Time adaptivity in the diffusive wave approximation to the shallow water equations |
| |
Institution: | 1. Department of Mechanical Engineering, Texas A&M University, College Station, TX 77845, USA;2. University of Padova, Department of Management and Engineering, Stradella S. Nicola 3, 36100 Vicenza Italy |
| |
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. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|