Conformal invariance of weakly compressible two-dimensional turbulence.

Phys Rev E

Dipartimento di Fisica and INFN, Università di Torino, via P. Giuria 1, 10125 Torino, Italy.

Published: August 2020

We study conformal invariance of vorticity clusters in weakly compressible two-dimensional turbulence at low Mach numbers. On the basis of very high resolution direct numerical simulation we demonstrate the scaling invariance of the inverse cascade with scaling close to Kolmogorov prediction. In this range of scales, the statistics of zero-vorticity isolines are found to be compatible with those of critical percolation, thus generalizing the results obtained in incompressible Navier-Stokes turbulence.

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http://dx.doi.org/10.1103/PhysRevE.102.023107DOI Listing

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