Results 131 to 140 of about 573 (180)

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.
Hassen Arfaoui
exaly   +2 more sources

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 ...
Haifei Liu, Yu Ding
exaly   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +1 more source

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
openaire   +2 more sources

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 ...
openaire   +1 more source

Numerical Solution of Saint-Venant Equations

Journal of the Hydraulics Division, 1970
The general, one-dimensional Saint-Venant equations are presented for a rigid open channel of arbitrary form, not necessarily prismatic, containing a flow that may be spatially varied. The theoretical basis for the method of characteristics is reviewed and used to show that, in the general case, the speed of long-wave disturbances is given by the slope
openaire   +1 more source

Upwind Conservative Scheme for the Saint Venant Equations

Journal of Hydraulic Engineering, 2004
An upwind conservative scheme with a weighted average water-surface-gradient approach is proposed to compute one-dimensional open channel flows. The numerical scheme is based on the control volume method. The intercell flux is computed by the one-sided upwind method.
Xinya Ying, Abdul A. Khan, Sam S. Y. Wang   +2 more
openaire   +1 more source