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A fractional-step Padé-Galerkin model for dam-break flow simulation. (English) Zbl 1040.76038

Summary: We propose a Padé-Galerkin solution for dam-break simulations. The fractional time-step integration of Saint-Venant equations is obtained by a three-stage Padé implicit approximation, whereas the spatial discretization is obtained by standard Galerkin finite element method. The model, unconditionally stable, becomes dissipative with the formulation of the unknown quantity mass matrix in lumped form. Results, in terms of water profiles and depth hydrographs, following dam-break phenomena, are obtained for one- and two-dimensional problems.

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
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