Results 1 to 10 of about 7,658 (165)
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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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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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 +2 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 Zhonghua Yang, Fengpeng Bai, Ke Xiang
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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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PI controllers for the general Saint-Venant equations
Journal de l’École polytechnique — Mathématiques, 2022 We study the exponential stability in the H 2 norm of the nonlinear Saint-Venant (or shallow water) equations with arbitrary friction and slope using a single proportional ...
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Multilayer Saint-Venant equations over movable beds
Discrete and 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 the use of Saint Venant equations to simulate the spreading of a granular mass [PDF]
Journal of Geophysical Research: Solid Earth, 2005 Cliff collapse is an active geomorphological process acting at the surface of the Earth and telluric planets. Recent laboratory studies have investigated the collapse of an initially cylindrical granular mass along a rough horizontal plane for different initial aspect ratios a = Hi/Ri, where Hi and Ri are the initial height and radius, respectively.
Mangeney-Castelnau, A. +5 more
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A multi-model approach to Saint-Venant equations: A stability study by LMIs [PDF]
International Journal of Applied Mathematics and Computer Science, 2012 Abstract This paper deals with the stability study of the nonlinear Saint-Venant Partial Differential Equation (PDE). The proposed approach is based on the multi-model concept which takes into account some Linear Time Invariant (LTI) models defined around a set of operating points.
dos Santos, Valérie +2 more
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Saint Venants equations for dense-snow avalanche modelling
Ingeniería del Agua, 2020 La creciente preocupación por los riesgos naturales, como las avalanchas de nieve, ha propiciado el desarrollo de modelos numéricos ad hoc como una herramienta de soporte para su análisis y evaluación. Los modelos existentes para simulación de aludes se basan en la conservación de la masa y de la cantidad de movimiento, que son unas ecuaciones ...
Sanz Ramos, Marcos +3 more
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