haecheon Choi,et al.  Dynamic global model for large eddy simulation of transient flow , 2010 .

[35]  Parviz Moin,et al.  A dynamic eddy-viscosity model based on the invariants of the rate-of-strain , 2011 .

[36]  Roel Verstappen.  When Does Eddy Viscosity Damp Subfilter Scales Sufficiently? , 2011, J. Sci. Comput..

[37]  C. Meneveau,et al.  A Lagrangian dynamic subgrid-scale model of turbulence , 1994, Journal of Fluid Mechanics.

[38]  F. Xavier Trias,et al.  A simple approach to discretize the viscous term with spatially varying (eddy-)viscosity , 2013, J. Comput. Phys..

[39]  F. X. Trias,et al.  A Self-Adaptive Strategy for the Time Integration of Navier-Stokes Equations , 2011 .