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

Mode intermittence in a wake from two cylinders

“…The result of the analysis is that the wake from two cylinders may exist in the form of five different global modes [13]. They are: an asymmetric mode consisted of two different Karman streets, another asymmetric mode with one street fully damped, and three symmetric modes of equal Karman streets which are sin-phase, anti-phase, and variable angle synchronized (in accord to general consideration [14]).…”

“…In some domains of the model parameters some wake modes intermit. In all there are six different intermittence regimes within the framework of our model [13]. Configuration of all modes and its stability analysis may be done straightforward analytically except for the case of asymmetric mode r AS  with unequal oscillation amplitudes of oscillators-streets r   .…”

“…Accordingly to equation (11) only low values of variable 0.5 D  may serve as solution in the case of 0   , than configuration and stability analysis for the mode r AS  may be performed by semi-analytical way [13]. The set of equations (9  12) may have in principle a four-branch solution as angle P may settle in four quadrants accordingly to equation (9).…”

“…The stability domain for branch (13) is presented in figure 3 for intermediate value of parameter 0.125   (half-analytical evaluation for the case of 0   , [13]). Numerical calculations of model system of "exact" equations (4)  (6) with sufficiently low values of parameter  and with initial conditions belonging to this domain on figure 3 demonstrate stable focuses or stable cycles.…”