Numerically induced high-pass dynamics in large-eddy simulation

The numerical distortion of the smallest resolved-scale dynamics in large-eddy simulation may be understood in terms of the filter that is induced by the spatial discretization. At marginal subfilter resolution r=Δ∕h, with filter width Δ and grid spacing h, the character of the large-eddy closure problem is strongly influenced by the numerical method. We show that additional high-pass contributions arise from the spatial discretization. The relative importance of, on the one hand, the turbulent stresses and, on the other hand, the numerically induced contributions, is quantified for general finite differencing methods. We derive and analyze the induced filters for several popular discretization methods, including higher order central and upwind methods. The application of these induced filters to small-scale turbulent flow structures gives rise to a characteristic amplitude reduction and phase shift. Their dynamic relevance is quantified in terms of the subfilter resolution. The numerical high-pass effect...

[1]  Bernardus J. Geurts,et al.  COMPARISON OF NUMERICAL SCHEMES IN LARGE-EDDY SIMULATION OF THE TEMPORAL MIXING LAYER , 1996 .

[2]  B. Geurts.  Numerical aspects of a block-structured flow solver , 1993 .

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

[4]  N. Mansour.  Large-eddy simulation of a turbulent mixing layer , 1978 .

[5]  B. Geurts,et al.  Database-analysis of errors in Large-Eddy Simulation , 2003 .

[6]  Hervé Jeanmart,et al.  On the modelling of the subgrid-scale and filtered-scale stress tensors in large-eddy simulation , 2001, Journal of Fluid Mechanics.

[7]  Fotini Katopodes Chow,et al.  The effect of numerical errors and turbulence models in large-eddy simulations of channel flow, with and without explicit filtering , 2003, Journal of Fluid Mechanics.

[8]  Daniel E. Goldstein,et al.  On the role of subgrid-scale coherent modes in large-eddy simulation , 2005, Journal of Fluid Mechanics.

[9]  Bernardus J. Geurts,et al.  Modern strategies for turbulent flow simulation , 2001 .

[10]  P. Moin,et al.  A General Class of Commutative Filters for LES in Complex Geometries , 1998 .

[11]  B. Geurts.  Elements of direct and large-eddy simulation , 2003 .

[12]  F. Grinstein,et al.  Monotonically integrated large eddy simulation of free shear flows , 1999 .

[13]  B. Geurts.  Inverse modeling for large-eddy simulation , 1997 .

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

[15]  U. Schumann.  Subgrid Scale Model for Finite Difference Simulations of Turbulent Flows in Plane Channels and Annuli , 1975 .

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

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

[18]  B. Wasistho,et al.  Simulation techniques for spatially evolving instabilities in compressible flow over a flat plate , 1997 .

[19]  Marcel Lesieur,et al.  Turbulence in fluids , 1990 .

[20]  C. Meneveau,et al.  Scale-Invariance and Turbulence Models for Large-Eddy Simulation , 2000 .

[21]  Lagrangian dynamics of commutator errors in large-eddy simulation , 2005 .

[22]  J. P. Boris,et al.  New insights into large eddy simulation , 1992 .

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

[24]  M. Lesieur,et al.  New Trends in Large-Eddy Simulations of Turbulence , 1996 .

[25]  T. Lund.  The use of explicit filters in large eddy simulation , 2003 .

[26]  Bernardus J. Geurts,et al.  Commutator errors in the filtering approach to large-eddy simulation , 2005 .

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

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

[29]  N. Adams,et al.  Implicit subgrid-scale modeling by adaptive deconvolution , 2004 .

[30]  B. Geurts,et al.  Numerical aspects of a block structured compressible flow solver , 1993 .