1. Article from K. P. Zybin and V. A. Sirota Enrico Dammers & Christel Sanders Course 3T220 Chaos

2.  Goal  Euler vs. lagrangian  Background  Theory from earlier articles  Structure functions  Bridge relations  Results  Conclusions 2

3.  Showing eulerian and lagrangian structure formulas are obeying scaling relations  Determine the scaling constants analytical without dimensional analyses 3

4. LAGRANGIANEULER 4

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6.  Turbulent flow,  Assumptions:  Stationary  Isotropic  Eddies, which are characterized by velocity scales and time scales(turnover time)  Model: Vortex Filaments  Thin bended tubes with vorticity, ω.  Assumption:  Straight Tubes  Regions with high vorticity make the main contribution to structure functions ω 6

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18.  Compare with numerical simulation 18

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