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(Step 2) starts with a fluid body right before its impact, which has exactly the
shape of the ice block as predefined by the glaciologist (in the pre-simulation the
sliding fluid body disintegrates somewhat which decreases the impact
momentum). The comparison of the results from Step 1 to outcomes from [12]
showed minor differences from -9.0 to +5.0% (mean -0.9 %) for the mean impact
velocity. Nevertheless, velocities from the pre-simulation (Step 1) are spatially
distributed with lower magnitudes at the edges of the impacting fluid body, which
decreases the impact momentum. The resulting overtopping wave heights would
be in average 22% and the overflow discharges 33% lower. Therefore and to
assure a conservative approach, the initial velocity magnitude of the impacting
fluid bodies was set constant for the entire fluid body in the main simulations
based on the theoretical approach according to Körner [12]. As indicated in Step
3, additional to the 6 base cases, 17 simulations with different ice block volumes
maintaining their locations and different reservoir levels were executed to cover
the most important conditions and detect the minimal water levels in the reservoir
which would prevent overtopping.
3.3. SIMULATION RESULTS
The simulation results show that in five of the six base cases (-a marked
red) overtopping occurs when the operational water level is at the actual altitude
of 4290.88 m a.s.l.
Table 1
Results of 2D-Simulation
Resultáts de la Simulacion 2D
Overtopping heights between 1 and 19 m were obtained based on impact
heights between 300 and 1’600 m and volumes between 18’000 and 526’500 m3.
Only in one case (B16-a) no overtopping occurred due to the low volume and
impact height. To prevent overtopping at the dam, the water level in the lagoon
has to be reduced between 2 and 40 m. Correspondingly, the actual water
volume of the lagoon (29 Mio.m3) is reduced down to 5 Mio.m3, which represents
a reduction of 82 % and would mean to abandon the operation of the lagoon for
Case a b c d e a b c d a b c d a b c a b c d a b c
Block
Volume 50,000 40,000 18,000 [m3]
Altitude [m asl]
Impact
Height 500 545 500 520 500 829 835 829 832 1,099 1,149 1,099 1,129 1,629 1,631 1,629 1,021 1,066 1,021 1,041 297 297 305 [m]
Reduction
of FSL - 45 - 20 - - 6 - 3 - 50 - 30 - 2 - - 45 - 20 - - 8 [m]
Wave
Heigth 14 - 6 - - 3 - 1 - 19 3 11 - 1 - - 12 - 9 - - 4 - [m]
Reservoir
Volume 29 7 29 17 29 29 25 29 27 29 5 29 13 29 28 29 29 7 29 17 29 29 24 [Mio. m3]
4,588
BLOCK B-1 BLOCK B-3 BLOCK B-6 BLOCK B-9 BLOCK B-12 BLOCK B-16
4,791 5,120 5,390 5,920 5,312
67,000 333,000 200,000
80,000472,500
220,000 270,000 150,000 526,500 250,000
587
Book of Full Papers
Symposium Hydro Engineering
- Title
- Book of Full Papers
- Subtitle
- Symposium Hydro Engineering
- Author
- Gerald Zenz
- Publisher
- Verlag der Technischen Universität Graz
- Location
- Graz
- Date
- 2018
- Language
- English
- License
- CC BY-NC-ND 4.0
- ISBN
- 978-3-85125-620-8
- Size
- 20.9 x 29.6 cm
- Pages
- 2724
- Keywords
- Hydro, Engineering, Climate Changes
- Categories
- International
- Naturwissenschaften Physik
- Technik