presented in Sect. 3.12, Chap. 3). Based on Chandrasekhar observations,
Friedrichs [14] has presented a modified approach that permits one to obtain
explicit analytical solutions for a number of unsteady gas flow problems that fall
within the weak or moderate intensities in which the approximations apply.
Kantrowitz [15] has also considered the shock decay process. In the report by
Friedrichs [14] an approximate method is presented for the treatment of a decaying
Fig. 4.51 Particle velocity and pressure as a function of position for various times corresponding to
short impulsive piston motion. For the numerical procedure the following parameters apply;
u p ¼ 0.8, γ ¼ 1.4, κ ¼ 1.5, Δx ¼ 0.4 and Δt ¼ 0.1 (see text)
4.8 Numerical Examples of Plane Shocks
193
Friedrichs [14] has presented a modified approach that permits one to obtain
explicit analytical solutions for a number of unsteady gas flow problems that fall
within the weak or moderate intensities in which the approximations apply.
Kantrowitz [15] has also considered the shock decay process. In the report by
Friedrichs [14] an approximate method is presented for the treatment of a decaying
Fig. 4.51 Particle velocity and pressure as a function of position for various times corresponding to
short impulsive piston motion. For the numerical procedure the following parameters apply;
u p ¼ 0.8, γ ¼ 1.4, κ ¼ 1.5, Δx ¼ 0.4 and Δt ¼ 0.1 (see text)
4.8 Numerical Examples of Plane Shocks
193