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

Journal of Turbulence

Volumn 7, Issue , 2006, Pages 1-27

  Celik, I ^a   Klein, M ^b   Freitag, M ^b   Janicka, J ^b  

^a West Virginia University   (United States)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Assessment measures; DES; Inlet boundary conditions; LES; Modeling; Numerical and statistical uncertainty; Unsteady RANS

Indexed keywords

BOUNDARY CONDITIONS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; ERROR ANALYSIS; EXTRAPOLATION; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; UNSTEADY FLOW;

COMPUTATIONAL FLUID DYNAMICS; LARGE EDDY SIMULATION; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL;

EID: 33746584494     PISSN: None     EISSN: 14685248     Source Type: Journal    
DOI: 10.1080/14685240600794379     Document Type: Review

References (68)

1. 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), Santa Fe, NM, http://library.lanl.gov/.
2. 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), Santa Fe, NM, http://library.lanl.gov/.
3. Roache, P.J., 1998, Verification and Validation in Computational Science and Engineering (Albuquerque: Hermosa Publishers).
4. Roache, P.J., 1994, Perspective: a method for uniform reporting of grid refinement studies. Journal of Fluids Engineering, 116, 405-413.
5. Celik, I. and Karatekin, O., 1997, Numerical experiments on application of Richardson extrapolation with nonuniform grids. Journal of Fluids Engineering, 119, 584-590.
6. 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.
7. Eça, L. and Hoekstra, M. (eds.), 2004, Proceedings of Workshop on CFD Uncertainty Analysis Lisbon.
8. 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.
9. Stern, F., Wilson, R., and Shao, J., 2004, Quantitative V&V of CFD simulations and certification of CFD codes with examples. Proceedings of CHT-04, ICHMT International Symposium on Adv. in Comp. Heat Transfer.
10. Ghanem, R. (Organizer), 2003, Workshop on Elements of Predictability (Baltimore: John Hopkins University).
11. Hanson, K.M. and Hemez, F.M., eds., 2005, http://library.lanl.gov/ Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO), Santa Fe, NM.
12. Zador, J., Zsely I. Gy., and Turanyi, T., 2005, Local and global uncertainty analysis of complex chemical kinetic systems. http://library.lanl.gov/ Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO), Santa Fe, NM.
13. Tomlin, A.S., 2005, The evaluation of combustion mechanisms using local and global sensitivity and uncertainty methods. http://library.lanl.gov/ Proceedings of the 4th International Conference on Sensitivity Analysis of Model Output (SAMO), Santa Fe, NM.
14. Cervantes, M.J. and Engstrom, F.T., 2004, Factorial design applied to CFD. Journal of Fluids Engineering, 126:791-798.
15. Anderson, W.K. and Venkatakrishnan, V., 1997, Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation. AIAA paper 97-0643.
16. Giles, M.B. and Pierce, N.A., 2000, An introduction to adjoint approach to design. Flow Turbulence and Combustion, 65, 393-415.
17. Laforest, M., 2005, A survey of error indicators and error estimators for hyperbolic problems. Technical Report, Ecole Polytechnique, Montreal, Quebec, private communication.
18. 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.
19. Ferziger, J.H., 1989, Estimation and reduction of numerical error. ASME Winter Annual Meeting, San Francisco, CA.
20. 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.
21. Giles, M.B. and Pierce, N.A., 1997, Adjoint equations in CFD: duality, boundary conditions and solution behaviour. AIAA Paper 97-1850.
22. Newman III, J.C., Taylor III, A.C., Barnwell. R.W., Newman, P.A., and Hou, J.-W.G., 1999, Overview of sensitivity analysis and shape optimization for complex aerodynamic configurations. Journal of Aircraft, 36(1), 87-96.
23. Becker, R. and Rannacher, R., 1994, Weighted a posteriori error control in finite element methods. Technical report, Universität Heidelberg, preprint No.96-1.
24. Süli, E., 1996, A posteriori error analysis and global error control for adaptive finite element approximations of hyperbolic problem. Proceedings of the l6th Biennial Conf. in Numerical Analysis.
25. 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.
26. Giles, M.B., 1998, On adjoint equations for error analysis and optimal grid adaptation in CFD. In D.A. Caughey and M.M. Hafez (Eds.), Frontiers of Computational Fluid Dynamics (Singapore: World Scientific) pp. 155-170.
27. Celik, I. and Hu, G., 2004, Single grid error estimation using error transport equation. Journal of Fluids Engineering, 126, 778-790.
28. Celik, I. and Hu, G., 2002, Discretization error estimation using error transport equation. ASME Fluids Engineering Division Summer Meeting, Montreal, Quebec, Canada.
29. Hay, A. and Visonneau, M., 2004, CFD uncertainty analysis for turbulent flows using error equation method. Proceedings of Workshop on CFD Uncertainty Analysis, Lisbon, Portugal.
