Extend the CIR scheme to get a
- For most Riemann problems (Fig. 26)
the CIR scheme (185)
actually produces initially the exact result.
- Only for a transonic rarefaction wave
(as in the last example in Fig. 30)
Solve a Riemann problem
at every cell boundary and derive the corresponding flux over the boundary.
- For Burgers' equation the flux through the stagnation point ()
in a transonic rarefaction wave is
The additional branch is an
to the CIR scheme.