Analytical and numerical solution of Saint-Venant equations

Chalfen, Mieczysław; Niemiec, Andrzej

doi:10.1016/0022-1694(86)90002-8

Cited by 19 publications

(17 citation statements)

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“…The Kinematic wave (KW) model has been described as an accurate approximation of the Saint-Venant shallow water equations governing one-dimensional unsteady free surface flows (Hager and Hager, 1985;Chung et al, 1993;Chalfen and Niewmiec, 1996;Ren and Cheng, 2003). Therefore, for this study, we adapted the kinematic wave theory approach to route flood flows through the main channel (from the confluence area to the Sanmenxia Dam) and to evaluate the propagation of flood wave, flood wave travel times and reduction in peak discharge (attenuation) of flood waves along the channel.…”

Section: Analysis Of Flood Routing Processes-kinematic Wave Theorymentioning

confidence: 99%

“…There are two ways to solve the St. Vennant equations: (1) using characteristic discharge curves (t-x curve, which simply reveals the rainfall-flood relationship of discharge between the time-t and space-x planes) and (2) using kinematic wave theory (KW) (Beven, 1997;Keskin and Agiralioglu, 1997;Ren and Cheng, 2003;Eric et al, 2004). The Kinematic wave (KW) model has been described as an accurate approximation of the Saint-Venant shallow water equations governing one-dimensional unsteady free surface flows (Hager and Hager, 1985;Chung et al, 1993;Chalfen and Niewmiec, 1996;Ren and Cheng, 2003). Therefore, for this study, we adapted the kinematic wave theory approach to route flood flows through the main channel (from the confluence area to the Sanmenxia Dam) and to evaluate the propagation of flood wave, flood wave travel times and reduction in peak discharge (attenuation) of flood waves along the channel.…”

Section: Analysis Of Flood Routing Processes-kinematic Wave Theorymentioning

confidence: 99%

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Flood frequency and routing processes at a confluence of the middle Yellow River in China

Zhou

et al. 2007

River Research & Apps

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Floods cause environmental hazards and influence on socio-economic activities. In this study, we evaluated the historic flood frequency at a confluence in the middle Yellow River, China. A non-parametric, multivariate, empirical, orthogonal function matrix model, which consists of time correlation coefficients of flood discharge at different gauge stations and flood events was used for the analysis of flood frequency. The model addresses the characteristics of confluent floods such as frequency and the probability in multiple tributary rivers. Flood frequency analysis is often coupled with studies of hydrological routing processes that reduce the flood capacity of the rivers. Flood routing to the confluence were simulated using kinematic wave theory. Results of this flood frequency analysis showed that flooding frequency has intensified in the past 500 years, especially during the 19th century. Flooding in streams above the confluence was more frequent than in streams below the confluence. Over the last 2000 years, concurrent flooding in multiple tributary rivers accounted for 67.5% of the total flooding in the middle Yellow River. Simulation of flood routing processes shows that the decreased flooding capacity and elevated river bed of the shrunken main channel leads to an increased flood wave propagation time (24-52.3 h) in the study area after 1995. The model indicates that human activities, such as constructions of the Sanmenxia Dam, have changed flood routing boundary conditions and have contributed to the increased flood frequency at the confluence.

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Section: Analysis Of Flood Routing Processes-kinematic Wave Theorymentioning

confidence: 99%

Section: Analysis Of Flood Routing Processes-kinematic Wave Theorymentioning

confidence: 99%

Flood frequency and routing processes at a confluence of the middle Yellow River in China

Zhou

et al. 2007

River Research & Apps

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“…with n being the roughness coefficient (s/m 1/3 ) and R the hydraulic radius (m), defined by R = A/P, where P is the wetted perimeter (m). The implicit difference scheme [18] is adopted to discretize the Saint-Venant equations and the double sweep method can be used to solve the Equations [19].…”

Section: Simulation Modelmentioning

confidence: 99%

A Model Predictive Water-Level Difference Control Method for Automatic Control of Irrigation Canals

Kong

Lei

Wang

et al. 2019

Water

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In this paper, automatic control of the water level in an irrigation canal by automatic regulation of intermediate gates was studied. Previous scholars have proposed a water level difference control strategy that works to keep relative deviations in all pools the same for a particular situation where the operator does not have full control over the canal inflow, with the centralized linear quadratic regulator (LQR) control method used. While in practice, the deviation tolerance of pools may differ in some canals which limits the applicability of the control strategy. In this work, a weight coefficient was added to the deviation and the algorithm was improved to keep the relative deviations to certain proportions. The model predictive control (MPC) method was then used with this improved control strategy and was compared to the LQR control method using the same control strategy. The results showed that the improved strategy can keep the water level deviations in all pools to certain proportions, as is our objective. Also, under this difference control strategy, the MPC method greatly improved the control performance compared to the LQR control method.