30. 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.
31. 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. European Congress on Comp. Meth. Applied Science Engineering, Jyvaskyla, Finland.
32. 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.
33. Celik, I., Cehreli, Z.N., and Yavuz, I., 2003, Index of resolution quality for large eddy simulations. Journal of Fluids Engineering, 127, 949-958.
34. Celik, I., Cehreli, Z.N., and Yavuz, I., 2003, Index of resolution quality for large eddy simulations. ASME FED Summer Meeting, Honolulu, Hawaii, USA.
35. 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.
36. Geurts, B.J. and Froehlich, J., 2001, Numerical effects contaminating LES; a mixed story. In B.J. Geurts (Eds.), Modern Strategies for Turbulent Flow Simulation. (Flourtown, PA: Edwards Publishing) pp. 317-347.
37. Geurts, B.J. and Froehlich, J., 2002, A framework for predicting accuracy limitations in large eddy simulation. Physics of Fluids, 14, 41-44.
38. Gullbrand, J. and Chow, F.K., 2002, Investigation of numerical errors, subfilter-scale models, and subgrid-scale models in turbulent channel flow simulations. Centre for Turbulence Research Proceedings of the Summer Program, Stanford University.
39. Lilly, D., 1967, The representation of small scale turbulence in numerical simulation experiments. Proceedings of the IBM Scientific Computing Symposium on Environmental Science, pp. 195-210.
40. Pope S.B., 2000, Turbulent Flows (Cambridge: Cambridge University Press).
41. Froehlich, J. and Rodi, W., 2002, Introduction to LES of turbulent flows. In B. Launder and N. Sandham (Eds.), Closure Strategies for Turbulent and Transitional Flows (Cambridge: Cambridge University Press) pp. 267-298.
42. Saric, S., Jakirlic, S., and Tropea, C., 2005, A periodically perturbed backward-facing step flow by means of LES, DES and TRANS: an example of flow separation control. Journal of Fluids Engineering, 127, 879-887.
43. 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.
44. Celik, I., Klein, M., and Janicka, 2006, Assessment measures for LES applications. Proceedings FEDSM2006, ASME Joint U.S. European Fluids Engineering Summer Meeting, Miami, FL.
45. Freitag, M. and M. Klein, 2006, An improved method to assess the quality of large eddy simulations in the context of implicit filtering. Journal of Turbulence, 7, 1-11.
46. 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.
47. 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.
48. 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.
49. 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.
50. Batten, P., Goldberg, U., and Chakravarthy, S., 2004, Interfacing statistical turbulence closures with large-eddy simulation. AIAA Journal, 42, 485-492.
51. Moin, P. and Mahesh, K., 1998, Direct numerical simulation, a tool in turbulence research. Annual Review of Fluid Mechanics, 30, 539-578.
52. Sagaut, P., 1998, Large Eddy Simulation for Incompressible Flows (Berlin: Springer).
53. 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.
54. Tutar, M., Celik, I., and Yavuz, I., 2004, The role of inflow turbulence for large eddy simulation on modelling of bluff body flows ASME 2004 Heat Transfer/Fluids Engineering Summer Conference, Charlotte, NC.
55. Shi, S., Celik, I., Smimov, A., and Yavuz, I., Large-eddy simulation of ship wakes. Journal of Ship Research, at press.
56. 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.
57. Freitag, M. and Klein, M., 2005, Direct numerical simulation of a recirculating, swirling flow. Flow Turbulence and Combustion, 75, 51-66.
58. 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.
59. Jarrin, N., Benhamadouche, S., and Laurence, D., 2005, Inflow conditions for large eddy simulation using a new vortex method. 4th International Symposium on Turbulence and Shear Flow Phenomena, Williamsburg, Virginia.
60. 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.
61. Li, J., 2005, Critical issues for predicting worker exposure in a wind tunnel. PhD Thesis.
62. Papula, L., Mathematik für Ingenieure und Naturwissenschaftler Band 3. (Braunschweig, Germany: Vieweg Verlag) 1997.
63. Shaffer, C., 2005, Morgantown, WV: West Virginia University, Master Thesis.
64. Huebsch, W.W., 2006, Two-dimensional simulation of dynamic surface roughness for aerodynamic flow control. Journal of Aircraft, 43(2), 353-362.
65. ERCOFTAC Classic Collection Database - http://cfd.me.umist.ac.uk/ercofac, accessed December 11, 2005.
66. Tafti, D., 2005, Private communication, High Performance Computational Fluid Thermal Science & Engineering Lab, Mechanical Engineering Department, Virginia Tech.
67. Viswanathan, A.K. and Tafti, D.K., 2004, Detached eddy simulation of turbulent flow and heat transfer in a ribbed duct. Proceedings of Heat Transfer/Fluids Engineering Summer Conference ASME, HT-FED04-56152, Charlotte, NC.
68. Hu, G., 2005, PhD Thesis (Morgantown, WV: West Virginia University).