1,143
Views
45
CrossRef citations to date
0
Altmetric
Original Articles

Assessment measures for URANS/DES/LES: an overview with applications

, , &
Article: N48 | Published online: 30 Oct 2009

References

  • Conti , S. , Anderson , C. W. , Kennedy , M. C. and O'Hagan , A. 2005 . A Bayesian analysis of complex dynamic computer models . Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO) . 2005 , Santa Fe, NM. http://library.lanl.gov/
  • Rebba , R. , Mahadevan , S. and Huang , S. 2005 . Validation and error estimation of computational models . Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO) . 2005 , Santa Fe, NM. http://library.lanl.gov/
  • Roache , P. J. 1998 . Verification and Validation in Computational Science and Engineering , Albuquerque : Hermosa Publishers .
  • Roache , P. J. 1994 . Perspective: a method for uniform reporting of grid refinement studies . Journal of Fluids Engineering , 116 : 405 – 413 . [CSA]
  • Celik , I. and Karatekin , O. 1997 . Numerical experiments on application of Richardson extrapolation with nonuniform grids . Journal of Fluids Engineering , 119 : 584 – 590 . [CSA]
  • Celik , I. and Li , J. 2005 . Assessment of numerical uncertainty for the calculations of turbulent flow over a backward facing step . International Journal on Numerical Methods in Fluids , 49 : 1015 – 1013 . [CROSSREF] [CSA]
  • Eça , L. and Hoekstra , M. 2004 . Proceedings of Workshop on CFD Uncertainty Analysis Lisbon
  • Eça , L. and Hoekstra , M. 2004 . On the grid sensitivity of the wall boundary condition of the k-ω turbulence model . Journal of Fluids Engineering , 126 : 900 – 910 . [CROSSREF] [CSA]
  • Stern , F. , Wilson , R. and Shao , J. 2004 . “ Quantitative V&V of CFD simulations and certification of CFD codes with examples ” . In Proceedings of CHT-04, ICHMT International Symposium on Adv. in Comp. Heat Transfer
  • Ghanem , R. 2003 . Workshop on Elements of Predictability , Baltimore : John Hopkins University . Organizer
  • Hanson , K. M. and Hemez , F. M. 2005 . Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO) . 2005 , Santa Fe, NM. http://library.lanl.gov/
  • Zador , J. , Zsely , I. Gy. and Turanyi , T. Local and global uncertainty analysis of complex chemical kinetic systems . Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO) . Santa Fe, NM. http://library.lanl.gov/
  • Tomlin , A. S. The evaluation of combustion mechanisms using local and global sensitivity and uncertainty methods . Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO) . Santa Fe, NM. http://library.lanl.gov/
  • Cervantes , M. J. and Engstrom , F. T. 2004 . Factorial design applied to CFD . Journal of Fluids Engineering , 126 : 791 – 798 . [CROSSREF] [CSA]
  • Anderson , W. K. and Venkatakrishnan , V. 1997 . Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation 97 – 0643 . AIAA paper
  • Giles , M. B. and Pierce , N. A. 2000 . An introduction to adjoint approach to design . Flow Turbulence and Combustion , 65 : 393 – 415 . [CROSSREF] [CSA]
  • Laforest , M. 2005 . “ A survey of error indicators and error estimators for hyperbolic problems ” . In Technical Report, Ecole Polytechnique , Montreal, Quebec : private communication .
  • Zhang , Z. , Pelletier , D. , Trapanier , J. Y. and Camarero , J. Y. 2001 . Numerical assessment of error estimates for Euler equations . AIAA Journal , 39 : 1706 – 1715 . [CSA]
  • Ferziger , J. H. 1989 . “ Estimation and reduction of numerical error ” . In ASME Winter Annual Meeting San Francisco, CA
  • Sonar , T. 1993 . Strong and weak norm refinement indicators based on the finite element residual for compressible flow computations . Impact of Computational Science Engineering , 5 : 111 – 127 . [CROSSREF] [CSA]
  • Giles , M. B. and Pierce , N. A. 1997 . Adjoint equations in CFD: duality, boundary conditions and solution behaviour . AIAA Paper , : 97 – 1850 . [CSA]
  • Newman , III , J. , C. , Taylor , III , A. , C. , Barnwell. , R. W. , Newman , P. A. , Hou and J. , -W. G. 1999 . Overview of sensitivity analysis and shape optimization for complex aerodynamic configurations . Journal of Aircraft , 36 ( 1 ) : 87 – 96 . [CSA]
  • Becker , R. and Rannacher , R. 1994 . “ Weighted a posteriori error control in finite element methods ” . In Technical report , 96 – 1 . Universität Heidelberg . preprint No.
