"Spatial modeling of breaking effects in nonlinear plasma oscillations"
Milyutin S.V., Frolov A.A., Chizhonkov E.V.

Previously, the authors numerically and analytically studied the effect of off-axis breaking of relativistic and nonrelativistic cylindrical axisymmetric nonlinear plasma oscillations in the framework of a one-dimensional hydrodynamic model. In this paper, the explicit method of second order accuracy in Eulerian variables is implemented for a two-dimensional simulation of this effect on computers with distributed memory. The numerical results obtained on the "Chebyshev" MSU supercomputer complex using a hybrid parallel code are discussed. These results can be compared with the results obtained in the framework of the one-dimensional model.

Keywords: plasma oscillations, breaking effect, finite difference method, supercomputing simulation

Milyutin S.V., e-mail: svmilyutin@gmail.com – Rock Flow Dynamics Company; shosse Shchelkovskoe 9; Moscow, 105122, Russia;
Frolov A.A., e-mail: frolov@ihed.ras.ru – Joint Institute for High Temperatures, Russian Academy of Sciences; ulitsa Izhorskaya 13, Moscow, 125412, Russia;
Chizhonkov E.V., e-mail: chizhonk@mech.math.msu.su – Moscow State University, Faculty of Mechanics and Mathematics; Leninskiye Gory 1, Moscow, 119899, Russia