Algebraic Solution of the Horton-Izzard Turbulent Overland Flow Model of the Rising Hydrograph

1977 ◽  
Vol 8 (4) ◽  
pp. 249-256 ◽  
Author(s):  
Mohammad Akram Gill
Keyword(s):  
Differential Equation ◽  
Turbulent Flow ◽  
Flow Model ◽  
Overland Flow ◽  
Flow Equation ◽  
Algebraic Solution ◽  
Mixed Flow ◽  
Overland Flow Model

In the differential equation of the overland turbulent flow which was first postulated by Horton, Eq.(6), the value of c equals 5/3. For this value of c, the flow equation could not be integrated algebraically. Horton solved the equation for c = 2 and believed that his solution was valid for mixed flow. The flow equation with c = 5/3 is solved algebraically herein. It is shown elsewhere (Gill 1976) that the flow equation can indeed be integrated for any rational value of c.

scholarly journals Modelling Pluvial Flooding in Urban Areas Coupling the Models Iber and SWMM

Water ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 2647
Author(s):  
Esteban Sañudo ◽  
Luis Cea ◽  
Jerónimo Puertas
Keyword(s):  
Urban Areas ◽  
Flow Model ◽  
Overland Flow ◽  
Drainage System ◽  
Urban Drainage ◽  
Dynamic Link Library ◽  
Storm Water Management Model ◽  
Urban Street ◽  
Sewer Network ◽  
Overland Flow Model

Dual urban drainage models allow users to simulate pluvial urban flooding by analysing the interaction between the sewer network (minor drainage system) and the overland flow (major drainage system). This work presents a free distribution dual drainage model linking the models Iber and Storm Water Management Model (SWMM), which are a 2D overland flow model and a 1D sewer network model, respectively. The linking methodology consists in a step by step calling process from Iber to a Dynamic-link Library (DLL) that contains the functions in which the SWMM code is split. The work involves the validation of the model in a simplified urban street, in a full-scale urban drainage physical model and in a real urban settlement. The three study cases have been carefully chosen to show and validate the main capabilities of the model. Therefore, the model is developed as a tool that considers the main hydrological and hydraulic processes during a rainfall event in an urban basin, allowing the user to plan, evaluate and design new or existing urban drainage systems in a realistic way.

scholarly journals Automated calibration of a two-dimensional overland flow model by estimating Manning's roughness coefficient using genetic algorithm

2017 ◽  
Vol 20 (2) ◽  
pp. 440-456
Author(s):  
J. Drisya ◽  
D. Sathish Kumar
Keyword(s):  
Genetic Algorithm ◽  
Flow Model ◽  
Overland Flow ◽  
Fitness Function ◽  
Roughness Coefficient ◽  
Model Parameters ◽  
Automatic Data ◽  
Automated Calibration ◽  
Manning’S Roughness Coefficient ◽  
Overland Flow Model

Abstract Calibration is an important phase in the hydrological modelling process. In this study, an automated calibration framework is developed for estimating Manning's roughness coefficient. The calibration process is formulated as an optimization problem and solved using a genetic algorithm (GA). A heuristic search procedure using GA is developed by including runoff simulation process and evaluating the fitness function by comparing the experimental results. The model is calibrated and validated using datasets of Watershed Experimentation System. A loosely coupled architecture is followed with an interface program to enable automatic data transfer between overland flow model and GA. Single objective GA optimization with minimizing percentage bias, root mean square error and maximizing Nash–Sutcliffe efficiency is integrated with the model scheme. Trade-offs are observed between the different objectives and no single set of the parameter is able to optimize all objectives simultaneously. Hence, multi-objective GA using pooled and balanced aggregated function statistic are used along with the model. The results indicate that the solutions on the Pareto-front are equally good with respect to one objective, but may not be suitable regarding other objectives. The present technique can be applied to calibrate the hydrological model parameters.

A Modified Hortonian Overland Flow Model Based on Laboratory Experiments

2006 ◽  
Vol 20 (2) ◽  
pp. 181-192 ◽  
Author(s):  
Anzhi Wang ◽  
Changjie Jin ◽  
Jianmei Liu ◽  
Tiefan Pei
Keyword(s):  
Laboratory Experiments ◽  
Flow Model ◽  
Overland Flow ◽  
Model Based ◽  
Overland Flow Model

Comparative analysis of two infiltration models for application in a physically based overland flow model

2015 ◽  
Vol 74 (2) ◽  
pp. 1579-1587 ◽  
Author(s):  
Kristine Joy B. Mallari ◽  
Anya Catherine C. Arguelles ◽  
Hwansuk Kim ◽  
Hafzullah Aksoy ◽  
M. Levent Kavvas ◽  
...  
Keyword(s):  
Comparative Analysis ◽  
Flow Model ◽  
Overland Flow ◽  
Infiltration Models ◽  
Physically Based ◽  
Overland Flow Model

A kinematic overland flow model to determine depression storage tilled surfaces

1989 ◽  
Vol 15 (1-2) ◽  
pp. 65-78 ◽  
Author(s):  
J.L.M.P. de Lima ◽  
L.A.A.J. Eppink ◽  
W.H. Van der Molen
Keyword(s):  
Flow Model ◽  
Overland Flow ◽  
Overland Flow Model

Urban stormwater inundation simulation based on SWMM and diffusive overland-flow model

2017 ◽  
Vol 76 (12) ◽  
pp. 3392-3403 ◽  
Author(s):  
Wenjie Chen ◽  
Guoru Huang ◽  
Han Zhang
Keyword(s):  
Environmental Protection Agency ◽  
Flow Model ◽  
Overland Flow ◽  
The United States ◽  
Urban Stormwater ◽  
Rapid Urbanization ◽  
Storm Water Management Model ◽  
Inundation Simulation ◽  
Property Losses ◽  
Overland Flow Model

Abstract With rapid urbanization, inundation-induced property losses have become more and more severe. Urban inundation modeling is an effective way to reduce these losses. This paper introduces a simplified urban stormwater inundation simulation model based on the United States Environmental Protection Agency Storm Water Management Model (SWMM) and a geographic information system (GIS)-based diffusive overland-flow model. SWMM is applied for computation of flows in storm sewer systems and flooding flows at junctions, while the GIS-based diffusive overland-flow model simulates surface runoff and inundation. One observed rainfall scenario on Haidian Island, Hainan Province, China was chosen to calibrate the model and the other two were used for validation. Comparisons of the model results with field-surveyed data and InfoWorks ICM (Integrated Catchment Modeling) modeled results indicated the inundation model in this paper can provide inundation extents and reasonable inundation depths even in a large study area.

scholarly journals A distributed converging overland flow model: 2. Effect of infiltration

1976 ◽  
Vol 12 (5) ◽  
pp. 897-901 ◽  
Author(s):  
Bernard Sherman ◽  
Vijay P. Singh
Keyword(s):  
Flow Model ◽  
Overland Flow ◽  
Overland Flow Model
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