Numerical scaling analysis of the small-scale structure in turbulence

Details Numerical scaling analysis of the small-scale structure in turbulence Numerical scaling analysis of the small-scale structure in turbulence

2005-09-01

arxiv.org/abs/math/0509027v1

Mathematics

Numerical Analysis

18 pages, 8 figures

Scientific paper

We show how to use numerical methods within the framework of successive scaling to analyse the microstructure of turbulence, in particular to find inertial range exponents and structure functions. The methods are first calibrated on the Burgers problem and are then applied to the 3D Euler equations. Known properties of low order structure functions appear with a relatively small computational outlay; however, more sensitive properties cannot yet be resolved with this approach well enough to settle ongoing controversies.

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