Results 121 to 130 of about 7,658 (165)

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

Green’s function of the linearized Saint-Venant equations in laminar and turbulent flows

Acta Geophysica, 2011
In the present paper, an analytical expression of the Green’s function of linearized Saint–Venant equations (LSVEs) for shallow water waves is provided and applied to analyse the propagation of a perturbation superposed to a uniform flow. Independently of the kinematic character of the base flow, i.e., subcritical or supercritical uniform flow, the ...
DI CRISTO C, IERVOLINO, Michele, VACCA, Andrea   +2 more
openaire   +5 more sources

Boundary control of linearized Saint-Venant equations oscillating modes

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Les équations de Saint-Venant décrivent la dynamique unidimensionnelle d`un canal à surface libre. L`article étudie les modes oscillants de l`équation de Saint-Venant linéarisée et leur contrôle. Nous montrons qu`il est possible de supprimer les modes oscillants sur tout le canal en utilisant un contrôleur frontière utilisant uniquement la mesure du ...
Litrico, X., Fromion, Vincent
openaire   +6 more sources

A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope [PDF]

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
exaly   +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

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

Adaptive finite element methods for solving Saint-Venant equations

Scientia Iranica, 2011
Solving Saint-Venant equations by the finite element method needs long CPU time (even for a short time). Moreover, if the channel length is fairly large, the system resulted by discretization is not directly solvable, and one should use iterative methods.
Ali Tavakoli
exaly   +2 more sources

On numerical stabilization in the solution of Saint-Venant equations using the finite element method

Computers and Mathematics With Applications, 2011
Solving the Saint-Venant equations by using numerical schemes like finite difference and finite element methods leads to some unwanted oscillations in the water surface elevation.
Fatemeh Zarmehi, Ali Tavakoli, Majid Rahimpour   +2 more
exaly   +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