Abstract
Converging shock waves in solids are numerically simulated using the random choice method (RCM), which has been developed for gases. Initially, a Riemann solver for fluidlike solids with the Gruneisen-type equation of state is constructed. It is incorporated into the RCM, and is applied to the cylindrical shock tube problem in solid copper with a driving pressure of 20 GPa. Spacial distributions of pressure, density and particle velocity show that the steepness at the shock front is maintained both in the converging and reflecting stages. Numerical results are compared with those of the finite difference method (FDM), showing the superiority of RCM over FDM. It is shown that the pressure on the shock front and the total energy contained in the central circular area in the reflecting stage are much larger than those in the focusing stage.
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