Analysis of numerical errors in large eddy simulation using statistical closure theory

Journal of Computational Physics

Volumn 222, Issue 1, 2007, Pages 194-216

  Park, Noma ^a   Mahesh, Krishnan ^a  

^a University of Minnesota   (United States)

Author keywords

EDQNM theory; Large eddy simulation; Numerical error

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; ERROR ANALYSIS; KINETIC ENERGY; KINETICS; NAVIER STOKES EQUATIONS; NUMERICAL MODELS;

ALIASING ERROR; CLOSURE THEORY; DYNAMIC ERROR; EDQNM THEORY; FINITE DIFFERENCING; ISOTROPIC TURBULENCE; LARGE-EDDY SIMULATIONS; NUMERICAL ERRORS; SPATIAL DISCRETIZATIONS; TRUNCATION ERRORS;

LARGE EDDY SIMULATION;

EID: 33846808954     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.07.016     Document Type: Article

References (31)

1. Meneveau C., and Katz J. Scale-invariance and turbulence models for large-eddy simulation. Annu. Rev. Fluid Mech. 32 (2000) 1
2. Moin P. Advances in large eddy simulation methodology for complex flows. Int. J. Heat Fluid Flow 23 (2002) 710
3. Sagaut P. Large Eddy Simulation for Incompressible Flows. second ed. (2002), Springer-Verlag
4. P. Beudan, P. Moin, Numerical experiments on the flow past a circular cylinder at a sub-critical Reynolds number, Report No. TF-62, Dept. Mech. Eng., Stanford University, 1994.
5. Mittal R., and Moin P. Suitability of upwind-biased finite-difference schemes for large-eddy simulation of turbulent flows. AIAA J. 35 (1997) 1415
6. Ghosal S. An analysis of numerical errors in large-eddy simulations of turbulence. J. Comput. Phys. 125 (1996) 187
7. Kravchenko G., and Moin P. On the effect of numerical errors in large-eddy simulations of turbulent flows. J. Comput. Phys. 131 (1997) 310
8. Lund T.S. The use of explicit filters in large eddy simulation. Comput. Math. Appl. 46 (2003) 603
9. Fedoiun I., Lardjane N., and Gokalp I. Revisiting numerical errors in direct and large eddy simulations of turbulence: physical and spectral space analysis. J. Comput. Phys. 174 (2001) 816
10. Gullbrand J., and Chow F.K. The effect of numerical errors, turbulence models in LES of turbulent channel flow, with and without explicit filtering. J. Fluid Mech. 495 (2003) 323
11. Chow F.K., and Moin P. A further study of numerical errors in large-eddy simulations. J. Comput. Phys. 184 (2003) 366
12. Park N., Yoo J.Y., and Choi H. Discretization errors in large eddy simulation: on the suitability of centered and upwind-biased compact difference schemes. J. Comput. Phys. 198 (2004) 580
13. Monin A., and Yaglom A. Statistical Fluid Mechanics vol. 2 (1979), MIT Press, Cambridge, MA
14. Akselvoll K., and Moin P. Large-eddy simulation of turbulent confined coannular jets. J. Fluid Mech. 315 (1996) 387
15. Vreman B., Geurts B., and Kuerten H. Large eddy simulation of the turbulent mixing layer. J. Fluid Mech. 339 (1997) 357
16. Mahesh K., Constantinescu G., and Moin P. A numerical method for large eddy simulation in complex geometries. J. Comput. Phys. 197 (2004) 215
17. Kraichnan R.H. Convergents to turbulence functions. J. Fluid Mech. 41 (1970) 189
18. Lesieur M. Turbulence in Fluids (1987), Kluwer Academics, Dordrecht
19. Leslie D.C. Developments in the Theory of Turbulence (1973), Oxford University Press, Oxford
20. Orszag S.A. Analytical theories of turbulence. J. Fluid Mech. 41 (1970) 363
21. Leith C.E. Atmospheric predictability and two-dimensional turbulence. J. Atmos. Sci. 28 (1971) 145
22. Moin P. Fundamentals of Engineering Numerical Analysis (2001), Cambridge University Press
23. Comte-Bellot G., and Corrsin S. Simple Eulerian time correlation of full- and narrow-band velocity signals in grid-generated, 'isotropic' turbulence. J. Fluid Mech. 48 (1971) 273
24. Germano M., Piomelli U., Moin P., and Cabot W. A dynamic subgrid-scale eddy viscosity model. Phys. Fluids A 3 (1991) 1760
25. Akhavan R., Ansari A., Kang S., and Mangiavachi N. Subgrid-scale interactions in a numerically simulated planar turbulent jet and implications for modelling. J. Fluid Mech. 408 (2000) 83
26. Park N., Yoo J.Y., and Choi H. Toward improved consistency of a priori tests with a posteriori tests in large eddy simulation. Phys. Fluids 17 (2005) 015103
27. Chollet J.P. Two-point closure used for a sub-grid scale model in large eddy simulations. In: Bradbury L.J.S., et al. (Ed). Turbulent Shear Flows vol. 4 (1985), Springer 66
28. Lilly D. A proposed modification of the Germano subgrid scale closure method. Phys. Fluids A 4 (1992) 633
29. Morinishi Y., Lund T.S., Vasilyev O.V., and Moin P. Fully conservative higher order finite difference schemes for incompressible flow. J. Comput. Phys. 143 (1998) 90
30. Ducros F., Laporte F., Souleres T., Guinot V., Moinat P., and Caruelle B. High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: application to compressible flows. J. Comput. Phys. 161 (2000) 114
31. Visbal M.R., and Gaitonde D.V. High-order accurate methods for complex unsteady subsonic flows. AIAA J. 37 10 (1999) 1231