Figures supporting the publication "On the simultaneous cascades of energy, helicity, and enstrophy in incompressible homogeneous turbulence"

Abstract

MATLAB figure files with interactive data points for the work presented in "On the simultaneous cascades of energy, helicity, and enstrophy in incompressible homogeneous turbulence" in the Journal of Fluid Mechanics: 10.1017/jfm.2022.912 Access to these files requires the use of a valid MATLAB software package. The files were created in MATLAB version 2019a. The figures are as follows: Fig. 1 Premultiplied PDFs of the dissipation of energy (a), helicity (b), and enstrophy (c) Fig. 2 Normalised structure functions of energy (a), helicity (b), and enstrophy (c) Fig. 3 Normalised non-linear flux structure functions of energy (a), helicity (b,c) and enstrophy (d) Fig. 4 Correlation coefficients of energy at three separations for experimental (a-c) and numerical (d-f) data Fig. 5 Correlation coefficients of helicity at three separations for experimental (a-c) and numerical (d-f) data Fig. 6 Alignment of unit vectors of velocity (a) and vorticity (b) with pressure gradient increments. Correlations of pressure transport with non-linear transfer are shown in (c). Fig. 7 Correlation coefficients of enstrophy at three separations for numerical (a-c) data Fig. 8 Correlation coefficients between energy and enstrophy at three separations for numerical (a-c) data Fig. 9 Joint PDFs of triple product with non-linear energy sum (a,c,e) and non-linear energy transport (b,d,f) Fig. 10 PDF characterising the alignment between the two-point velocity sum and cross-product of velocity and vorticity increments (a,b) and extrapolation (c) Fig. 11 Budget contributions of energy, helicity, and enstrophy for experimental (a,c,e) and numerical (b,d,f) data

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