Numerical Simulation of an Intense Shock Wave Implosion In an Axisymmetric Compartment

A shock wave implosion in an axisymmetric cavity filled in with a perfect gas and confined by plane and spherical surfaces which touch one another at the symmetry axis is analyzed numerically. The numerical approach is based on a locally adaptive unstructured grid technique and high-order accurate Godunov-type non-oscillatory scheme for the Euler equations. The increase in gas density and pressure as the converging shock wave approaches the axis is shown to be more intense than that by cylindrical or spherical shock implosion. A good agreement with analytical predictions and the experiment on hand is achieved.