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The Energy Spectrum of Stochastic Eddies with Gamma Distribution |
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PP: 39-49 |
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Author(s) |
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Rukiye Kara,
Mine Çağlar,
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Abstract |
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| C¸ inlar velocity field which is based on eddies of rotational form is a promising subgrid velocity model for its use in large
eddy simulation (LES). This has been confirmed by data analysis of high frequency radar observations. The energy spectrum plays
a central role for representing the subgrid scales in filtered Navier-Stokes equations used in LES. We consider a truncated Gamma
distribution for eddy sizes to replicate the subgrid scale energy spectrum analytically. Kolmogorov proposed a form of the spectrum
that extends to the inertial scale. Lundgren vortex has a spectrum involving an exponential function and has been used in LES. C¸ inlar
velocity spectrum which is based on the truncated Gamma distribution indicates a good match with the spectrum estimated from real
data. The results of this study can be used for designing a method for representing the small scale structures in LES by modeling the
subgrid stress. |
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