Large-eddy simulation of the flow in a lid-driven cubical cavity

Large-eddy simulations of the turbulent flow in a lid-driven cubical cavity have been carried out at a Reynolds number of 12000 using spectral element methods. Two distinct subgrid-scales models, namely a dynamic Smagorinsky model and a dynamic mixed model, have been both implemented and used to perform long-lasting simulations required by the relevant time scales of the flow. All filtering levels make use of explicit filters applied in the physical space (on an element-by-element approach) and spectral (modal) spaces. The two subgrid-scales models are validated and compared to available experimental and numerical reference results, showing very good agreement. Specific features of lid-driven cavity flow in the turbulent regime, such as inhomogeneity of turbulence, turbulence production near the downstream corner eddy, small-scales localization and helical properties are investigated and discussed in the large-eddy simulation framework. Time histories of quantities such as the total energy, total turbulen...

[1]  H. Kuhlmann,et al.  Accurate three-dimensional lid-driven cavity flow , 2005 .

[2]  J. Ferziger,et al.  Improved turbulence models based on large eddy simulation of homogeneous, incompressible, turbulent flows , 1983 .

[3]  A. Patera,et al.  Spectral element methods for the incompressible Navier-Stokes equations , 1989 .

[4]  B. Geurts,et al.  Large-eddy simulation of the turbulent mixing layer , 1997, Journal of Fluid Mechanics.

[5]  Jae Min Hyun,et al.  Numerical simulation of three-dimensional flow structure in a driven cavity , 1989 .

[6]  V. Meleshko,et al.  On steady Stokes flow in a trihedral rectangular corner , 2003, Journal of Fluid Mechanics.

[7]  M. Breuer.  LARGE EDDY SIMULATION OF THE SUBCRITICAL FLOW PAST A CIRCULAR CYLINDER: NUMERICAL AND MODELING ASPECTS , 1998 .

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

[9]  Caskey,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS I . THE BASIC EXPERIMENT , 1962 .

[10]  Julian F. Scott,et al.  An Introduction to Turbulent Flow , 2000 .

[11]  K. Horiuti.  A new dynamic two-parameter mixed model for large-eddy simulation , 1997 .

[12]  S. Sherwin,et al.  Large Eddy Simulation Using Unstructured Spectral/ HP Elements , 1999 .

[13]  Robert L. Street,et al.  The Lid-Driven Cavity Flow: A Synthesis of Qualitative and Quantitative Observations , 1984 .

[14]  J. B. Perot,et al.  An analysis of the fractional step method , 1993 .

[15]  S Ghosal.  AN ANALYSIS OF NUMERICAL ERROR IN LARGE EDDY SIMULATION OF TURBULENCE , 1996 .

[16]  Johan Meyers,et al.  Optimality of the dynamic procedure for large-eddy simulations , 2005 .

[17]  P. Moin,et al.  On the Effect of Numerical Errors in Large Eddy Simulations of Turbulent Flows , 1997 .

[18]  C. Meneveau,et al.  On the properties of similarity subgrid-scale models as deduced from measurements in a turbulent jet , 1994, Journal of Fluid Mechanics.

[19]  B. Geurts,et al.  On the formulation of the dynamic mixed subgrid-scale model , 1994 .

[20]  Hervé Jeanmart,et al.  Explicit-filtering large-eddy simulation using the tensor-diffusivity model supplemented by a dynami , 2001 .

[21]  A. Tsinober,et al.  On the helical nature of three-dimensional coherent structures in turbulent flows , 1983 .

[22]  Emmanuel Leriche,et al.  Large-Eddy Simulation of the Lid-Driven Cubic Cavity Flow by the Spectral Element Method , 2006, J. Sci. Comput..

[23]  J. Koseff,et al.  Reynolds number and end‐wall effects on a lid‐driven cavity flow , 1989 .

[24]  B. Geurts,et al.  A framework for predicting accuracy limitations in large-eddy simulation , 2002 .

[25]  George Em Karniadakis,et al.  A Spectral Vanishing Viscosity Method for Large-Eddy Simulations , 2000 .

[26]  John P. Boyd,et al.  Two Comments on Filtering (Artificial Viscosity) for Chebyshev and Legendre Spectral and Spectral Element Methods , 1998 .

[27]  M. Germano.  A proposal for a redefinition of the turbulent stresses in the filtered Navier–Stokes equations , 1986 .

[28]  Hugh Maurice Blackburn,et al.  Spectral element filtering techniques for large eddy simulation with dynamic estimation , 2003 .

[29]  M. Salvetti,et al.  Large-eddy simulation of free-surface decaying turbulence with dynamic subgrid-scale models , 1997 .

[30]  S. Ghosal.  An Analysis of Numerical Errors in Large-Eddy Simulations of Turbulence , 1996 .

[31]  S. Orszag,et al.  SPECTRA IN HELICAL THREE-DIMENSIONAL HOMOGENEOUS ISOTROPIC TURBULENCE , 1997 .

[32]  J. Koseff,et al.  Application of a dynamic subgrid-scale model to turbulent recirculating flows , 1993 .

[33]  Emmanuel Leriche,et al.  Direct Numerical Simulation in a Lid-Driven Cubical Cavity at High Reynolds Number by a Chebyshev Spectral Method , 2006, J. Sci. Comput..

[34]  S. Pope.  Turbulent Flows: FUNDAMENTALS , 2000 .

[35]  E. Leriche,et al.  Direct numerical simulation of the flow in a lid-driven cubical cavity , 2000 .

[36]  M. D. Deshpande,et al.  FLUID MECHANICS IN THE DRIVEN CAVITY , 2000 .

[37]  J. Koseff,et al.  A dynamic mixed subgrid‐scale model and its application to turbulent recirculating flows , 1993 .

[38]  H. K. Moffatt,et al.  Helicity in Laminar and Turbulent Flow , 1992 .

[39]  Doyle Knight,et al.  Recent Advances in DNS and LES , 1999 .

[40]  Radhakrishna Sureshkumar,et al.  Viscoelastic effects on the stability of wall-bounded shear flows , 2002 .

[41]  J. Smagorinsky,et al.  GENERAL CIRCULATION EXPERIMENTS WITH THE PRIMITIVE EQUATIONS , 1963 .

[42]  Maria Vittoria Salvetti,et al.  A Priori Tests of a New Dynamic Subgrid-Scale Model for Finite-Difference Large-Eddy Simulations , 1995 .

[43]  Wang Neng-Chao,et al.  A unified incompressible lattice BGK model and its application to three-dimensional lid-driven cavity flow , 2004 .

[44]  Julia S. Mullen,et al.  Filter-based stabilization of spectral element methods , 2001 .

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

[46]  Parviz Moin,et al.  A Recommended Modification to the Dynamic Two-Parameter Mixed Subgrid Scale Model , 2001 .

[47]  Cha’o-Kuang Chen,et al.  TIP4P potential for lid-driven cavity flow , 2005 .

[48]  Emmanuel Leriche.  Direct numerical simulation of a lid-driven cavity flow by a Chebyshev spectral method , 1999 .

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

[50]  P. Fischer,et al.  High-Order Methods for Incompressible Fluid Flow , 2002 .

[51]  P. Sagaut.  BOOK REVIEW: Large Eddy Simulation for Incompressible Flows. An Introduction , 2001 .