Abstract
We discuss the use of time adaptivity applied to the one dimensional diffusive wave approximation to the shallow water equations. A simple and computationally economical error estimator is discussed which enables time-step size adaptivity. This robust adaptive time discretization corrects the initial time step size to achieve a user specified bound on the discretization error and allows time step size variations of several orders of magnitude. In particular, in the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation.
Original language | English |
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Pages (from-to) | 1828-1833 |
Number of pages | 6 |
Journal | Procedia Computer Science |
Volume | 4 |
DOIs | |
State | Published - 2011 |
Externally published | Yes |
Event | 11th International Conference on Computational Science, ICCS 2011 - Singapore, Singapore Duration: Jun 1 2011 → Jun 3 2011 |
Keywords
- Overland flow
- Shallow water flow
- Time adaptivity