A Numerical Study of a Converging Cylindrical Shock
A Numerical Study of a Converging Cylindrical Shock
Gary a Sod
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The contact discontinuity propagates toward the axis behind the con- verging shock cLnd is traversed by the reflected (outgoing) shock. In Figure 9 the density profile where the contact dis- continuity and the reflected shock wave have crossed. For a polytropic gas with the same values of 7, higher sound speeds correspond to higher densities (Courant and Friedrichs, 1948). The interaction of a diverging shock wave and a contact dis- continuity propagating toward the axis results in a reflected ...(converging) shock (represented by (S) ), a contact discontinuity propaLgating toward the axis (represented by (B) ), and a transmitted (diverging) shock (represented by (C) ) . Conclusions . This method reduces the problem of solving the one- dimensional equations of gas dynamics for a cylindrically or spherically symmetric flow to solving the one-dimensional equations of gas dynamics in Cartesian coordinates and a single system of ordinary differential equations, by using operator splitting. The equations of gas dynamics are solved using Glimm's method which keeps the shock waves and contact discontinuities perfectly sharp.
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