The intersection of a longitudinal vortex by a normal shock is studied with a numerical solution of the Euler and Navier-Stokes equations for time-dependent, three-dimensional, laminar flow. The study is concerned with the destruction of the vortex core, usually referred to as vortex breakdown or bursting, by letting the shock intersect the vortex normal to its axis. Results are presented for a Mach number Ma∞ = 1.6. The calculations were performed on a Cartesian mesh with approximately 2 millions grid points. The computations show noticeable differences between the two solutions, and viscous forces become important in the burst part of the vortex. Visualization studies clearly reveal the time-dependent, three-dimensional nature of the flow after breakdown.