Abstract
An analysis of the near-wall behavior of the proper orthogonal decomposition (POD) eigenfunctions derived from direct numerical simulation (DNS) of channel flow is performed. Consistent with previous studies, a low order multi-mode reconstruction of the kinetic energy and Reynolds shear stress suffices. A similar reconstruction of the isotropic dissipation rate is shown to be insufficient, however. An analysis is performed of the multi-mode composition of the dissipation rate in the near-wall region, and it is shown that a significant number of higher order modes are required to achieve the correct asymptotic consistency in the near-wall region. The reconstructed turbulent moments are used to determine the eddy viscosity damping required in the near-wall region, and this is compared to the damping function extracted directly from the DNS results. It is noted that with a Reynolds number similarity of the low order eigenfunctions, the range of applicability of the results extends beyond the Reynolds number range of the DNS data.
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© 1992 Springer-Verlag New York, Inc.
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Gatski, T.B., Glauser, M.N. (1992). Proper Orthogonal Decomposition Based Turbulence Modeling. In: Hussaini, M.Y., Kumar, A., Streett, C.L. (eds) Instability, Transition, and Turbulence. ICASE NASA LaRC Series. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2956-8_48
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DOI: https://doi.org/10.1007/978-1-4612-2956-8_48
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