Diffusive Wave Approximation to the Shallow Water Equations: Computational Approach
KAUST DepartmentApplied Mathematics and Computational Science Program
Earth Science and Engineering Program
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AbstractWe 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.
CitationDiffusive Wave Approximation to the Shallow Water Equations: Computational Approach 2011, 4:1828 Procedia Computer Science
JournalProcedia Computer Science
Conference/Event name11th International Conference on Computational Science, ICCS 2011