An adaptive time step solution for raster-based storage cell modelling of floodplain inundation

Hunter, Neil; Horritt, M. S.; Bates, Paul; Wilson, Matthew; Werner, Micha

doi:10.1016/j.advwatres.2005.03.007

Cited by 211 publications

(199 citation statements)

References 23 publications

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“…The minimum of both is taken as the final ‫.ݐ∆‬ Eq. (13) 115 is similar to the expressions found in other diffusive models (Hunter et al, 2005;and Cea et al, 116 2010), however herein the smallest allowable time step is twice of those models; the gain comes 117 from the fluxes discretization at the faces (Eq. (8)).…”

supporting

confidence: 61%

“…Therefore, we leave the smpd implementation for 170 a future stage when simulations with large scale data on distributed machines are required. 171 Although there is no analytical solution, the shape and front propagation is intuitively correct as it 225 shows a marked step front which is delayed with the increase of the Manning's coefficient and its 226 behaviour is similar to the solution found in Hunter et al (2005). This test case is nonetheless more 227 demanding than the previous one because a nearly flat surface appears at x=0 m and becomes more 228 pronounced before and after the receding phase (i.e.…”

mentioning

confidence: 85%

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A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave)

Leandro

Chen

Schumann

2014

Journal of Hydrology

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Please cite this article as: Leandro, J., Chen, A.S., Schumann, A., A 2D Parallel Diffusive Wave Model for floodplain inundation with variable time step (P-DWave), Journal of Hydrology (2014), doi: http://dx.doi.org/10. 1016/ j.jhydrol.2014.05.020 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Growing advances in remote sensing technologies together with the widespread availability of 11 Digital terrain models (DTM) have intensified the research into two-dimensional (2D) models. 12Supported by detailed DTM, 2D models can become very accurate tools yet not without an added 13 cost on the computational effort. Floodplain inundation is characterized by a slow varying 14 phenomenon which can last hours, days or even weeks. In this paper we aim to develop a specific 15 parallel diffusive wave model with variable time step suitable for flood inundation. Taking advantage 16 of up to 12 processors, speed-up times ranging from 1.7 to 5.2 and 1.2 to 1.7 are achieved with the 17 Matlab parallel computing toolbox and Fortran OpenMP Application Programming, respectively. The 18 variable time method and the process devised to represent Wet-Dry fronts kept the solution stable 19 and preserved absolute mass conservation. P-DWave performed well against known analytical 20 solutions and dynamic and diffusive models in a total of seven tests. 21

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confidence: 61%

mentioning

confidence: 85%

A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave)

Leandro

Chen

Schumann

2014

Journal of Hydrology

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“…The optimum time step is determined according to the Courant-Friedrichs-Lewy condition to prevent the water travelling more than one cell distance in a single step, and the transferrable volume of a cell to avoid the 'chequer board' oscillations. A similar methodology was used in the 2D cell storage models (Hunter et al, 2005;Yu and Lane, 2006a) to limit the flow exchanged between cells within a time step, or adjusting the time steps to capture the detailed flow dynamics.…”

Section: Methodology Urban Inundation Model (Uim)mentioning

confidence: 99%

A coarse-grid approach to representing building blockage effects in 2D urban flood modelling

Chen

Evans

Djordjević

et al. 2012

Journal of Hydrology

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The latest information and communications technology has enabled flood modelling in urban areas using high quality terrain data to simulate the detailed flow dynamics in local areas. However, the computational cost rises exponentially as the resolution goes finer. The advance of computing hardware is still a limiting factor for large-scale area or risk/uncertainty analysis modelling with fine resolution that describes the details of building features. Grid coarsening is the straightforward way to reduce the computing efforts for 2D flood modelling. The traditional approach to grid coarsening usually takes the average elevation of a fine grid as the new terrain model for the coarse grid. This approach often results in loss of information that introduces errors to modelling. In this study, the building features in coarse grids were abstracted using the building coverage ratio (BCR) and the conveyance reduction factor (CRF) parameters in a 2D model to simulate flooding in urban areas. The outcome of 2D case studies showed the proposed model can minimise the errors due to terrain averaging and provide a much better accuracy of modelling results at a marginally increased computing cost.

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“…The parameterisation of roughness is a fundamental aspect of hydraulic modelling. This is because the roughness of the channel and floodplain differ and therefore affect the conveyance of water in different ways (Hunter et al, 2005). The most common parameter used to represent roughness is Manning's n, which combines the effect of numerous factors which cause flow resistance, including vegetation , channel planform, obstructions, stage-discharge relationship and sediment interactions.…”

Section: Numerical Modelling Methodology For Downscalingmentioning

confidence: 99%

“…However, Hunter et al (2005) solved this problem through developing an adaptive time step model which produced results that were independent of the grid size and time step. Bates et al (1996; also notes that there is a lack of appropriate data for validation and calibration of hydraulic models.…”

Section: Numerical Modelling Methodology For Downscalingmentioning

confidence: 99%

Rural land management impacts on catchment scale flood risk

Pattison¹

2010

Role of Hydrology in Managing Consequences of a Changing Global Environment

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source• a link is made to the metadata record in Durham E-Theses• the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full Durham E-Theses policy for further details. Most approaches to this problem aim to upscale from individual grid cells to whole catchments, something that restricts the complexity of possible process representation, produces models that may not be parsimonious with the data needed to calibrate them and, faced with data uncertainties, provides computational limitations on the extent to which model uncertainty can be fully explored. Rather than upscaling to problems of concern, this thesis seeks to downscale from locations of known flood risk, as a means of identifying where land use management changes might be beneficial and then uses numerical modelling to identify the kinds of management changes required in those downscaled locations. Thus, the aim of this thesis is to test an approach to understanding the impacts of rural land management upon flood risk based upon catchment-to-source downscaling.This thesis uses the case study of the River Eden catchment (2400 km 2 ) as a test (1) it was shown to have a significant impact on downstream flood risk; and (2) it had range of data and information needed for modelling land use changes.The second part of this thesis explored the land management scenarios that could be used to reduce flood risk at the catchment scale. The scenarios to be tested were determined through a stakeholder participation approach, whereby workshops were held to brainstorm and prioritise land management options, and then to identify specific locations within the Eamont sub-catchment where they could tested. There were two main types of land management scenarios chosen: (1) landscape-scale changes, including afforestation and compaction; and (2) corresponding to a 5.8% decrease in peak discharge. A key conclusion is that land management practices have been shown to have an effect on catchment scale flooding, even for extreme flood events. However, the effect of land management scenarios are both spatially and temporally dependent i.e. the same land management practice has different effects depending on where it is implemented, and when implemented in the same location has different effects on different flood events.

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An adaptive time step solution for raster-based storage cell modelling of floodplain inundation

Cited by 211 publications

References 23 publications

A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave)

A 2D parallel diffusive wave model for floodplain inundation with variable time step (P-DWave)

A coarse-grid approach to representing building blockage effects in 2D urban flood modelling

Rural land management impacts on catchment scale flood risk

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