Turbulence control simulation using the variational multiscale method

The capabilities of the variational multiscale (VMS) method are explored in the context of turbulence control by applying VMS to the simulation of a simple opposition-control strategy for turbulent channel flow with the results compared to prior direct numerical simulations and large-eddy simulations based on the dynamic subgrid-scale model. In all cases, the VMS method is found to be more efficient and more accurate than the dynamic model, and the simplicity, accuracy, and generality of VMS makes it particularly attractive for turbulence control investigations

[1]  Mohamed Gad-el-Hak,et al.  Introduction to Flow Control , 1998 .

[2]  Thomas J. R. Hughes,et al.  Energy transfers and spectral eddy viscosity in large-eddy simulations of homogeneous isotropic turbulence: Comparison of dynamic Smagorinsky and multiscale models over a range of discretizations , 2004 .

[3]  P. Moin,et al.  The basic equations for the large eddy simulation of turbulent flows in complex geometry , 1995 .

[4]  T. Hughes,et al.  The variational multiscale formulation of LES - Channel Flow at Re(sub tau) = 590 , 2002 .

[5]  P. Moin,et al.  The minimal flow unit in near-wall turbulence , 1991, Journal of Fluid Mechanics.

[6]  Fazle Hussain,et al.  Coherent structures near the wall in a turbulent channel flow , 1997, Journal of Fluid Mechanics.

[7]  Parviz Moin,et al.  Active turbulence control for drag reduction in wall-bounded flows , 1994, Journal of Fluid Mechanics.

[8]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .

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

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

[11]  R. Temam,et al.  On some control problems in fluid mechanics , 1990 .

[12]  Srinivas Ramakrishnan,et al.  Viscous effects in control of near-wall turbulence , 2002 .

[13]  S. Collis,et al.  Monitoring unresolved scales in multiscale turbulence modeling , 2001 .

[14]  R. Goodman,et al.  Application of neural networks to turbulence control for drag reduction , 1997 .

[15]  T. Hughes,et al.  Large Eddy Simulation and the variational multiscale method , 2000 .

[16]  John A. Ekaterinaris,et al.  High-order accurate, low numerical diffusion methods for aerodynamics , 2005 .

[17]  L. Hou,et al.  Incompressible Computational Fluid Dynamics: Optimal Control and Optimization of Viscous, Incompressible Flows , 1993 .

[18]  S. Scott Collis,et al.  The DG/VMS Method for Unified Turbulence Simulation , 2002 .

[19]  Parviz Moin,et al.  Observed mechanisms for turbulence attenuation and enhancement in opposition-controlled wall-bounded flows , 1998 .

[20]  Eric Markland,et al.  Flow Visualization in Turbulent Boundary Layers , 1971 .

[21]  R. D. Prabhu,et al.  Large eddy simulation and turbulence control , 2000 .

[22]  Srinivas Ramakrishnan,et al.  Variational multiscale methods for turbulence control , 2003 .

[23]  Ronald D. Joslin,et al.  Issues in active flow control: theory, control, simulation, and experiment , 2004 .

[24]  Javier Jiménez,et al.  The autonomous cycle of near-wall turbulence , 1999, Journal of Fluid Mechanics.

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

[26]  R. D. Prabhu,et al.  The influence of control on proper orthogonal decomposition of wall-bounded turbulent flows , 2001 .

[27]  Thomas J. R. Hughes,et al.  Large eddy simulation of turbulent channel flows by the variational multiscale method , 2001 .

[28]  Roger Temam,et al.  DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms , 2001, Journal of Fluid Mechanics.

[29]  P. Moin,et al.  Turbulence statistics in fully developed channel flow at low Reynolds number , 1987, Journal of Fluid Mechanics.

[30]  P. Moin,et al.  Large-eddy simulation of turbulent confined coannular jets , 1996, Journal of Fluid Mechanics.