Accession Number N20120012901
Title Parametric Study of Decay of Homogeneous Isotropic Turbulence Using Large Eddy Simulation.
Publication Date Aug 2012
Media Count 74p
Personal Author C. L. Rumsey P. Balakumar R. Rubinstein R. C. Swanson T. A. Zang
Abstract Numerical simulations of decaying homogeneous isotropic turbulence are performed with both low-order and high-order spatial discretization schemes. The turbulent Mach and Reynolds numbers for the simulations are 0.2 and 250, respectively. For the low-order schemes we use either second-order central or third-order upwind biased differencing. For higher order approximations we apply weighted essentially non-oscillatory (WENO) schemes, both with linear and nonlinear weights. There are two objectives in this preliminary effort to investigate possible schemes for large eddy simulation (LES). One is to explore the capability of a widely used low-order computational fluid dynamics (CFD) code to perform LES computations. The other is to determine the effect of higher order accuracy (fifth, seventh, and ninth order) achieved with high-order upwind biased WENO-based schemes. Turbulence statistics, such as kinetic energy, dissipation, and skewness, along with the energy spectra from simulations of the decaying turbulence problem are used to assess and compare the various numerical schemes. In addition, results from the best performing schemes are compared with those from a spectral scheme. The effects of grid density, ranging from 32 cubed to 192 cubed, on the computations are also examined. The fifth-order WENO-based scheme is found to be too dissipative, especially on the coarser grids. However, with the seventh-order and ninth-order WENO-based schemes we observe a significant improvement in accuracy relative to the lower order LES schemes, as revealed by the computed peak in the energy dissipation and by the energy spectrum.
Keywords Computational fluid dynamics
Direct numerical simulation
Energy spectra
Essentially non-oscillatory schemes
Homogeneous turbulence
Isotropic turbulence
Large eddy simulation
Mach number
Reynolds number

Source Agency National Aeronautics and Space Administration
NTIS Subject Category 51A - Aerodynamics
46B - Fluid Mechanics
Corporate Author National Aeronautics and Space Administration, Hampton, VA. Langley Research Center.
Document Type Technical report
Title Note N/A
NTIS Issue Number 1303
Contract Number N/A

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