Finite Element Watershed Modeling: One‐Dimensional Elements

Vieux, Baxter E.; Bralts, Vincent F.; Segerlind, L. J.; Wallace, Roger B.

doi:10.1061/(asce)0733-9496(1990)116:6(803)

Cited by 42 publications

(15 citation statements)

References 5 publications

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“…The tool r.inund.fluv allows one to develop a fluvial potential inundation map given a high-resolution DTM of the area surrounding the river and a water surface profile calculated through a 1-D hydrodynamic model. GRASS GIS stores among its add-ons several hydrological tools to support flood hazard assessment:r.hydro.CASC2D, [53], is a physically-based, distributed, raster hydrologic model which simulates the hydrologic response of a watershed subject to a given rainfall field; r.water.fea, [54],is an interactive program that allows the user to simulate storm water runoff analysis using the finite element numerical technique; r.tokapi is a GIS GRASS script for the TOPKAPI (TOPographic Kinematic APproximation and Integration) model, and is a fully-distributed, physically-based hydrological model that can provide high-resolution information on the hydrological state of a catchment; r.sim.water, [55],is a landscape scale simulation model of overland flow designed for spatially-variable terrain, soil, cover, and rainfall excess conditions; HydroFOSS, [56], supports continuous simulations to determine flow rates and conditions during both runoff and dry periods. QGIS manages several plugins for pre-and post-processing of hydraulic modeling, such as Crayfish, QRAS, and RiverGIS, that are able to, for example, transfer depths and velocities from the hydraulics to the GIS flood analysis.…”

Section: A (Free and Open-source) Foss Gis Risk Analysis Approachmentioning

confidence: 99%

Collaborative Strategies for Sustainable EU Flood Risk Management: FOSS and Geospatial Tools—Challenges and Opportunities for Operative Risk Analysis

Albano

Mancusi

Sole

et al. 2015

IJGI

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An analysis of global statistics shows a substantial increase in flood damage over the past few decades. Moreover, it is expected that flood risk will continue to rise due to the combined effect of increasing numbers of people and economic assets in risk-prone areas and the effects of climate change. In order to mitigate the impact of natural hazards on European economies and societies, improved risk assessment, and management needs to be pursued. With the recent transition to a more risk-based approach in European flood management policy, flood analysis models have become an important part of flood risk management (FRM). In this context, free and open-source (FOSS) geospatial models provide better and more complete information to stakeholders regarding their compliance with the Flood Directive (2007/60/EC) for effective and collaborative FRM. A geospatial model is an essential tool to address the European challenge for comprehensive and sustainable FRM because it allows for the use of integrated social and economic quantitative risk outcomes in a spatio-temporal domain. Moreover, a FOSS model can support governance processes using an interactive, transparent and collaborative approach, providing a meaningful experience OPEN ACCESS ISPRS Int. J. Geo-Inf. 2015, 4 2705 that both promotes learning and generates knowledge through a process of guided discovery regarding flood risk management. This article aims to organize the available knowledge and characteristics of the methods available to give operational recommendations and principles that can support authorities, local entities, and the stakeholders involved in decision-making with regard to flood risk management in their compliance with the Floods Directive (2007/60/EC).

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Section: A (Free and Open-source) Foss Gis Risk Analysis Approachmentioning

confidence: 99%

Collaborative Strategies for Sustainable EU Flood Risk Management: FOSS and Geospatial Tools—Challenges and Opportunities for Operative Risk Analysis

Albano

Mancusi

Sole

et al. 2015

IJGI

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“…7 was solved by using a Galerkin-based finite element method in the space domain and an implicit finite difference method in the time domain. In Galerkin's formulation, the product of the weighting function and the residual should be zero when integrated over the entire problem domain (Sharda and Singh 1994;Vieux et al 1990). …”

Section: Fem Formulationmentioning

confidence: 99%

Finite Element Method and GIS Based Distributed Model for Soil Erosion and Sediment Yield in a Watershed

