A discussion of a numerical method for solving the compressible, hydrodynamic equations under the limitations of (1) two space dimensions, (2) the inviscid approximation, and (3) the adiabatic approximation. The method allows for the ocurrence of shocks, contact discontinuities, and interfaces. Under a proper prescription of initial and boundary ;conditions, it generates solutions including the above physical phenomena. It is of particular value in solving the problem of hypervelocity-impact and, with revision, the problems of cratering and ground shock from a nuclear surface burst.
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