Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
429556 | Journal of Computational Science | 2013 | 5 Pages |
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, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation.
► We present computational details of how to solve overland flow problems. ► We solve the DSW equations for a sample dam break problem. ► We show how time adaptivity does not overly change the solution while saving much computation.