Diffusive wave approximation to the shallow water equations: Computational approach

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

Research output: Contribution to journalConference articlepeer-review

8 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
Pages (from-to)1828-1833
Number of pages6
JournalProcedia Computer Science
Volume4
DOIs
StatePublished - 2011
Externally publishedYes
Event11th International Conference on Computational Science, ICCS 2011 - Singapore, Singapore
Duration: Jun 1 2011Jun 3 2011

Keywords

  • Overland flow
  • Shallow water flow
  • Time adaptivity

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