Results 101 to 110 of about 2,652,179 (149)

EXPONENTIAL STABILITY OF SAINT-VENANT EQUATIONS IN SUPERCRITICAL FLOW

Journal of Applied Analysis & Computation
Jingwen Wang, Dongxia Zhao
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Classification of the Conveyance Waves described by Saint Venant Equations

Transactions of The Japanese Society of Irrigation, Drainage and Reclamation Engineering, 1987
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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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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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Stabilization method for the Saint-Venant equations by boundary control

Transactions of the Institute of Measurement and Control, 2020
In this paper, we are interested in the stabilization of the flow modeled by the Saint-Venant equations. We have solved two problems in this study. The first, we have proved that the operator associated to the Saint-Venant system has a finite number of unstable eigenvalues. Consequently, the system is not exponentially stable on the space [Formula: see
Hassen Arfaoui
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Lattice Boltzmann method for the Saint–Venant equations

Journal of Hydrology, 2015
Summary The Saint–Venant equations represent the hydrodynamic principles of unsteady flows in open channel network through a set of non-linear partial differential equations. In this paper, a new lattice Boltzmann approach to solving the one-dimensional Saint–Venant equations (LABSVE) is developed, demonstrating the variation of discharge and ...
Yu Ding, Haifei Liu
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Numerical solution of Saint-Venant equations

AIP Conference Proceedings, 2021
In this paper, we have developed numerical calculation of stable solutions for the quasilinear hyperbolic system of Saint-Venant equations, which describes the motion of unsteady river fiows. Carrying out numerical experiments, we took as an example a rectangular channel with a constant coefficient of friction, the slope is not constant. When the slope
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Green’s Function of the Linearized de Saint-Venant Equations

Journal of Engineering Mechanics, 2006
We derive and discuss the Green’s function of the linearized de Saint-Venant equations (LSVEs) for shallow water waves in channels and rivers. The analysis offers a unified description of previous results on LSVEs regarding, in particular, the existence of three simple linear waves whose interplay determines all the evolution of the solution, the role ...
RIDOLFI, LUCA, PORPORATO A., REVELLI, Roberto   +2 more
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A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope

Automatica, 2019
International audienceThe exponential stability problem of the nonlinear Saint-Venant equations is addressed in this paper. We consider the general case where an arbitrary friction and space-varying slope are both included in the system, which lead to ...
Amaury Hayat, Peipei Shang
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Persistence of Roll Waves for the Saint Venant Equations

SIAM Journal on Mathematical Analysis, 2009
The purpose of the article is to study the linear and nonlinear “stability” of roll-waves that are periodic and discontinuous entropic travelling wave solutions of the Saint Venant equations. More precisely, we prove that the Cauchy problem with initial data close to a roll-wave and satisfying suitable compatibility conditions has a solution on a ...
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