Numerical modeling of collapse in ideal incompressible hydrodynamics

The appearance of a singularity in the velocity-field vorticity ${\boldsymbol \omega}$ at an isolated point irrespective of the symmetry of initial distribution is demonstrated numerically. The behavior of maximal vorticity $|{\boldsymbol\omega}|$ near the collapse point is well approximated by the dependence $(t_0-t)^{-1}$ , where $t_0$ is the collapse time. This is consistent with the interpretation of collapse as the breaking of vortex lines.