Three-dimensional supersonic homogeneous turbulence: A numerical study

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Abstract

A turbulent homogeneous perfect gas with no forcing is computed using the piecewise-parabolic method on a uniform grid of 2563 zones. The initial rms Mach number is one. The main results are (i) persistence of a quasisupersonic phase with strong density contrasts over several shock formation times; (ii) late appearance of a post-supersonic self-similarly decaying regime in which the total velocity spectrum varies with wave number as k-1; and (iii) both shock curvature and velocity gradients are important mechanisms of vorticity production in the first half of the supersonic phase.

Original languageEnglish (US)
Pages (from-to)3156-3159
Number of pages4
JournalPhysical Review Letters
Volume68
Issue number21
DOIs
StatePublished - Jan 1 1992

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