arxiv: chao-dyn/9306011 · v1 · submitted 1993-06-26 · chao-dyn · nlin.CD

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

Erik Aurell (Dept. of Mathematics , University of Stockholm , Sweden , Center for Parallel Computers , Royal Institute of Technology , Stockholm , Sweden) , Sergey N. Gurbatov (Radiophysical Department

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University of Nizhny Novgorod Russia Department of Mechanics Igor I. Wertgeim (Institute of Continuous Media Mechanics Russian Academy of Sciences Perm Russia)

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classification chao-dyn nlin.CD

keywords burgersinitiallarge-scalestructuresanalyticalcaseconditionsdata

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

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