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, the one dimensional results presented in this work feature a change of four orders of magnitudes for the time step over the entire simulation. (C) 2011 Elsevier B.V. All rights reserved. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1016/j.jocs.2011.07.004 | Journal of Computational Science |
Keywords | Field | DocType |
Time adaptivity,Shallow water flow,Overland flow | Discretization,Orders of magnitude (numbers),Discretization error,Mathematical optimization,Computer science,Shallow water equations,Estimator | Journal |
Volume | Issue | ISSN |
4 | 3 | 1877-7503 |
Citations | PageRank | References |
3 | 0.45 | 1 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nathan O. Collier | 1 | 45 | 8.33 |
Hany Radwan | 2 | 5 | 1.16 |
Lisandro Dalcín | 3 | 128 | 18.25 |
Victor M. Calo | 4 | 191 | 38.14 |