Naik

Rao

Eldho

2008

Water Resour Manage

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The objective of this study is to develop a soil erosion and sediment yield model based on the kinematic wave approximation using the finite element method, remote sensing and geographical information system (GIS) for calculating the soil erosion and sediment yield in a watershed. Detachment of soil particles by overland flow occurs when the shear stress at the surface overcomes the gravitational forces and cohesive forces on the particles. Deposition occurs when the sediment load is greater than the transport capacity. Beasley et al.'s (Trans ASAE 23: 938-944, 1980) transport equations for laminar and turbulent flow conditions are used to calculate the transport capacity. The model is capable of handling distributed information about land use, slope, soil and Manning's roughness. The model is applied to the Catsop watershed in the Netherlands and the Harsul watershed in India. Remotely sensed data has been used to extract land use/land cover map of the Harsul watershed, and other thematic maps are generated using the GIS. The simulated results for both calibration and validation events are compared with the observed data for the watersheds and found to be reasonable. Statistical evaluation of model performance has been carried out. Further, a sensitivity analysis has also been carried out to study the effect of variation in model parameter values on computed volume of sediment, peak sediment and the time to peak sediment. Sensitivity analysis has also been carried out for grid size variation and time step variation of the Catsop watershed. The proposed model is useful in predicting the hydrographs and sedigraphs in the agricultural watersheds.

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“…The continuity and momentum equations with kinematic wave approximation for overland flow in one-dimensional form are given as follows (Henderson 1966;Chow et al 1988;Vieux et al 1990;Jaber and Mohtar 2002) Continuity equation:…”

Section: Overland Flow Modelmentioning

confidence: 99%

“…Blandford and Meadows (1990) developed a one dimensional model based on kinematic wave equation to simulate storm water runoff from impervious surfaces. Vieux et al (1990) used nodal values of hydraulic roughness and slope to avoid the kinematic shock which allowed detailed simulation of direct runoff in a watershed with spatially variable slopes and roughness coefficients. The one dimensional flow network discretization approaches can be applied to kinematic wave routing over connected planes, because the assumptions inherent to kinematic wave equations require that flow always be in the direction of the principal slope (DeVantier and Feldman 1993).…”

mentioning

confidence: 99%

A Distributed Kinematic Wave–Philip Infiltration Watershed Model Using FEM, GIS and Remotely Sensed Data

Venkata

Eldho

Rao

et al. 2007

Water Resour Manage

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Distributed rainfall-runoff modeling is very important in the water resources planning of a watershed. In this study, a kinematic wave based distributed watershed model which simulates runoff on an event basis has been presented here. The finite element method (FEM) has been used to simulate the overland runoff and channel flow. Philip model has been used for the infiltration estimation. To find out runoff at the outlet of the watershed, both overland flow and channel flow models are coupled. The coupled model has been applied to a typical Indian watershed. Remotely sensed data has been used to obtain the land use (LU)/land cover (LC) for the watershed. Slope map of the watershed has been obtained using geographical information systems (GIS). The grid map of the watershed which contains overland flow elements connecting to channel flow elements has been prepared in GIS. The elemental input files such as slope and Manning's roughness are prepared using the GIS and are directly used in the model. The model has been calibrated using some of the rainfall events and validated for some other events. The model results are compared with the observed data and found to be satisfactory. A sensitivity study of the infiltration parameters, overland and channel flow Manning's roughness and time step has also been carried out. The developed model is useful for the simulation of event based rainfall-runoff for small watersheds.

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Finite Element Watershed Modeling: One‐Dimensional Elements

Cited by 42 publications

References 5 publications

Collaborative Strategies for Sustainable EU Flood Risk Management: FOSS and Geospatial Tools—Challenges and Opportunities for Operative Risk Analysis

Collaborative Strategies for Sustainable EU Flood Risk Management: FOSS and Geospatial Tools—Challenges and Opportunities for Operative Risk Analysis

Finite Element Method and GIS Based Distributed Model for Soil Erosion and Sediment Yield in a Watershed

A Distributed Kinematic Wave–Philip Infiltration Watershed Model Using FEM, GIS and Remotely Sensed Data

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