Title
Time adaptivity in the diffusive wave approximation to the shallow water equations.
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. Collier1458.33
Hany Radwan251.16
Lisandro Dalcín312818.25
Victor M. Calo419138.14