Abstract
The converging cylindrical and spherical shock waves have been numerically simulated. The flow is created by rupturing the diaphragm. The behaviour of the solution in the focussing stage is closely investigated and compared with the other results. An invariant difference scheme of Rusanov is used to follow the propagation of the shock wave. The study includes not only the moderate initial pressure ratio but also pressure ratios amounting up to thousands. The same scheme has been used from the initial stage of the focussing stage near the axis.
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