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A Discrete Boltzmann Model for Transcritical Flows Governed by the Saint‐Venant Equations
Based on the Hermite expansion approach, a type of discrete Boltzmann model is devised to simulate the open channel flows governed by the Saint‐Venant equations. In this model, a four‐discrete‐velocity set is adopted, and a local equilibrium distribution
Yong Peng +3 more
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Optimal flow model for plot irrigation.
The primarily linear relationship was verified between the length of a plot and optimal irrigation flow, which is the flow needed to obtain the maximum value of the uniformity coefficient, resulting in high values for application efficiency and the ...
Heber Saucedo +3 more
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Numerical methods for hyperbolic equations of Saint-Venant type.
The purpose of the dissertation is to contribute to the numerical study of hyperbolic conservation laws with source terms, motivated by the application to the Saint-Venant equations for shallow waters. The first part deals with usual questions in the analysis of numerical approximations for scalar conservation laws.
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EXPONENTIAL STABILITY OF SAINT-VENANT EQUATIONS IN SUPERCRITICAL FLOW
Jingwen Wang, Dongxia Zhao
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Classification of the Conveyance Waves described by Saint Venant Equations
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Stabilization method for the Saint-Venant equations by boundary control
Transactions of the Institute of Measurement and Control, 2020In this paper, we are interested in the stabilization of the flow modeled by the Saint-Venant equations. We have solved two problems in this study. The first, we have proved that the operator associated to the Saint-Venant system has a finite number of unstable eigenvalues. Consequently, the system is not exponentially stable on the space [Formula: see
Hassen Arfaoui
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Lattice Boltzmann method for the Saint–Venant equations
Journal of Hydrology, 2015Summary The Saint–Venant equations represent the hydrodynamic principles of unsteady flows in open channel network through a set of non-linear partial differential equations. In this paper, a new lattice Boltzmann approach to solving the one-dimensional Saint–Venant equations (LABSVE) is developed, demonstrating the variation of discharge and ...
Yu Ding, Haifei Liu
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Nonlinearity tests of the Saint Venant equations
52nd IEEE Conference on Decision and Control, 2013The Saint Venant equations are two nonlinear partial differential equations (PDE) which are used to describe the dynamics of one-dimensional flow in open water channels. Despite being nonlinear PDEs, the Saint Venant equations seem to exhibit linear behaviour in response to sinusoidal input signals.
Mathias Foo, Erik Weyer
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Numerical solution of Saint-Venant equations
AIP Conference Proceedings, 2021In this paper, we have developed numerical calculation of stable solutions for the quasilinear hyperbolic system of Saint-Venant equations, which describes the motion of unsteady river fiows. Carrying out numerical experiments, we took as an example a rectangular channel with a constant coefficient of friction, the slope is not constant. When the slope
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Segmentation of a river using the Saint Venant equations
2010 IEEE International Conference on Control Applications, 2010The Saint Venant equations are widely used for modelling river systems for scenario simulations, flow prediction, control design, etc. In order to represent a river using the Saint Venant equations, the river is usually divided into segments which are stretches where the river geometry and the friction are assumed constant. This lead to the question of
Mathias Foo, Nadia Bedjaoui, Erik Weyer
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