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Analytical and numerical solution of Saint-Venant equations

Journal of Hydrology, 1986
Abstract In this paper analytical solutions of Saint-Venant equations with particular initial and boundary conditions are investigated. These solutions were used to prove the correctness of numerical solutions. The general Preissmann scheme was used to find the approximate solution. The authors find stability conditions for this scheme.
Mieczyslaw Chalfen, Andrzej Niemiec
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Space-Time Conservation Method Applied to Saint Venant Equations

Journal of Hydraulic Engineering, 1998
A new numerical technique by Chang is described and used to solve the one-dimensional (1D)g and two-dimensional (2D) Saint Venant equations. This new technique differs from traditional numerical methods (i.e., finite-difference, finite-element, finite-volume, spectral methods, etc.).
Thomas Molls, Frank Molls
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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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Shooting Method for Saint Venant Equations of Furrow Irrigation

Journal of Irrigation and Drainage Engineering, 1990
Flow in surface irrigation is subcritical and downstream conditions can propagate upstream. The shooting or initialvalue method started from the downstream end and proceeded upstream against the fl...
W. W. Wallender, Mohammad Rayej
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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
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ADAPTIVE MULTIPLE KNOT B-SPLINE WAVELETS FOR SOLVING SAINT-VENANT EQUATIONS

International Journal of Wavelets, Multiresolution and Information Processing, 2013
Solving the Saint-Venant equations by numerical methods like finite element and finite difference methods yields an unstable solution for a fairly large open channel. Multiple Knot B-Spline Wavelets (MKBSW) are in the class of semi-orthogonal wavelets that have compact support.
Tavakoli, Ali   +2 more
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A characteristic particle method for the Saint Venant equations

Computers & Fluids, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Underactuated boundary control of a linearized Saint-Venant equation

IMA Journal of Mathematical Control and Information
Abstract This paper deals with the stabilization of one-dimensional linearized, shock-free Saint-Venant equations, which are widely used in fluid modelling. The approach focuses on four under-actuated hyperbolic partial differential equations, combining Volterra transformations inspired by backstepping techniques.
Jean Auriol   +3 more
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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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