Simulation of evolution of the two cylinders plasma wake under the electric discharge influence

We consider a close wake behind a pair of cylinders at a Reynolds number of $\mathrm{Re}\sim$ 1000 defined by the cylinder diameter in the case of small aspect ratio of cylinders, $H/D\approx$ 3.5. The large-scale structure of such a wake represents a f low like two interacting Karman streets and it is modeled by two coupled Van der Pol oscillators. The mutual inf luence of closely located Karman streets is accounted for by nonlinear (of a general parabolic type) terms in the equations for oscillators. Moreover, the equations are generalized with allowance for explicit dependence of the oscillation frequency on its amplitude. Within the framework of this three-parametric model, five collective modes of the wake behind cylinders were found. In addition, there are the domains of model parameters where qualitatively different modes of intermittent wake exist.