Journal
JOURNAL OF COMPUTATIONAL SCIENCE
Volume 4, Issue 3, Pages 152-156Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.jocs.2011.07.004
Keywords
Time adaptivity; Shallow water flow; Overland flow
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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.
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