Results 11 to 20 of about 2,652,488 (196)
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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Nonlinearity tests of the Saint Venant equations
52nd IEEE Conference on Decision and Control, 2013 The 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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FLASH FLOODS SIMULATION USING SAINT VENANT EQUATIONS [PDF]
International Conference on Aerospace Sciences and Aviation Technology, 2007 Flash floods prediction is considered one of the important environmental issues worldwide. In order to predict when and where the flood wave will invade and attack our lives, and provide solutions to deal with this problem it is essential to develop a reliable model that simulates accurately this physical phenomena.
Elhanafy, Hossam, Copeland, Graham J.M.
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Segmentation of a river using the Saint Venant equations
2010 IEEE International Conference on Control Applications, 2010 The 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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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 uniqueness of a classical solution of the system of non-linear 1-D Saint Venant equations [PDF]
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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KINETIC-INDUCED MOMENT SYSTEMS FOR THE SAINT-VENANT EQUATIONS [PDF]
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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Wave attenuation in partially filled unsteady pipe flow [PDF]
, 1989 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.Much research activity is carried out to reduce water consumption for domestic purposes.
Abd El-Baky Mohamed, Nagwa +1 more
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Johnson-Segalman – Saint-Venant equations for viscoelastic shallow flows in the elastic limit [PDF]
, 2016 International audienceThe shallow-water equations of Saint-Venant, often used to model the long-wave dynamics of free-surface flows driven by inertia and hydrostatic pressure, can be generalized to account for the elongational rheology of non-Newtonian ...
Boyaval, Sébastien
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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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