  • Süli , E. 1996 . “ A posteriori error analysis and global error control for adaptive finite element approximations of hyperbolic problem ” . In Proceedings of the 16th Biennial Conf. in Numerical Analysis
  • Hoffman , J. 2004 . On duality based a posteriori error estimation in various norms and linear functionals for LES . SIAM Journal of Science Computation , 26 ( 1 ) : 178 – 195 . [CROSSREF] [CSA]
  • Giles , M. B. 1998 . “ On adjoint equations for error analysis and optimal grid adaptation in CFD ” . In Frontiers of Computational Fluid Dynamics , Edited by: D. , A. Caughey and M. , M. Hafez . pp. 155 – 170 . Singapore : World Scientific .
  • Celik , I. and Hu , G. 2004 . Single grid error estimation using error transport equation . Journal of Fluids Engineering , 126 : 778 – 790 . [CROSSREF] [CSA]
  • Celik , I. and Hu , G. 2002 . “ Discretization error estimation using error transport equation ” . In ASME Fluids Engineering Division Summer Meeting Montreal, Quebec, , Canada
  • Hay , A. and Visonneau , M. 2004 . “ CFD uncertainty analysis for turbulent flows using error equation method ” . In Proceedings of Workshop on CFD Uncertainty Analysis Lisbon, , Portugal
  • Richardson , L. F. 1910 . The approximate arithmetical solution by finite differences of physical problems involving differential equations, with an application to the stresses in a Masonry dam . Transactions of the Royal Society of London, Series A , 210 : 307 – 357 . [CSA]
  • Orozco , C. , Claramunt , K. , Consul , R. and Oliva , A. 2004 . “ Finite volume computation and verification of fluid flow and heat transfer in domains with moving boundaries ” . In European Congress on Comp. Meth. Applied Science Engineering Jyvaskyla, , Finland
  • Celik , I. , Li , J. , Hu , G. and Shaffer , C. 2005 . Limitation of Richardson extrapolation and some possible remedies . Journal of Fluids Engineering , 127 : 795 – 805 . [CROSSREF] [CSA]
  • Celik , I. , Cehreli , Z. N. and Yavuz , I. 2005 . Index of resolution quality for large eddy simulations . Journal of Fluids Engineering , 127 : 949 – 958 . [CROSSREF] [CSA]
  • Celik , I. , Cehreli , Z. N. and Yavuz , I. Index of resolution quality for large eddy simulations . ASME FED Summer Meeting . Honolulu, Hawaii, USA.
  • Klein , M. 2005 . An attempt to assess the quality of large eddy simulations in the context of implicit filtering . Flow Turbulence and Combustion , 75 : 131 – 147 . [CROSSREF] [CSA]
  • Geurts , B. J. and Froehlich , J. 2001 . “ Numerical effects contaminating LES; a mixed story. ” . In Modern Strategies for Turbulent Flow Simulation. , Edited by: B. , J. Geurts . pp. 317 – 347 . Flourtown, PA : Edwards Publishing .
  • Geurts , B. J. and Froehlich , J. 2002 . A framework for predicting accuracy limitations in large eddy simulation . Physics of Fluids , 14 : 41 – 44 . [CROSSREF] [CSA]
  • Gullbrand , J. and Chow , F. K. 2002 . “ Investigation of numerical errors, subfilter-scale models, and subgrid-scale models in turbulent channel flow simulations. ” . In Centre for Turbulence Research Proceedings of the Summer Program , Stanford University .
  • Lilly , D. 1967 . “ The representation of small scale turbulence in numerical simulation experiments. ” . In Proceedings of the IBM Scientific Computing Symposium on Environmental Science pp. 195 – 210 .
  • Pope , S. B. 2000 . Turbulent Flows , Cambridge : Cambridge University Press .
  • Froehlich , J. and Rodi , W. 2002 . “ Introduction to LES of turbulent flows. ” . In Closure Strategies for Turbulent and Transitional Flows , Edited by: B. , Launder and N. , Sandham . pp. 267 – 298 . Cambridge : Cambridge University Press .
