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Title: Developing a mathematical framework in preliminary designing of detention rockfill dams for flood peak reduction
Authors: Riahi-Madvar, H
Dehghani, M
Akib, S
Shamshirband, S
Chau, Kw 
Issue Date: 2019
Source: Engineering applications of computational fluid mechanics, 1 Jan. 2019, v. 13, no. 1, p. 1119-1129
Abstract: Hydraulic designing of rockfill detention dam is based on the treatment of nondarcian and non-linear turbulence flow in coarse porous media. Previous literature focused only on the regular outlet ponds, and there is a shortcoming in the design methodology for detention rockfill dams. So, this paper develops a simple novel design framework by combining the governing equation of non-linear and non-darcian flow through rockfill dams with the hydrologic flood routing in reservoirs and hydraulic rules of storage dams. An innovative mathematical framework developed for preliminary designing of detention rockfill dams. The effects of type and size of rock fill materials, the shape of reservoir, shape, and intensity of inflow hydrograph on the peak of outflow, the volume of a stored flood, coefficients of flood peak and storage are investigated by parametric study in 36000 simulations. A simple design equation for preliminary designing of detention rockfill dams is provided and its applications in two design examples are presented. Its results indicate that the developed design equation (with R-2?=?0.996, MAE?=?0.008, and RMSE?=?0.0041) is superior to the previous equations and can be used in preliminary designing of detention rockfill dams for flood peak reduction.
Keywords: Flood control
Detention rockfill dam
Preliminary designing
Mathematical model
non-darcian flow
Publisher: Hong Kong Polytechnic University, Department of Civil and Structural Engineering
Journal: Engineering applications of computational fluid mechanics 
ISSN: 1994-2060
EISSN: 1997-003X
DOI: 10.1080/19942060.2019.1663449
Rights: © 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.This is an Open Access article distributed under the terms of the Creative Commons Attribution License (, which permits unrestricted use,distribution, and reproduction in any medium, provided the original work is properly cited.
The following publication Hossien Riahi-Madvar, Majid Dehghani, Shatirah Akib, ShahaboddinShamshirband & Kwok-wing Chau (2019) Developing a mathematical framework in preliminarydesigning of detention rockfill dams for flood peak reduction, Engineering Applications ofComputational Fluid Mechanics, 13:1, 1119-1129 is available at
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