Transition to dilatation-dominated compressible turbulence
Fluid Dynamics
2026-02-03 v1
Abstract
The kinetic energy dissipation rate is of central importance for the small-scale statistics in turbulent flows. Here, we determine the transition to the dilatation-dominated regime of 3d fully compressible, homogeneous, isotropic turbulence by moments of energy dissipation and its components up to order 4 for turbulent Mach numbers . Our high-resolution numerical simulations show a crossover from incompressible to -independent, Burgers turbulence-like moment scaling with respect to Reynolds number . This confirms the statistical dominance of shocks for .
Cite
@article{arxiv.2602.02299,
title = {Transition to dilatation-dominated compressible turbulence},
author = {Shadab Alam and Christoph Federrath and Jörg Schumacher},
journal= {arXiv preprint arXiv:2602.02299},
year = {2026}
}
Comments
11 pages (6 pages in the main text, 5 pages in the supplementary material), 6 figures (4 in the main text and 2 in the supplementary material)