
131Chapter seven: 2D shallow water ow in channels with horizontal beds
0 5 10 15 20 25
0.8
1
1.2
1.4
1.6
1.8
2
2.2
2.4
2.6
HLLC
HLL
Roe
Exact
Figure 7.8 Numerical and analytic solutions along the dashed line for the shock
wave test.
0 5 10 15 20 25 30
0
2
4
6
8
10
12
14
16
18
1.01
1.01
1.01
1.
01
1.1
1.
1
1.1
1.1
1.2
1.
2
1.2
1.
2
1.
3
1.
3
1.
3
1.
3
1.
4
1.
4
1.4
1.
4
1.
5
1.
5
1.
5
1.
5
1.
6
1.6
1.6
1.
6
1.
7
1.7
1.
8
1.
8
1.
9
1.
9
2
2
2.1
2.1
2.2
2.2
2.3
2.
3
2.4
2.4
2.5
2.
5
2.6
2.
6
2.
6
2.6
Figure 7.7 Computed water depth contours for the shock wave test.