Numerical modeling of collapse in ideal incompressible hydrodynamics

The appearance of a singularity in the velocity-field vorticity ω at an isolated point irrespective of the symmetry of initial distribution is demonstrated numerically. The behavior of maximal vorticity |ω| near the collapse point is well approximated by the dependence (t0−t)−1, where t0 is the collapse time. This is consistent with the interpretation of collapse as the breaking of vortex lines.