Results 131 to 140 of about 7,658 (165)
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Upwind Conservative Scheme for the Saint Venant Equations
Journal of Hydraulic Engineering, 2004An 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 +2 more
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An implicit method to solve Saint Venant equations
Journal of Hydrology, 1975Abstract 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, 1986Abstract 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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Finite Element Solution of Saint-Venant Equations
Journal of the Hydraulics Division, 1976A 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, 1993Abstract 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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Underactuated boundary control of a linearized Saint-Venant equation
IMA Journal of Mathematical Control and InformationAbstract 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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Bifurcations and Dynamics of Traveling Wave Solutions for the Regularized Saint-Venant Equation
International Journal of Bifurcation and Chaos, 2020This 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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A characteristic particle method for the Saint Venant equations
Computers & Fluids, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ODE solution to the characteristic form of the Saint-Venant equations
Irrigation Science, 2007An 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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Hybrid computer solution of the Saint Venant equations
2012Abstract not available.
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