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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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Numerical Integration of the System of Saint Venant Equations

2009
This chapter begins with brief review of the numerical methods applicable for the Saint Venant equations. Detailed description of the finite difference Preissmann scheme and of the modified finite element method used for a channel with fixed bed is provided.
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Pivoting Strategies in the Solution of the Saint-Venant Equations

Journal of Irrigation and Drainage Engineering, 2009
Pivoting was incorporated in the process of solving the linear system of equations that results after discretizing the Saint- Venant equations using the four-point implicit scheme, and applying the Newton–Raphson algorithm to the resulting set of nonlinear equations.
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A pure finite-element method for the Saint-Venant equations

Coastal Engineering, 1982
Abstract The Saint-Venant system of partial differential equations is solved by a pure finite-element method, in which integrations in both space and time are performed by utilizing Galerkin's procedure. With a special treatment of the non-linear terms, the problem is finally reduced to a linear system of algebraic equations that is solved by the ...
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