Hi Edouard
You can easily start with the simple dambreak example (v6pr31/examples/dambreak) and compare the results of you modell with the analytical solution. Another example that might be interesting is the malpasset example which is often used to show the capabilites of numerical schemes.
I think that the best way to start are simple 1d/2d dam break models to check the numerical schemes.
If you use the HLLC Solver you should fix USTAR in
USTAR = 0.5D0*(UL+UR)-0.25D0*(HR-HL)*(AL+AR)/(HL+HR)
to
USTAR = 0.5D0*(UL+UR) - (HR-HL)*(AL+AR)/(HL+HR)
Best regards
Leo