Diffusive Wave Approximation to the Shallow Water Equations: Computational Approach

Nathan Collier, Hany Radwan, Lisandro Dalcin, Victor M. Calo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

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, 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.
Original languageEnglish (US)
Title of host publicationProcedia Computer Science
PublisherElsevier BV
Pages1828-1833
Number of pages6
DOIs
StatePublished - May 22 2011

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