Results 91 to 100 of about 290 (130)

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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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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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
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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
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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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Bifurcations and Dynamics of Traveling Wave Solutions for the Regularized Saint-Venant Equation

International Journal of Bifurcation and Chaos, 2020
This paper studies the bifurcations of phase portraits for the regularized Saint-Venant equation (a two-component system), which appears in shallow water theory, by using the theory of dynamical systems and singular traveling wave techniques developed in [Li & Chen, 2007] under different parameter conditions in the two-parameter space.
Jibin Li 0001, Guanrong Chen, Jie Song
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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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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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