Discriminant analysis for the prediction of sand mass distribution in an urban stormwater holding pond using simulated depth average flow velocity data
Abstract:The approach of this paper is to predict the sand mass distribution in an urban stormwater holding pond at the Stormwater Management And Road Tunnel (SMART) Control Centre, Malaysia, using simulated depth average floodwater velocity diverted into the holding during storm events. Discriminant analysis (DA) was applied to derive the classification function to spatially distinguish areas of relatively high and low sand mass compositions based on the simulated water velocity variations at corresponding locations o… Show more
“…Computational models were successfully used to simulate velocity fields in shallow reservoirs, either in 2D [18,[34][35][36][37][38][39] or in 3D [1,2,5,11,17,40,41]. Most of these models include a sediment transport module [1,2,5,11,17,33,35].…”
Shallow reservoirs are hydraulic structures widely used for water storage or as sedimentation tanks. Their design and sizing are intricate due to the complex flow fields developing in such structures, hence suitable indicators are needed to evaluate their hydraulic performance. Based on the outcomes of a depth-averaged computational model, we analysed the potential of the distribution function of the volume-averaged water age to unveil in a concise way valuable information on the flow field in rectangular shallow reservoirs. Ten different reservoir layouts were examined. In all cases, the shape of the computed distribution function reveals a remarkable amount of information on the flow field in the reservoirs. The distribution functions exhibit a sequence of steps, followed by an exponential decay, which may be related to fast and slow pathways travelled by water particles along their routes across the reservoirs. As such, the distribution function of the volume-averaged water age was found to provide valuable information for assessing the hydraulic performance of shallow reservoirs, while achieving an effective reduction in the problem dimensionality.
“…Computational models were successfully used to simulate velocity fields in shallow reservoirs, either in 2D [18,[34][35][36][37][38][39] or in 3D [1,2,5,11,17,40,41]. Most of these models include a sediment transport module [1,2,5,11,17,33,35].…”
Shallow reservoirs are hydraulic structures widely used for water storage or as sedimentation tanks. Their design and sizing are intricate due to the complex flow fields developing in such structures, hence suitable indicators are needed to evaluate their hydraulic performance. Based on the outcomes of a depth-averaged computational model, we analysed the potential of the distribution function of the volume-averaged water age to unveil in a concise way valuable information on the flow field in rectangular shallow reservoirs. Ten different reservoir layouts were examined. In all cases, the shape of the computed distribution function reveals a remarkable amount of information on the flow field in the reservoirs. The distribution functions exhibit a sequence of steps, followed by an exponential decay, which may be related to fast and slow pathways travelled by water particles along their routes across the reservoirs. As such, the distribution function of the volume-averaged water age was found to provide valuable information for assessing the hydraulic performance of shallow reservoirs, while achieving an effective reduction in the problem dimensionality.
“…Shallow reservoirs are common hydraulic structures. They are used as storm water retention or treatment ponds [1][2][3][4][5][6][7], sedimentation tanks [8][9][10] or service reservoirs [11]. They are also of use in aquaculture [12].…”
The age of a water particle in a shallow man-made reservoir is defined as the time elapsed since it entered it. Analyzing this diagnostic timescale provides valuable information for optimally sizing and operating such structures. Here, the constituent-oriented age and residence time theory (CART) is used to obtain not only the mean age, but also the water age distribution function at each location. The method is applied to 10 different shallow reservoirs of simple geometry (rectangular), in a steady-state framework. The results show that complex, multimodal water age distributions are found, implying that focusing solely on simple statistics (e.g., mean or median age) fails to reflect the complexity of the actual distribution of water age. The latter relates to the fast or slow pathways that water particles may take for traveling from the inlet to the outlet of the reservoirs.
“…Because storm flow contains a large volume of particles, e.g., sand, gravel, and mud, along with fine and coarse stones, as well as driftwood [3,4]. Shallow reservoirs have been widely used as ponds with the capability of restoring particles [5,6]. They can also be used as storage [7][8][9][10], sedimentation tanks [11,12], and service reservoirs in water supply systems [13].…”
Sediment and deposition are among the main problems in dam engineering and other related fields. Because of the numerous advantages of numerical modeling, effects of different geometries of reservoirs on the flow pattern and deposition of sediments are investigated using the finite volume based Flow-3D software package. In this study, three rectangular reservoirs with different dimensional ratios are simulated using the large eddy simulation (LES) turbulence model. To validate the numerical modeling, existing experimental data is used. Results indicate that Flow-3D can accurately simulate flow and sediment deposition in the reservoirs, and the numerical data are in reasonable agreement with the experimental results. Numerical efforts showed that the amount of deposition in reservoirs is significantly dependent on the geometry. Among the modeled reservoirs, the 6 × 4 m one has the best performance. Moreover, it can be said that changing the position of the flow’s inlet and outlet of the reservoir does not have a considerable effect on increasing its efficiency.
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