Diffusive wave approximation to the shallow water equations: Computational approach
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: | Conference Paper |
| Published: |
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/53226 |
| _version_ | 1848759094692806656 |
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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, 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. © 2011 Published by Elsevier Ltd. |
| first_indexed | 2025-11-14T09:54:25Z |
| format | Conference Paper |
| id | curtin-20.500.11937-53226 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:54:25Z |
| publishDate | 2011 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-532262017-09-13T15:46:01Z Diffusive wave approximation to the shallow water equations: Computational approach 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, 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. © 2011 Published by Elsevier Ltd. 2011 Conference Paper http://hdl.handle.net/20.500.11937/53226 10.1016/j.procs.2011.04.198 unknown |
| spellingShingle | Collier, N. Radwan, H. Dalcin, L. Calo, Victor Diffusive wave approximation to the shallow water equations: Computational approach |
| title | Diffusive wave approximation to the shallow water equations: Computational approach |
| title_full | Diffusive wave approximation to the shallow water equations: Computational approach |
| title_fullStr | Diffusive wave approximation to the shallow water equations: Computational approach |
| title_full_unstemmed | Diffusive wave approximation to the shallow water equations: Computational approach |
| title_short | Diffusive wave approximation to the shallow water equations: Computational approach |
| title_sort | diffusive wave approximation to the shallow water equations: computational approach |
| url | http://hdl.handle.net/20.500.11937/53226 |