Figure 30:
Expansion shock (left) and  correct  rarefaction fan (right).

The Riemann problem in Fig. 30 should result in a
rarefaction fan
(right panel).
 Instead, the CIR scheme from Eq. (185) produces
a stationary
expansion shock
that violates the entropy condition (172).
 The solution by the CIR scheme is stationary because its flux
()
is the same everywhere, even if the velocity
()
changes sign.