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Turbulence statistics along gradient trajectories
Author(s) -
Peters N.
Publication year - 2012
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201100073
Subject(s) - scaling , scalar (mathematics) , dissipation , turbulence , trajectory , scalar field , vector field , mathematics , velocity gradient , physics , statistical physics , point (geometry) , length scale , mathematical analysis , classical mechanics , geometry , mechanics , astronomy , thermodynamics
By calculating gradient trajectories in direction of ascending and descending scalar gradients a local maximum and a local minimum point is reached. Dissipation elements may then be defined as the spatial region from which the same pair of maximum and minimum points in a scalar field is reached. By exploring the two‐point correlation of the scalar gradient along such trajectories it was found that for large elements the mean velocity increment scales linearly with the arclength distance along the trajectory. This is different from the classical Kolmogorov scaling and has consequences for the modeling of the length distribution of dissipation elements.