Results 1 to 10 of about 290 (130)
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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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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Multilayer Saint-Venant equations over movable beds
Discrete and Continuous Dynamical Systems - Series B, 2011 We introduce a multilayer model to solve three-dimensional sediment transport by wind-driven shallow water flows. The proposed multilayer model avoids the expensive Navier-Stokes equations and captures stratified horizontal flow velocities. Forcing terms are included in the system to model momentum exchanges between the considered layers.
Jacques Sainte-Marie +2 more
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A new form of the Saint-Venant equations for variable topography [PDF]
Hydrology and Earth System Sciences, 2020 The solution stability of river models using the one-dimensional (1D) Saint-Venant equations can be easily undermined when source terms in the discrete equations do not satisfy the Lipschitz smoothness condition for partial differential equations ...
C.-W. Yu, B. R. Hodges, F. Liu
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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.
Jean-Michel Coron +2 more
exaly +3 more sources
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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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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Existence of Global Classical Solutions for the Saint-Venant Equations
Владикавказский математический журнал, 2022 Nowadays, investigations of the existence of global classical solutions for non linear evolution equations is a topic of active mathematical research. In this article, we are concerned with a classical system of shallow water equations which describes long surface waves in a fluid of variable depth.
Azib, R. +3 more
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