Grid-point requirements for large eddy simulation: Chapman’s estimates revisited

Resolution requirements for large eddy simulation (LES), estimated by Chapman [AIAA J. 17, 1293 (1979)], are modified using accurate formulae for high Reynolds number boundary layer flow. The new estimates indicate that the number of grid points (N) required for wall-modeled LES is proportional to R...

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Bibliographic Details
Published in:Physics of fluids (1994) 2012-01, Vol.24 (1), p.011702-011702-5
Main Authors: Choi, Haecheon, Moin, Parviz
Format: Article
Language:English
Subjects:
Boundary layer and shear turbulence
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
High-reynolds-number turbulence
Physics
Turbulence simulation and modeling
Turbulent flows, convection, and heat transfer
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Summary:Resolution requirements for large eddy simulation (LES), estimated by Chapman [AIAA J. 17, 1293 (1979)], are modified using accurate formulae for high Reynolds number boundary layer flow. The new estimates indicate that the number of grid points (N) required for wall-modeled LES is proportional to Re L x , but a wall-resolving LES requires N ̃ Re L x 13 / 7 , where L x is the flat-plate length in the streamwise direction. On the other hand, direct numerical simulation, resolving the Kolmogorov length scale, requires N ̃ Re L x 37 / 14 .
ISSN:1070-6631
1089-7666
DOI:10.1063/1.3676783