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Statistics of pressure and of pressure-velocity correlations in isotropic turbulence

L. Biferale·P. Gualtieri·F. Toschi
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Abstract

Some pressure and pressure-velocity correlation in a direct numerical simulations of a three-dimensional turbulent flow at moderate Reynolds numbers have been analyzed. We have identified a set of pressure-velocity correlations which posseses a good scaling behaviour. Such a class of pressure-velocity correlations are determined by looking at the energy-balance across any sub-volume of the flow. According to our analysis, pressure scaling is determined by the dimensional assumption that pressure behaves as a ``velocity squared'', unless finite-Reynolds effects are overwhelming. The SO(3) decompositions of pressure structure functions has also been applied in order to investigate anisotropic effects on the pressure scaling.

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L. Biferale, P. Gualtieri, F. Toschi. 2000-01-17. Statistics of pressure and of pressure-velocity correlations in isotropic turbulence. https://doi.org/10.1063/1.870431

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