2018
DOI: 10.48550/arxiv.1805.04257
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Subcritical laminar-turbulence transition with wide domains in simple two-dimensional Navier-Stokes flow without walls

Abstract: We have confirmed numerically that a subcritical laminar-turbulence transition that belongs to directed percolation (DP) universality class occurs in a purely two-dimensional (2D) simple Navier-Stokes (NS) flow without any walls. The flow is called (extended) Kolmogorov flow which is governed by 2D NS equation in a doubly periodic box with a linear drag and a finite flow rate in the direction in which Galilean invariance is broken. We examine the mechanism of DP class transition focusing on the role of the add… Show more

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