Results 131 to 140 of about 573 (178)

Non-uniform grid based LBM for the Saint-Venant equations

Journal of Hydrology, 2018
Abstract A novel form of the lattice Boltzmann method for the Saint-Venant equations (LABSVE) is formulated and implemented. To eliminate equidistant property of the lattice structure being the major drawback of the LBM, and thus establish the LB model as tool for practical application (natural water bodies) fully competitive compared to the ...
Ljubomir Budinski
exaly   +2 more sources

Obtaining analytical solutions to Saint-Venant equations using optimization tools

Computational and Applied Mathematics
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Jose Mario Martinez
exaly   +2 more sources

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
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Nonlinearity tests of the Saint Venant equations

52nd IEEE Conference on Decision and Control, 2013
The Saint Venant equations are two nonlinear partial differential equations (PDE) which are used to describe the dynamics of one-dimensional flow in open water channels. Despite being nonlinear PDEs, the Saint Venant equations seem to exhibit linear behaviour in response to sinusoidal input signals.
Mathias Foo, Erik Weyer
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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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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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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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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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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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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 ...
openaire   +1 more source