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Haar wavelet-based adaptive finite volume shallow water solver
- Source :
- Journal of Hydroinformatics. 17:857-873
- Publication Year :
- 2015
- Publisher :
- IWA Publishing, 2015.
-
Abstract
- This paper presents the formulation of an adaptive finite volume (FV) model for the shallow water equations. A Godunov-type reformulation combining the Haar wavelet is achieved to enable solution-driven resolution adaptivity (both coarsening and refinement) by depending on the wavelet's threshold value. The ability to properly model irregular topographies and wetting/drying is transferred from the (baseline) FV uniform mesh model, with no extra notable efforts. Selected hydraulic tests are employed to analyse the performance of the Haar wavelet FV shallow water solver considering adaptivity and practical issues including choice for the threshold value driving the adaptivity, mesh convergence study, shock and wet/dry front capturing abilities. Our findings show that Haar wavelet-based adaptive FV solutions offer great potential to improve the reliability of multiscale shallow water models.
- Subjects :
- Atmospheric Science
Mathematical optimization
Finite volume method
Solver
Geotechnical Engineering and Engineering Geology
Haar wavelet
Shock (mechanics)
Waves and shallow water
Wavelet
Convergence (routing)
Shallow water equations
Algorithm
Physics::Atmospheric and Oceanic Physics
Civil and Structural Engineering
Water Science and Technology
Mathematics
Subjects
Details
- ISSN :
- 14651734 and 14647141
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- Journal of Hydroinformatics
- Accession number :
- edsair.doi.dedup.....1818e7411be74f8062417905f3e02996