  We perform 2D numerical simulations of a magnetorotational explosion of a
rotating magnetized gas cloud. We found that amplification of a toroidal
magnetic field due to the differential rotation leads to a transformation of
the part of the rotational energy of the cloud to the radial kinetic energy.
Simulations have been made for 3 initial values of $\xi$ (the relation of
magnetic energy to the gravitational energy of the cloud): $\xi
=10^{-2},10^{-4},10^{-6}$. Part of the matter - $\sim 7%$ of the mass of the
cloud ($\sim 3.3%$ of the final gravitational energy of the cloud) - gets
radial kinetic energy which is larger than its potential energy and can be
thrown away to the infinity. It carries about 30% of the initial angular
momentum of the cloud. This effect is important for angular momentum loss in
the processes of stellar formation, and for the magnetorotational mechanism of
explosion suggested for supernovae. Simulations have been made on the basis of
the Lagrangian 2D numerical implicit scheme on a triangular grid with grid
reconstruction.
