
74 Modeling shallow water ows using the DG method
slope limiter. The location of the hydraulic jump is predicted accurately
and the ow rate is well conserved except at the jump. The Roe ux per-
forms better than the HLL ux within the jump. Overall, the numerical
results are satisfactory.
4.5.5 Flow over irregular bed
In this test, transcritical ow in a channel with an irregular, friction-
less bed is simulated. The bed elevation is given in Table4.2 (Goutal and
Maurel, 1997). The initial conditions consist of a water surface elevation
of 16 m with zero velocity. The ow rate at the inow section is set to
50 m
2
/s and the water surface a