A lattice Boltzmann model for the open channel flows described by the Saint-Venant equations [PDF]
Royal Society Open Science, 2019 A new lattice Boltzmann method to simulate open channel flows with complex geometry described by a conservative form of Saint-Venant equations is developed.
Zhonghua Yang, Fengpeng Bai, Ke Xiang
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Friction factor evaluation in tidal rivers and estuaries [PDF]
MethodsX, 2022 The Saint-Venant equations are usually used for simulation of unsteady flow in various hydraulic environments including tidal estuaries and adjacent river sections called tidal rivers.
Evgeniya Panchenko, Andrei Alabyan
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Time fractional Saint Venant equations reveal the physical basis of hydrograph retardation through model comparison and field data [PDF]
Scientific ReportsRiver hydrodynamics are influenced by numerous factors that traditional models often fail to fully capture. Simulating complex hydrographs can benefit from parsimonious upscaling models, such as fractional derivative equations, that reduce the need to ...
Hui Wei +5 more
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On Lyapunov stability of linearised Saint-Venant equations for a sloping channel
Networks and Heterogeneous Media, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Georges Bastin, Jean-Michel Coron
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Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays
Fluids, 2021 Wave propagation and run-up in U-shaped channel bays are studied here in the framework of the quasi-1D Saint-Venant equations. Our approach is numerical, using the momentum conserving staggered-grid (MCS) scheme, as a consistent approximation of the ...
Sri R. Pudjaprasetya +2 more
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Heterogeneous Parallel Implementation of Large-Scale Numerical Simulation of Saint-Venant Equations
Applied Sciences, 2022 Large-scale floods are one of the major events that impact the national economy and people’s livelihood every year during the flood season. Predicting the factors of flood evolution is a worldwide problem.
Yongmeng Qi +9 more
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Journal of Hydroinformatics, 2023 The Saint-Venant equations are numerically solved to simulate free surface flows in one dimension. A Riemann solver is needed to compute the numerical flux for capturing shocks and flow discontinuities occurring in flow situations such as hydraulic jump,
D. Satyaprasad +2 more
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SAINT VENANT COMPATIBILITY EQUATIONS IN CURVILINEAR COORDINATES [PDF]
Analysis and Applications, 2007 We first establish that the linearized strains in curvilinear coordinates associated with a given displacement field necessarily satisfy compatibility conditions that constitute the "Saint Venant equations in curvilinear coordinates". We then show that these equations are also sufficient, in the following sense: If a symmetric matrix field defined ...
Ciarlet, Philippe G. +2 more
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KINETIC-INDUCED MOMENT SYSTEMS FOR THE SAINT-VENANT EQUATIONS
TASK Quarterly, 2013 Based on the relation between kinetic Boltzmann-like transport equations and nonlinear hyperbolic conservation laws, we derive kinetic-induced moment systems for the spatially one-dimensional shallow water equations (the Saint-Venant equations).
DIANA CRISTINA GIL MONTOYA +1 more
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Ensemble modeling of stochastic unsteady open-channel flow in terms of its time–space evolutionary probability distribution – Part 1: theoretical development [PDF]
Hydrology and Earth System Sciences, 2018 The Saint-Venant equations are commonly used as the governing equations to solve for modeling the spatially varied unsteady flow in open channels. The presence of uncertainties in the channel or flow parameters renders these equations stochastic, thus
A. Dib, M. L. Kavvas
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