  • Saric , S. , Jakirlic , S. and Tropea , C. 2005 . A periodically perturbed backward-facing step flow by means of LES, DES and T_RANS: an example of flow separation control . Journal of Fluids Engineering , 127 : 879 – 887 . [CROSSREF] [CSA]
  • Kim , J. , Moin , P. and Moser , R. 1987 . Turbulence statistics in fully developed channel flow at low Reynolds number . Journal of Fluid Mechanics , 177 : 133 – 166 . [CROSSREF] [CSA]
  • Celik , I. , Klein , M. and Janicka . 2006 . “ Assessment measures for LES applications. ” . In Proceedings FEDSM2006, ASME Joint U.S. European Fluids Engineering Summer Meeting Miami, FL
  • Freitag , M. and Klein , M. 2006 . An improved method to assess the quality of large eddy simulations in the context of implicit filtering . Journal of Turbulence , 7 : 1 – 11 . [CROSSREF] [CSA]
  • Klein , M. , Sadiki , A. and Janicka , J. 2003 . A digital filter based generation of inflow data for spatially developing direct numerical or large eddy simulations . Journal of Computational Physics , 186 : 652 – 665 . [CROSSREF] [CSA]
  • Lund , T. S. , Wu , X. and Squires , D. 1998 . Generation of turbulent inflow data for spatially-developing boundary layer simulations . Journal of Computational Physics , 140 : 233 – 258 . [CROSSREF] [CSA]
  • Smirnov , A. , Shi , S. and Celik , I. 2001 . Random flow generation technique for large eddy simulations and particle-dynamics modelling . Journal of Fluids Engineering , 123 : 359 – 371 . [CROSSREF] [CSA]
  • Keating , A. , Piomelli , U. , Balaras , E. and Kaltenbach , H. -J. 2004 . A priori and a posteriori tests of inflow conditions for large eddy simulations. . Physics of Fluids , 16 ( 28 ) : 4696 – 4712 . [CROSSREF] [CSA]
  • Batten , P. , Goldberg , U. and Chakravarthy , S. 2004 . Interfacing statistical turbulence closures with large-eddy simulation . AIAA Journal , 42 : 485 – 492 . [CSA]
  • Moin , P. and Mahesh , K. 1998 . Direct numerical simulation, a tool in turbulence research . Annual Review of Fluid Mechanics , 30 : 539 – 578 . [CROSSREF] [CSA]
  • Sagaut , P. 1998 . Large Eddy Simulation for Incompressible Flows , Berlin : Springer .
  • Di Mare , L. , Klein , M. , Jones , W. P. and Janicka , J. 2006 . Synthetic turbulence inflow conditions for large eddy simulation . Physics of Fluids , 18 ( 025107 ) : 1 – 11 . [CSA]
  • Tutar , M. , Celik , I. and Yavuz , I. 2004 . “ The role of inflow turbulence for large eddy simulation on modelling of bluff body flows ” . In ASME 2004 Heat Transfer/Fluids Engineering Summer Conference Charlotte, NC
  • Shi , S. , Celik , I. , Smirnov , A. and Yavuz , I. “ Large-eddy simulation of ship wakes. ” . In Journal of Ship Research at press.
  • Klein , M. , Sadiki , A. and Janicka , J. 2003 . Investigation of the influence of the Reynolds number on a plane jet using direct numerical simulation . International Journal of Heat and Fluid Flow , 24 ( 6 ) : 785 – 794 . [CROSSREF] [CSA]
  • Freitag , M. and Klein , M. 2005 . Direct numerical simulation of a recirculating, swirling flow . Flow Turbulence and Combustion , 75 : 51 – 66 . [CROSSREF] [CSA]
  • Kempf , A. , Klein , M. and Janicka , J. 2005 . Efficient generation of initial- and inflow-conditions for transient turbulent flows in arbitrary geometries . Flow Turbulence and Combustion , 74 : 67 – 84 . [CROSSREF] [CSA]
  • Jarrin , N. , Benhamadouche , S. and Laurence , D. 2005 . “ Inflow conditions for large eddy simulation using a new vortex method ” . In 4th International Symposium on Turbulence and Shear Flow Phenomena Williamsburg, Virginia
  • Stanley , S. A. , Sarkar , S. and Mellado , J. P. 2002 . A study of the flow field evolution and mixing in a planar turbulent jet using direct numerical simulation . Journal of Fluid Mechanics , 450 : 377 – 407 . [CSA]
  • Li , J. 2005 . Critical issues for predicting worker exposure in a wind tunnel , PhD Thesis
  • Papula , L. 1997 . Mathematik für Ingenieure und Naturwissenschaftler Band 3 , Braunschweig, , Germany : Vieweg Verlag .
  • Shaffer , C. 2005 . Master Thesis Morgantown, WV : West Virginia University .
  • Huebsch , W. W. 2006 . Two-dimensional simulation of dynamic surface roughness for aerodynamic flow control . Journal of Aircraft , 43 ( 2 ) : 353 – 362 . [CSA]
  • ERCOFTAC Classic Collection Database – http://cfd.me.umist.ac.uk/ercoftac accessed December 11, 2005.
  • Tafti , D. 2005 . Private communication, High Performance Computational Fluid Thermal Science & Engineering Lab , Virginia Tech : Mechanical Engineering Department .
  • Viswanathan , A. K. and Tafti , D. K. 2004 . “ Detached eddy simulation of turbulent flow and heat transfer in a ribbed duct ” . In Proceedings of Heat Transfer/Fluids Engineering Summer Conference ASME Charlotte, NC HT-FED04-56152
  • Hu , G. 2005 . PhD Thesis Morgantown, WV : West Virginia University .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.