Results 11 to 20 of about 573 (178)
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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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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Guan'gai paishui xuebao, 2021 【Background】 In order to alleviate the shortage of water resources, China has established many water transfer projects. Due to its long water transfer distance, large water delivery volume, and numerous water passing buildings along the line, the control
WANG Haohua +2 more
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Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable
Journal of Function Spaces, 2021 Saint-Venant equations describe the flow below a pressure surface in a fluid. We aim to generalize this class of equations using fractional calculus of a complex variable.
Najla M. Alarifi, Rabha W. Ibrahim
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Tecnura, 2015 The importance of the behavior of the Saint Venant equations and its implications for flow analysis applied to models of hydraulic transit is the main theme of this research, where the basis of the applications and uses of these mathematical models is ...
Gloria Estefany Amarís Castro +2 more
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InPrime, 2021 Floods, which cause a lot of damage, are a natural phenomenon that often occurs during the rainy season. Flood occurs because the discharge entering the channel exceeds the channel capacity.
Bambang Agus Sulistyono +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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Multilayer Saint-Venant equations over movable beds
Discrete & Continuous Dynamical Systems - 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.
Audusse, Emmanuel +3 more
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On uniqueness of a classical solution of the system of non-linear 1-D Saint Venant equations
Vietnam Journal of Mechanics, 1999 In this paper the theorem of uniqueness of a classical solution of the system of non-linear 1-D Saint Venant equations is proved. This uniqueness theorem is setup for the system of non-linear 1-D Saint Venant equations in canonical form under respective
Hoang Van Lai +2 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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