Title
Diffusive Wave Approximation To The Shallow Water Equations: Computational Approach
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 hound 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.
Year
DOI
Venue
2011
10.1016/j.procs.2011.04.198
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS)
Keywords
DocType
Volume
time adaptivity, shallow water flow, overland flow
Journal
4
ISSN
Citations 
PageRank 
1877-0509
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Nathan O. Collier1458.33
Hany Radwan251.16
Lisandro Dalcín312818.25
Victor M. Calo419138.14