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A lattice Boltzmann model for the open channel flows described by the Saint-Venant equations [PDF]

open access: yesRoyal 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
doaj   +4 more sources

Heterogeneous Parallel Implementation of Large-Scale Numerical Simulation of Saint-Venant Equations

open access: yesApplied 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
doaj   +3 more sources

Friction factor evaluation in tidal rivers and estuaries [PDF]

open access: yesMethodsX, 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
doaj   +2 more sources

Multilayer Saint-Venant equations over movable beds

open access: yesDiscrete 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
exaly   +4 more sources

Time fractional Saint Venant equations reveal the physical basis of hydrograph retardation through model comparison and field data [PDF]

open access: yesScientific Reports
River 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
doaj   +2 more sources

A new form of the Saint-Venant equations for variable topography [PDF]

open access: yesHydrology 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
doaj   +2 more sources

On Lyapunov stability of linearised Saint-Venant equations for a sloping channel

open access: yesNetworks 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

open access: yesFluids, 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
doaj   +1 more source

A shock-capturing meshless method for solving the one-dimensional Saint-Venant equations on a highly variable topography

open access: yesJournal 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
doaj   +1 more source

SAINT VENANT COMPATIBILITY EQUATIONS IN CURVILINEAR COORDINATES [PDF]

open access: yesAnalysis 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
openaire   +3 more sources

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