Conformal invariance of weakly compressible two-dimensional turbulence
arXiv:2006.07182 · doi:10.1103/PhysRevE.102.023107
Abstract
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.
arXiv comment7 pages, 8 figures
References in corpus (11)
- Enzo: An Adaptive Mesh Refinement Code for Astrophysics
- SLE for theoretical physicists
- Inverse cascade in two-dimensional turbulence: deviations from Gaussianity
- Conformal invariance in two-dimensional turbulence
- Growing condensate in two-dimensional turbulence
- Conformal Field Theories of Stochastic Loewner Evolutions
- Inverse turbulent cascades and conformally invariant curves
- The Loewner equation: maps and shapes
- On The Three Point Velocity Correlation Functions in 2d Forced Turbulence
- How vortices and shocks provide for a flux loop in two-dimensional compressible turbulence
- Search for conformal invariance in compressible two-dimensional turbulence
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