Numerical methods for ordinary differential systems: the initial value problem
Numerical methods for ordinary differential systems: the initial value problem
An introduction to finite element methods for transient advection problems
Computer Methods in Applied Mechanics and Engineering
| Hi-index | 0.49 |
A Padé-Galerkin solution for dam-break simulations is proposed. 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 the 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 investigated in one- and two-dimensional problems.