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Session Cb - Turbulence Simulation.
ORAL session, Sunday, November 23
302, Moscone Center

[Cb.10] Temporal Eigenfunctions of Vorticity in Decaying Isotropic Turbulence

Haralambos Marmanis, G. Em. Karniadakis (Brown University)

A new approach in the theory of turbulence insinuates that the vorticity and the Lamb vector evince a wave-like behaviour. The objective of this work is to investigate the existence of these waves in turbulence. We start by assigning a special linear operator to every wavenumber in Fourier space. We subsequently analyze, by exact calculations, the eigenfunctions of this linear operator and show that they are capable to describe the decay of the individual Fourier modes of the vorticity field. This is verified by projecting the results of DNS onto these eigenfunctions, and comparing the relative magnitudes of the projection coefficients. For a specific wavenumber, only a couple of eigenfunctions are sufficient to represent the result obtained by DNS.

Part C of program listing