Geoscience Reference
In-Depth Information
Height(m)
10
8
6
4
2
1
10
9
8
7
6
5
4
3
2
1
0
100
200
0
300
400
500
[m]
Fig. 5 Example 4(a) - Circular dam-break. 3D view and profile plot.
h
L
¼
10.0 m,
h
R
¼
1.0 m,
Y
bl
¼
0.0 m, a
¼
0.1, and d
¼
0;
t ¼
2s
Example 4, in Figs.
5
and
6
is a 2D dam-break case, a circular explosion. In case
(a), the bed is wet, and a shock wave propagating in the bed layer can be seen; in (b),
a dry bed and a wetting front is presented.
6 Conclusions
An approximate Riemann solver adapted to the structure of a system describing a
highly unsteady discontinuous flow over complex geometries has been presented,
where a new wave associated to the source terms is added.
Two modifications to the original Roe scheme are used: A reformulation of the
stability condition that generalizes the classical CFL condition by including the
