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• W2277794949 abstract "The modern view regarding self-similar scaling in ‘fully developed turbulence’ is that it is ‘broken’. However, rescaling symmetry is not broken substantially for the structure functions of order two and three. These do seem to be closely related through a rescaling symmetry. Moreover, many results derive from the ideal example (the turbulent ‘spherical cow’ so beloved of physicists) of homogeneous, isotropic, decaying turbulence. This chapter deals with deducing some of these results in the context of the Lie rescaling group. It examines general, stationary, ‘fully developed’ turbulence, and also examines a structural model of 2D turbulence based on symmetry that combines scale invariance with rotational and translational invariance. The chapter illustrates an application of the combined Poincaré/Rescaling (P/R) group in this context. It demonstrates the generation of an ensemble of structures in 2D flow, by allowing the P/R group to act on a reference flow pattern." @default.
• W2277794949 created "2016-06-24" @default.
• W2277794949 creator A5075179732 @default.
• W2277794949 date "2015-05-11" @default.
• W2277794949 modified "2023-10-17" @default.
• W2277794949 title "Scaling in Hydrodynamical Turbulence" @default.
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• W2277794949 doi "https://doi.org/10.1002/9783527687343.ch8" @default.
• W2277794949 hasPublicationYear "2015" @default.
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