A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation modelling

Bates, Paul; Horritt, M. S.; Fewtrell, Timothy

doi:10.1016/j.jhydrol.2010.03.027

Cited by 873 publications

(1,002 citation statements)

References 17 publications

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“…Lamb et al (2009) demonstrated that the GPU application can speed up the inundation modelling more than 100 times compared to the traditional CPU-based model on a standard desktop PC with a little additional hardware investment. Bates et al (2010) recently found that adding the inertia term to the diffusive inundation model LISFLOOD-FP can improve the model stability to allow greater time steps in modelling. Together with the implementation of MPI and Open-MP, the latest version of LISFLOOD-FP performed much faster than its previous versions.…”

Section: Many Parallel Computing Techniques Including Message Passinmentioning

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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Section: Many Parallel Computing Techniques Including Message Passinmentioning

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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“…Reduced-complexity two-dimensional (2D) hydraulic model codes are gaining popularity, given their computational efficiency when compared with fully physically based 2D model codes, and have even been applied in large-scale flood inundation case studies (e.g. Bates et al, 2010;Dottori and Todini, 2011;Hunter et al, 2005aHunter et al, , 2005bNeal et al, 2012). The selection of hydraulic models is typically based on a trade-off among the different factors of physical realism, computational efficiency, consistency with the quantity and quality of input and observation data, and objectives of the specific study.…”

Section: Introductionmentioning

confidence: 99%

Flood modelling: parameterisation and inflow uncertainty

Mukolwe

Baldassarre

Werner

et al. 2014

Proceedings of the Institution of Civil Engineers - Water Manag

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This paper presents an analysis of uncertainty in hydraulic modelling of floods, focusing on the inaccuracy caused by inflow errors and parameter uncertainty. In particular, the study develops a method to propagate the uncertainty induced by, firstly, application of a stage-discharge rating curve and, secondly, parameterisation of a onedimensional hydraulic model by way of the power function and the conditioning of Manning's roughness coefficients. The proposed methodology was applied to a 98 km reach of the River Po, Italy. Model performance was evaluated using two independent sets of observed water levels in the river reach within a generalised likelihood uncertainty estimation framework. The inflow uncertainty was found to have a greater contribution to the overall uncertainty of the 1D model than the roughness parameters. Independent parameter conditioning and validation, as well as the uncertainty analysis, showed satisfactory model performance. When conditioned on one flood event, the model adequately simulated flood levels and high water marks for another (independent) event, as the observations were within 90% confidence interval of the simulation ensemble.

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“…In this paper, we use a specific formulation of the 140 LISFLOOD-FP model developed by Neal et al (2012). This two-dimensional floodplain model uses an explicit forward difference scheme to simulate a shallow water wave (without convective acceleration) over the floodplain (Bates et al, 2010 Manning coefficients are regarded as free parameters to be estimated via model calibration (Anderson et al, 1996). However, the use of numerous Manning coefficients within the model can lead to over-fitting, i.e.…”

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confidence: 99%

“…SAR data). For the specific mathematical description of the model we refer to Bates et al (2010) and Neal et al (2012).…”

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confidence: 99%

Impact of the timing of a SAR image acquisition on the calibration of a flood inundation model

Gobeyn

Wesemael

Neal

et al. 2017

Advances in Water Resources

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A simple inertial formulation of the shallow water equations for efficient two-dimensional flood inundation modelling

Cited by 873 publications

References 17 publications

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

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

Flood modelling: parameterisation and inflow uncertainty

Impact of the timing of a SAR image acquisition on the calibration of a flood inundation model

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