As a test case for central and central-upwind and MUSTA schemes for conservation laws I developed this program. It solves the Riemann problem for Euler equations. Fortran source code is available for download here.
From top left to bottom right: Lax-Friedrichs scheme, Lax-Wendroff scheme, Kurganov-Tadmor scheme, Central-upwind scheme.
Supersonic shock tube problem computed with MUSTA scheme with piecewise linear reconstruction. Animation was made using gnuplot and ffmpeg and scripts packed with source code of my program.