Advances in Water Resources and Hydraulic Engineering 2009
DOI: 10.1007/978-3-540-89465-0_304
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Physical And Numerical Investigation of the Skimming Flow Over a Stepped Spillway

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Cited by 11 publications
(7 citation statements)
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“…A detailed analysis of the above contributions for stepped spillways is presented in Table 1, revealing the following features/issues: (i) The comparisons between numerical and experimental results in those papers have been mostly of qualitative nature; Issues with the measurements in the aerated region [86] Cheng et al [30,31] (ii) whereas Chen et al [29] (see also Yasuda et al [86]), Cheng et al [30,31] and Arantes [5] solved the flows of water and air altogether (which was defined as Partial Volume-of-Fluid (VoF) method in Bombardelli et al [16]), Tabbara et al [79] employed a numerical strategy based on re-meshing each time step. In turn, Carvalho and Amador [23] used a purported VoF method, but they did not report comparisons of numerical results with data of the location of the free surface; (iii) some of the simulations have been developed using unstructured grids with good resolution near the walls but with a lower resolution near the free surface; (iv) only the papers by Cheng et al [30,31] and Carvalho and Amador [23] include discussions on the distribution of turbulence statistics in the steps through contours of the turbulent kinetic energy (TKE) obtained numerically; (v) experimental data obtained in some papers to validate the numerical simulations corresponded to relatively small facilities with potential significant scale effects; (vi) to the best of our knowledge, very few numerical analyses of the non-aerated flow region which present and discuss comprehensive comparisons of computational results with data have been published in reputed peer-reviewed literature. Thus, more work is needed to understand completely the flow.…”
Section: Introductionmentioning
confidence: 97%
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“…A detailed analysis of the above contributions for stepped spillways is presented in Table 1, revealing the following features/issues: (i) The comparisons between numerical and experimental results in those papers have been mostly of qualitative nature; Issues with the measurements in the aerated region [86] Cheng et al [30,31] (ii) whereas Chen et al [29] (see also Yasuda et al [86]), Cheng et al [30,31] and Arantes [5] solved the flows of water and air altogether (which was defined as Partial Volume-of-Fluid (VoF) method in Bombardelli et al [16]), Tabbara et al [79] employed a numerical strategy based on re-meshing each time step. In turn, Carvalho and Amador [23] used a purported VoF method, but they did not report comparisons of numerical results with data of the location of the free surface; (iii) some of the simulations have been developed using unstructured grids with good resolution near the walls but with a lower resolution near the free surface; (iv) only the papers by Cheng et al [30,31] and Carvalho and Amador [23] include discussions on the distribution of turbulence statistics in the steps through contours of the turbulent kinetic energy (TKE) obtained numerically; (v) experimental data obtained in some papers to validate the numerical simulations corresponded to relatively small facilities with potential significant scale effects; (vi) to the best of our knowledge, very few numerical analyses of the non-aerated flow region which present and discuss comprehensive comparisons of computational results with data have been published in reputed peer-reviewed literature. Thus, more work is needed to understand completely the flow.…”
Section: Introductionmentioning
confidence: 97%
“…Empirical models have been developed for predicting the main air-water flow properties along the chute by Hager and Boes [45], Matos [57], Chanson [25], Boes and Hager [9,10], Meireles [65], Renna [71] and Ohtsu et al [67]. In spite of this considerable number of studies, and to the best of our knowledge, only Amador [2], Amador et al [3], Meireles et al [65], Gonzalez and Chanson [43], Carvalho and Amador [23] and Meireles and Matos [64] have focused on the flow properties of the non-aerated flow region of stepped spillways.…”
Section: Introductionmentioning
confidence: 99%
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“…The quantity of studies dealing with the non-aerated part of the flow is limited (Amador, 2005;Amador et al, 2006;Bombardelli et al, 2011;Carvalho & Amador, 2009;Hunt & Kadavy, 2010;Meireles & Matos, 2009;Toro et al, 2016;Zhang & Chanson, 2016a, 2016b. This fact is to a certain extent justified, as on most prototype applications self-aeration would occur in a considerable portion of the chute for the design discharge.…”
Section: Introductionmentioning
confidence: 99%
“…A revised plan was formulated and the appropriate amended design was examined using numerical modelling. Carvalho and Amador (2009) [7] also simulated the flow in the nonaerated region by using the FLOW-3D with the FDM. Their numerical results were compared with the physical data and found a good agreement in the non-aerated region.…”
Section: Methodsmentioning
confidence: 99%