Euler equations in 1d -- Woodward-Colella blast wave problem

The Woodward-Colella interacting blast wave problem consists of the one-dimensional Euler equations of compressible gas dynamics together with initial data containing two discontinuities in pressure that lead to strong shock waves that interact with one another.

This code is based on the discussion in Example 15.1 of Finite Volume Methods for Hyperbolic Problems by R. J. LeVeque. Figures 15.5 and 15.6 show the solution at time t = 0.038 as computed with various methods.

To better illustrate the AMR solution, in this example the solution on each grid is plotted as a piecewise constant function over each grid cell, rather than as a piecewise linear function connecting cell averages (as is usually done). This is specified in by using the new ClawPlotItem option plot_type = 1d_pwconst, introduced in Version 5.4.1.

After running this code and creating plots via "make .plots", you should be able to view the plots in _plots/_PlotIndex.html.