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Physics of Fluids / Volume 24 / Issue 1 / LETTERS

Phys. Fluids 24, 011702 (2012); http://dx.doi.org/10.1063/1.3676783 (5 pages)

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

Haecheon Choi and Parviz Moin

Center for Turbulence Research, Stanford University, Stanford, California 94305, USA

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(Received 30 October 2011; accepted 23 December 2011; published online 6 January 2012)

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 ReLx, but a wall-resolving LES requires ÑReLx13/7, where Lx is the flat-plate length in the streamwise direction. On the other hand, direct numerical simulation, resolving the Kolmogorov length scale, requires ÑReLx37/14.

© 2012 American Institute of Physics

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KEYWORDS and PACS

Keywords

boundary layer turbulence, flow simulation, numerical analysis

PACS

  • 47.27.nb

    Boundary layer turbulence

  • 02.60.Cb

    Numerical simulation; solution of equations

  • 47.11.-j

    Computational methods in fluid dynamics

  • 47.27.ep

    Large-eddy simulations

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.3676783

PUBLICATION DATA

ISSN

1070-6631 (print)  
1089-7666 (online)

Publisher

$abstract.society.value is a Member of CrossRef American Institute of Physics

For access to fully linked references, you need to log in.
    P. A. Monkewitz, K. A. Chauhan, and H. M. Nagib, “Self-consistent high-Reynolds-number asymptotics for zero-pressure-gradient turbulent boundary layers,” Phys. Fluids 19, 115101 (2007)PHFLE6000019000011115101000001.

    F. Nicoud, J. S. Baggett, P. Moin, and W. Cabot, “Large eddy simulation wall-modeling based on suboptimal control theory and linear stochastic estimation,” Phys. Fluids 13, 2968 (2001)PHFLE6000013000010002968000001.

    R. Örlü and P. Schlatter, “On the fluctuating wall-shear stress in zero pressure-gradient turbulent boundary layer flows,” Phys. Fluids 23, 021704 (2011)PHFLE6000023000002021704000001.


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