Results 161 to 170 of about 2,652,488 (196)

An implicit method to solve Saint Venant equations

Journal of Hydrology, 1975
Abstract An implicit numerical method for solving Saint Venant equations has been defined for an application relating to the river Arno. This method exploits the linearity in the discharge of the mass equation, by means of which it is possible to express the discharge as a function of the water level and to use this expression in the equation of ...
Francesco Greco, Lorenzo Panattoni
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Analytical and numerical solution of Saint-Venant equations

Journal of Hydrology, 1986
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.
Mieczysław Chalfen, Niemiec, Andrzej
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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, Adam Braun, Mohand Ouidir Amirat, Mathieu Bajodek   +3 more
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Finite Element Solution of Saint-Venant Equations

Journal of the Hydraulics Division, 1976
A finite element solution based on the Galerkin method was developed for the Saint-Venant equations that approximately govern unsteady flow in rigid open channels. A predictor-corrector solution scheme produced theoretically stable and convergent results, and applications to test problems confirmed stability provided that time steps were not so large ...
Richard L. Cooley, Syed Afaq Moin
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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, Xavier, Fromion, Vincent
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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
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A characteristic particle method for the Saint Venant equations

Computers & Fluids, 2013
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Solution of the inverse problem for the Saint Venant equations

Journal of Hydrology, 1993
Abstract This paper presents the formulation of the inverse problem for the Saint Venant equations. It appears that this problem can be posed only for subcritical channel flow. The equations of unsteady flow are integrated in the domain 0 ≤ t ≤ T and x ≤ 0 and solved using an implicit four-point difference scheme.
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ODE solution to the characteristic form of the Saint-Venant equations

Irrigation Science, 2007
An ordinary differential equation algorithm was formulated to approximate the solution to the characteristic form of the Saint-Venant equations for one-dimensional, gradually varied, unsteady open-channel flow in prismatic irrigation canals. The algorithm was applied by developing a network of characteristics using difference equations for randomly ...
S. J. Chun, G. P. Merkley
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De Saint-Venant Equations Experimentally Verified

Journal of the Hydraulics Division, 1971
The unsteady spatially varied flow equations (De Saint-Venant equations) are being solved by implicit finite differences with explicit description at the boundaries. Imposition of improper boundary conditions which violate the physics of the problem resulted into either violation of continuity or numerical instability problems or meaningless results ...
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