On The Numerical Computation Of Nearly Horizontal Flows

Abbott, Michael B.; Ionescu, Filip

doi:10.1080/00221686709500195

Cited by 153 publications

(61 citation statements)

References 7 publications

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“…the weighted four point-Preissmann scheme (Preissmann 1960), Godunov-based methods (LeVeque 1992), the the weighted six-point Abbott-Ionescu scheme (Abbot and Ionescu 1967), and TVD (Total Variation Diminishing) schemes (Toro 1997). Each numerical scheme has its own advantages and disadvantages.…”

Section: Methodsmentioning

confidence: 99%

Application of a coastal modelling code in fluvial environments

Hartanto

Beevers

Popescu

et al. 2011

Environmental Modelling & Software

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XBeach is an open source, freely available two-dimensional code, developed to solve hydrodynamic and morphological processes in the coastal environment. In this paper the code is applied to ten different test cases specific to hydraulic problems encountered in the fluvial environment, with the purpose of proving the capability of XBeach in rivers. Results show that the performance of XBeach is acceptable, comparing well to other commercially available codes specifically developed for fluvial modelling. Some advantages and deficiencies of the codes are identified and recommendations for adaptation into the fluvial environment are made.

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Section: Methodsmentioning

confidence: 99%

Application of a coastal modelling code in fluvial environments

Hartanto

Beevers

Popescu

et al. 2011

Environmental Modelling & Software

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“…River flow in MIKE HYDRO River (previously referred to as MIKE 11) is modelled using a 1-D dynamic wave routing based on the Saint-Venant equations for unsteady flow (Havnø et al, 1995). The governing equations are solved using a six-point implicit finite difference scheme (Abbott and Ionescu, 1967). The solution is computed on a staggered grid of alternating Q and h points.…”

Section: 1 Hydrodynamic Modelmentioning

confidence: 99%

Application of CryoSat-2 altimetry data for river analysis and modelling

Schneider

Godiksen

Villadsen

et al. 2017

Hydrol. Earth Syst. Sci.

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Abstract. Availability of in situ river monitoring data, especially of data shared across boundaries, is decreasing, despite growing challenges for water resource management across the entire globe. This is especially valid for the case study of this work, the Brahmaputra Basin in South Asia. Commonly, satellite altimeters are used in various ways to provide information about such river basins. Most missions provide virtual station time series of water levels at locations where their repeat orbits cross rivers. CryoSat-2 is equipped with a new type of altimeter, providing estimates of the actual ground location seen in the reflected signal. It also uses a drifting orbit, challenging conventional ways of processing altimetry data to river water levels and their incorporation in hydrologic-hydrodynamic models. However, CryoSat-2 altimetry data provides an unprecedentedly high spatial resolution. This paper suggests a procedure to (i) filter CryoSat-2 observations over rivers to extract water-level profiles along the river, and (ii) use this information in combination with a hydrologic-hydrodynamic model to fit the simulated water levels with an accuracy that cannot be reached using information from globally available digital elevation models (DEMs) such as from the Shuttle Radar Topography Mission (SRTM) only. The filtering was done based on dynamic river masks extracted from Landsat imagery, providing spatial and temporal resolutions high enough to map the braided river channels and their dynamic morphology. This allowed extraction of river water levels over previously unmonitored narrow stretches of the river. In the Assam Valley section of the Brahmaputra River, CryoSat-2 data and Envisat virtual station data were combined to calibrate cross sections in a 1-D hydrodynamic model of the river. The hydrologichydrodynamic model setup and calibration are almost exclusively based on openly available remote sensing data and other global data sources, ensuring transferability of the developed methods. They provide an opportunity to achieve forecasts of both discharge and water levels in a poorly gauged river system.

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“…1) and momentum (Eq. 2) is based on an implicit finite difference scheme developed by Abbott and Ionescu (1967). The model domain includes the CFP, the Tonle Sap Lake and the majority of the channels and hydraulic structures in the VMD.…”

Section: Hydrodynamic Modellingmentioning

confidence: 99%

Has dyke development in the Vietnamese Mekong Delta shifted flood hazard downstream?

Triet

Dũng

Fujii

et al. 2017

Hydrol. Earth Syst. Sci.

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Abstract. In the Vietnamese part of the Mekong Delta (VMD) the areas with three rice crops per year have been expanded rapidly during the last 15 years. Paddy-rice cultivation during the flood season has been made possible by implementing high-dyke flood defenses and flood control structures. However, there are widespread claims that the highdyke system has increased water levels in downstream areas. Our study aims at resolving this issue by attributing observed changes in flood characteristics to high-dyke construction and other possible causes. Maximum water levels and duration above the flood alarm level are analysed for gradual trends and step changes at different discharge gauges. Strong and robust increasing trends of peak water levels and duration downstream of the high-dyke areas are found with a step change in 2000/2001, i.e. immediately after the disastrous flood which initiated the high-dyke development. These changes are in contrast to the negative trends detected at stations upstream of the high-dyke areas. This spatially different behaviour of changes in flood characteristics seems to support the public claims. To separate the impact of the highdyke development from the impact of the other drivers -i.e. changes in the flood hydrograph entering the Mekong Delta, and changes in the tidal dynamics -hydraulic model simulations of the two recent large flood events in 2000 and 2011 are performed. The hydraulic model is run for a set of scenarios whereas the different drivers are interchanged. The simulations reveal that for the central VMD an increase of 9-13 cm in flood peak and 15 days in duration can be attributed to high-dyke development. However, for this area the tidal dynamics have an even larger effect in the range of 19-32 cm. However, the relative contributions of the three drivers of change vary in space across the delta. In summary, our study confirms the claims that the high-dyke development has raised the flood hazard downstream. However, it is not the only and not the most important driver of the observed changes. It has to be noted that changes in tidal levels caused by sea level rise in combination with the widely observed land subsidence and the temporal coincidence of high water levels and spring tides have even larger impacts. It is recommended to develop flood risk management strategies using the high-dyke areas as retention zones to mitigate the flood hazard downstream.

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On The Numerical Computation Of Nearly Horizontal Flows

Cited by 153 publications

References 7 publications

Application of a coastal modelling code in fluvial environments

Application of a coastal modelling code in fluvial environments

Application of CryoSat-2 altimetry data for river analysis and modelling

Has dyke development in the Vietnamese Mekong Delta shifted flood hazard downstream?

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