Assessment Measures for Engineering LES Applications

Anticipating that large eddy simulations will increasingly become the future engineering tool for research, development, and design, it is deemed necessary to formulate some quality assessment measures that can be used to judge the resolution of turbulent scales and the accuracy of predictions. In this context some new and refined measures are proposed and compared with those already published by the authors in the common literature. These measures involve (a) fraction of the total turbulent kinetic energy, (b) relative grid size with respect to Kolmogorov or Taylor scales, and (c) relative effective subgrid/numerical viscosity with respect to molecular viscosity. In addition, an attempt is made to segregate the contributions from numerical and modeling errors. Proposed measures are applied to various test cases and validated against fully resolved large eddy simulation and/or direct numerical simulation whenever possible.

[1]  Johan Meyers,et al.  Assessment of LES quality measures using the error landscape approach , 2008 .

[2]  Markus Klein,et al.  Direct numerical simulation of a spatially developing water sheet at moderate Reynolds number , 2005 .

[3]  Markus Klein,et al.  An Attempt to Assess the Quality of Large Eddy Simulations in the Context of Implicit Filtering , 2005 .

[4]  Heinz Pitsch,et al.  Large-eddy simulation of a bluff-body-stabilized non-premixed flame using a recursive filter-refinement procedure , 2005 .

[5]  A. Yoshizawa A statistically‐derived subgrid model for the large‐eddy simulation of turbulence , 1982 .

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

[7]  Markus Klein,et al.  An improved method to assess the quality of large eddy simulations in the context of implicit filtering , 2006 .

[8]  Hyung Jin Sung,et al.  A wall-bounded turbulent mixing layer flow over an open step: I. Time-mean and spectral characteristics , 2006 .

[9]  Christophe Bailly,et al.  LARGE EDDY SIMULATIONS OF ROUND FREE JETS USING EXPLICIT FILTERING WITH/WITHOUT DYNAMIC SMAGORINSKY MODEL , 2006, Proceeding of Fourth International Symposium on Turbulence and Shear Flow Phenomena.

[10]  Parviz Moin,et al.  Large-eddy simulation of a rotor tip-clearance flow , 2001 .

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

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

[13]  P. Sagaut Large Eddy Simulation for Incompressible Flows , 2001 .

[14]  Ismail Celik,et al.  Index of resolution quality for large eddy simulations , 2005 .

[15]  Johannes Janicka,et al.  Investigation of the influence of the Reynolds number on a plane jet using direct numerical simulation , 2003 .

[16]  Johannes Janicka,et al.  Assessment measures for URANS/DES/LES: an overview with applications , 2006 .

[17]  Meng Wang,et al.  Analysis of stability and accuracy of finite-difference schemes on a skewed mesh , 2006, J. Comput. Phys..

[18]  P. Moin,et al.  A further study of numerical errors in large-eddy simulations , 2003 .

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

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

[21]  Patrick J. Roache,et al.  Verification and Validation in Computational Science and Engineering , 1998 .

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