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“…There are a large number of versions of the SVEs, based on the physical natures those are assumed upon (Chalfen and Niemiec, 1986;Chaudhry, 2008). The SVEs are a set of hyperbolic, non-linear PDEs, and the used version of the SVEs in this study are derived with the assumptions listed below (Chaudhry, 2008;Litrico and Fromion, 2009).…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Here, k s is the Strickler friction coefficient and P is the wetted perimeter. The analytical solution for these equations exists only for the simplified cases (Chalfen and Niemiec, 1986;Chung and Kang, 2004;Bulatov, 2014), therefore, these are generally solved by numerical methods. Two different numerical methods are considered in this study, the orthogonal collocation method and the Kurganov and Petrova (KP) Scheme, which are described in the following sections 2.1 and 2.2.…”

Section: Mathematical Modelmentioning

confidence: 99%

Proceedings of the 58th Conference on Simulation and Modelling (SIMS 58) Reykjavik, Iceland, September 25th – 27th, 2017

2017

Linköping Electronic Conference Proceedings

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Welcome to the 58th Conference on Simulation Modelling and Optimization in Reykjavik, Iceland. Reykjavik is the northernmost and one of the smallest capital cities in the world. Although small for a capital, it is the country's largest and most populated city and with the urban area population of around 200000, it is the home of the vast majority of Iceland's people. The city is pioneer in the use of geothermal energy to provide low-cost heating and electricity. Iceland's energy consumption per capita is among the highest in the world, and the proportion of this consumption provided by renewable energy sources exceeds most other countries. The electricity is produced almost entirely from renewable energy sources, hydroelectric (70%) and geothermal (30%) and simulation, modelling and optimization are the key elements to utilize the renewable energy more efficiently.The SIMS 58 will cover broad aspects of simulation, modelling and optimization and be a technical forum for participants to further their knowledge by being exposed to diverse topics, and exchange opinions and ideas both from industry and academia in a variety of topics related to simulation, modelling and optimization. The ambition is to bring the field of applied modelling and simulation techniques of energy systems to the general public as a contributing technology for efficient and sustainable energy systems. This year, the conference program contains two keynote speakers, 53 research papers and presentations organized into 14 sessions and an excursion to a geothermal park.The focus of the conference is on simulation, modelling and optimization in a variety of applied contexts including topics such as geothermal, hydro and bio energy, oil production, automotive industry and methodology and technologies for simulation, modelling and optimization.A key component of the SIMS conference is the opportunity to socialize and make new connections. The conference offers several possibilities such as a conference dinner at Bryggjan Brugghús (Bistro and Brewery), an excursion to the Reykjanes GEOPARK and last but not least some coffee and lunch breaks.SIMS stands for the Scandinavia Simulation Society with members from five Nordic countries, Denmark, Finland, Norway, Sweden and Iceland. The goal of SIMS is to develop further the science and practice of modelling and simulation in all application areas and to be a forum for information interchange between professionals and non-professionals in the Nordic countries.Thanks to all participants, authors, keynote speakers and presenters for their contribution to this conference. I also want to acknowledge the support I have received from the conference board, program committee and the SIMS board. The support from the National energy authority, Iceland is gratefully acknowledged.Welcome, I hope you will enjoy the conference and the interactions with your colleagues and other presenter here.Magnus Excursion:The conference excursion will be on Wednesday, September 27 th , at 10:00. Resource Park in the Reykjanes pen...

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Analytical and numerical solution of Saint-Venant equations

Cited by 19 publications

References 1 publication

Flood frequency and routing processes at a confluence of the middle Yellow River in China

Flood frequency and routing processes at a confluence of the middle Yellow River in China

A Model Predictive Water-Level Difference Control Method for Automatic Control of Irrigation Canals

Proceedings of the 58th Conference on Simulation and Modelling (SIMS 58) Reykjavik, Iceland, September 25th – 27th, 2017

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