期刊
JOURNAL OF HYDROINFORMATICS
卷 17, 期 6, 页码 857-873出版社
IWA PUBLISHING
DOI: 10.2166/hydro.2015.039
关键词
finite volume method; Haar wavelets; multiresolution; one-dimensional (1D); shallow water modelling
类别
资金
- Kurdistan Regional Government, Ministry of High Education and Scientific Research
- UK Engineering and Physical Sciences Research Council [EP/K031023/1]
- Pennine Water Group platform grant [EP/I029346/1]
- EPSRC [EP/I029346/1, EP/K031023/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/I029346/1, EP/K031023/1] Funding Source: researchfish
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.
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