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Height(m)
10
7.5
5
2.5
0
14
12
10
8
6
4
2
0
0
50
100
150
200
250
300
350
400
450
500
[m]
Fig. 6 Example 4(b) - Circular dam-break. h L
¼
10.0 m, h R
¼
0.0 m, Y bl
¼
0.0 m, a
¼
0, and
d
¼
0. 3D view and profile plot; t
¼
2s
influence of the source terms and the initial conditions in order to avoid nonphysical
solutions, and a local redefinition of the numerical scheme in order to accurately
overcome other nonphysical solutions with independence of the time step.
The model is expected to be fully compatible with debris flows with minor
adaptations, due to the similar structure of the systems. Flows presenting simple
quasi-Newtonian rheologies, like mud-flows, are also within the modeling capabil-
ities of the scheme.
Further work is expected in order to implement proper inlet and outlet boundary
conditions, as well as the development and implementation of an uncoupled mobile
bed solver, where a weak discontinuity associated with the bedload will be intro-
duced in the solution.
Acknowledgment This work has been partially supported by the FCT-funded project PTDC/
ECM/65442/2006.
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