4.2.3 Example: Sod shock tube

**Figure 31:** Sod shock tube: analytical (lines) and numerical (circles) solution. Velocity, pressure, density, internal energy.
$\textstyle \parbox{1.0cm}{\makebox[1.0cm]{}}$ $\includegraphics[width=12.0cm]{images/sod_pp.ps}$ $\textstyle \parbox{1.0cm}{\makebox[1.0cm]{}}$

The Sod shock tube (Fig. 31) is a Riemann problem with:

$\bgroup\color{DEFcolor}$\left( \rho, P, v_{} \right)_\mathrm{l} = \left( 1, 1, 0 \right)$\egroup$ , $\bgroup\color{DEFcolor}$\left( \rho, P, v_{} \right)_\mathrm{r} = \left( 1/8, 1/10, 0 \right)$\egroup$ .