Time adaptivity in the diffusive wave approximation to the shallow water equations
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 initia...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Elsevier Ltd
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/51488 |
| _version_ | 1848758710120218624 |
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| author | Collier, N. Radwan, H. Dalcin, L. Calo, Victor |
| author_facet | Collier, N. Radwan, H. Dalcin, L. Calo, Victor |
| author_sort | Collier, N. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. © 2011 Elsevier B.V. |
| first_indexed | 2025-11-14T09:48:19Z |
| format | Journal Article |
| id | curtin-20.500.11937-51488 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:48:19Z |
| publishDate | 2013 |
| publisher | Elsevier Ltd |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-514882017-09-13T15:35:59Z Time adaptivity in the diffusive wave approximation to the shallow water equations Collier, N. Radwan, H. Dalcin, L. Calo, Victor 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. © 2011 Elsevier B.V. 2013 Journal Article http://hdl.handle.net/20.500.11937/51488 10.1016/j.jocs.2011.07.004 Elsevier Ltd restricted |
| spellingShingle | Collier, N. Radwan, H. Dalcin, L. Calo, Victor Time adaptivity in the diffusive wave approximation to the shallow water equations |
| title | Time adaptivity in the diffusive wave approximation to the shallow water equations |
| title_full | Time adaptivity in the diffusive wave approximation to the shallow water equations |
| title_fullStr | Time adaptivity in the diffusive wave approximation to the shallow water equations |
| title_full_unstemmed | Time adaptivity in the diffusive wave approximation to the shallow water equations |
| title_short | Time adaptivity in the diffusive wave approximation to the shallow water equations |
| title_sort | time adaptivity in the diffusive wave approximation to the shallow water equations |
| url | http://hdl.handle.net/20.500.11937/51488 |