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Self-Preservation of Large-Scale Structures in Burgers' Turbulence

Erik Aurell·Sergey N. Gurbatov·Igor I. Wertgeim
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Abstract

We investigate the stability of large-scale structures in Burgers' equation under the perturbation of high wave-number noise in the initial conditions. Analytical estimates are obtained for random initial data with spatial spectral density k^n, n < 1. Numerical investigations are performed for the case n=0, using a parallel implementation of the Fast Legendre Transform.

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Erik Aurell, Sergey N. Gurbatov, Igor I. Wertgeim. 1993-06-26. Self-Preservation of Large-Scale Structures in Burgers' Turbulence. https://doi.org/10.1016/0375-9601(93)90062-5

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