A pure finite-element method for the Saint-Venant equations |
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| Authors: | PD Scarlatos |
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| Institution: | Laboratory of Hydraulics and Hydraulic Structures, School of Civil Engineering, Aristotelean University of Thessaloniki, Thessaloniki Greece |
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| 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 conjugate gradient algorithm. This implicit scheme is proved, by numerical experiments, to be unconditionally stable. The reliability of the method is investigated by comparison of the numerical results with experimental data. Also the accuracy of the model is tested against analytical solutions for simplified cases of the unsteady free surface flow equations. |
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