SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop
Abstract
:1. Introduction
2. Experimental Set Up
3. SPH Numerical Method
- (1)
- (2)
- A SPH version of the standard k-ε turbulence model by [70], in which and the two equations for the turbulent kinetic energy k and for the turbulent dissipation rate ε are:
4. Numerical Tests and Results
Analysis of Stable vs. Oscillating Flow Behaviour
5. Conclusions
Author Contributions
Conflicts of Interest
References
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TEST | Run no. (Mossa 2002) | y1 (cm) | yt (cm) | V1 (m/s) | Vt (m/s) | F1 | y1/yt | Re | s (cm) | s/y1 | Jump Type |
---|---|---|---|---|---|---|---|---|---|---|---|
T1 | B32 | 3.5 | 16.63 | 1.93 | 0.41 | 3.3 | 4.75 | 6.10 × 104 | 3.2 | 0.9 | B-wave |
T2 | B37 | 3.7 | 17.65 | 1.81 | 0.38 | 3 | 4.76 | 5.80 × 104 | 3.2 | 0.9 | A-wave |
T3 | B38 | 3.48 | 1818 | 1.87 | 0.36 | 3.2 | 5.22 | 5.90 × 104 | 3.2 | 0.9 | A-wave |
T4 | B39 | 3.14 | 17.97 | 2.09 | 0.36 | 3.8 | 5.72 | 5.70 × 104 | 3.2 | 0.9 | A-jump |
T5 | B30 | 3.19 | 18.2 | 2.04 | 0.36 | 3.6 | 5.71 | 5.90 × 104 | 3.2 | 0.9 | A-jump |
T6 | B28 | 3.78 | 16.1 | 1.79 | 0.42 | 2.8 | 4.26 | 6.10 × 104 | 3.2 | 0.9 | B-jump (Max.plung.condit.) |
T7 | B30 | 3.39 | 16.78 | 2.02 | 0.41 | 3.5 | 4.95 | 6.00 × 104 | 3.2 | 0.9 | B-jump (Max.plung.condit.) |
TEST | Turbulence Model | η/Σ | NP |
---|---|---|---|
T1a | mixing-length model | 1.5 | 3000 |
T1b | k-ε turbulence model | 1.5 | 3000 |
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De Padova, D.; Mossa, M.; Sibilla, S. SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop. Water 2017, 9, 790. https://doi.org/10.3390/w9100790
De Padova D, Mossa M, Sibilla S. SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop. Water. 2017; 9(10):790. https://doi.org/10.3390/w9100790
Chicago/Turabian StyleDe Padova, Diana, Michele Mossa, and Stefano Sibilla. 2017. "SPH Modelling of Hydraulic Jump Oscillations at an Abrupt Drop" Water 9, no. 10: 790. https://doi.org/10.3390/w9100790