Integration of 1D and 2D finite volume schemes for computations of water flow in natural channels

Castellet, Ernest Bladé i; Gómez-Valentín, Manuel; Dolz, Josep; Aragón-Hernández, José Luis; Corestein, Georgina; Sánchez‐Juny, Martí

doi:10.1016/j.advwatres.2012.03.021

Cited by 77 publications

(47 citation statements)

References 20 publications

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“…Structural model errors stem from limitations of the governing equations, in this case the depth-averaged shallow-water equations, such as the assumption that pressure is hydrostatic, the velocity distribution is unidirectional (not stratified or skewed), and the bed is fixed (not erodible). Structural model errors will depend on whether the model solves the full shallow-water equations or simplified forms of the 2D equations [2,22], uses a coupled 1D/2D approach for channel flows [5,12,49,83], or introduces a sub-grid topographic model [60] or sub-grid obstruction model [38,65]. Input data errors include errors in initial conditions, boundary conditions, and parameters such as the resistance parameters and, most importantly, elevation data.…”

Section: Introductionmentioning

confidence: 99%

Mesh type tradeoffs in 2D hydrodynamic modeling of flooding with a Godunov-based flow solver

Kim

Sanders

Schubert

et al. 2014

Advances in Water Resources

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a b s t r a c tThe effect of mesh type on the accuracy and computational demands of a two-dimensional Godunov-type flood inundation model is critically examined. Cartesian grids, constrained and unconstrained triangular grids, constrained quadrilateral grids, and mixed meshes are considered, with and without local time stepping (LTS), to determine the approach that maximizes computational efficiency defined as accuracy relative to computational effort. A mixed-mesh numerical scheme is introduced so all grids are processed by the same solver. Analysis focuses on a wide range of dam-break type test cases, where Godunov-type flood models have proven very successful. Results show that different mesh types excel under different circumstances. Cartesian grids are 2-3 times more efficient with relatively simple terrain features such as rectilinear channels that call for a uniform grid resolution, while unstructured grids are about twice as efficient in complex domains with irregular terrain features that call for localized refinements. The superior efficiency of locally refined, unstructured grids in complex terrain is attributable to LTS; the locally refined unstructured grid becomes less efficient using global time stepping. These results point to mesh-type tradeoffs that should be considered in flood modeling applications. A mixed mesh model formulation with LTS is recommended as a general purpose solver because the mesh type can be adapted to maximize computational efficiency.

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Section: Introductionmentioning

confidence: 99%

Mesh type tradeoffs in 2D hydrodynamic modeling of flooding with a Godunov-based flow solver

Kim

Sanders

Schubert

et al. 2014

Advances in Water Resources

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“…There are also works where the performance of one-dimensional models is compared to two-dimensional ones (Horritt and Bates 2002). Generally, it seems that the integrated 1D-2D models have several advantages over 1D and 2D models (Bladé et al 2012).…”

Section: Introductionmentioning

confidence: 99%

An agricultural flash flood loss estimation methodology: the case study of the Koiliaris basin (Greece), February 2003 flood

et al. 2015

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River flooding causes significant losses to crops and negatively affects local agriculture economies, particularly in rural riverine areas. In this work, a techno-economic methodology for the monetary estimation of crop losses due to flash flooding is presented. The methodology takes into account flood depth and flow velocity, as provided by MIKE FLOOD, as well as the season of flood occurrence, and provides monetary estimates of crop damage based on synthetic logistic flow velocity-flood depth-crop damage surfaces. The development of the flood damage surfaces involved a questionnaire survey targeting practicing and research agronomists. Subsequently, a weighted Monte Carlo simulation was performed in order to enhance the questionnaire-based loss estimate information. Finally, synthetic flow velocity-flood depth-crop damage surfaces were developed for every crop under study and for every month using logistic regression analysis. The damage surfaces are an essential component of the developed model which was implemented in Python, enabling the GIS visualization of the estimated agricultural damage. The aforementioned methodology was applied for estimating the damage caused by a flash flood that took place in the Koiliaris River Basin in Crete for which no historical data exist. The novelty of the proposed methodology is the development of local synthetic flow velocityflood depth-crop damage surfaces. Furthermore, the velocity parameter, which is taken into account, makes the methodology suitable for flash flood events, where significant discharges and high velocities dominate, or for flood event cases which are characterized by high flow velocities. The methodology identifies rural areas and agricultural land uses that are most prone to flooding and serious crop damages and thus require greater attention. Furthermore, the methodology aptitude for developing local damage surfaces could be modulated in order to confront different flood scenarios on various crops distributions and be used to address agricultural planning activities.

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“…The ranges of application of Iber cover river hydrodynamics, dam-break simulation, flood zones evaluation, sediment transport calculation and wave flow in estuaries. The model can be run over an irregular mesh of triangles, quadrilaterals or a combination of both of them [50]. The wind effect is considered in the source term H in Equation (2) through τ x and τ y , which are the decomposition in the x and y directions of the wind stress over the water surface τ.…”

Section: Numerical Schemementioning

confidence: 99%

Envisat/ASAR Images for the Calibration of Wind Drag Action in the Doñana Wetlands 2D Hydrodynamic Model

et al. 2013

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Doñana National Park wetlands are located in southwest Spain, on the right bank of the Guadalquivir River, near the Atlantic Ocean coast. The wetlands dry out completely every summer and progressively flood again throughout the fall and winter seasons. Given the flatness of Doñana's topography, the wind drag action can induce the flooding or emergence of extensive areas, detectable in remote sensing images. Envisat/ASAR scenes acquired before and during strong and persistent wind episodes enabled the spatial delineation of the wind-induced water displacement. A two-dimensional hydrodynamic model of Doñana wetlands was built in 2006 with the aim to predict the effect of proposed hydrologic restoration actions within Doñana's basin. In this work, on-site wind records and concurrent ASAR scenes are used for the calibration of the wind-drag modeling by assessing different formulations. Results show a good adjustment between the modeled and observed wind drag effect. Displacements of up to 2 km in the wind direction are satisfactorily reproduced by the hydrodynamic model, while including an atmospheric stability parameter led to no significant improvement of the results. Such evidence will contribute to a more accurate simulation of hypothetic or design scenarios, when no information is available for the atmospheric stability assessment.

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Integration of 1D and 2D finite volume schemes for computations of water flow in natural channels

Cited by 77 publications

References 20 publications

Mesh type tradeoffs in 2D hydrodynamic modeling of flooding with a Godunov-based flow solver

Mesh type tradeoffs in 2D hydrodynamic modeling of flooding with a Godunov-based flow solver

An agricultural flash flood loss estimation methodology: the case study of the Koiliaris basin (Greece), February 2003 flood

Envisat/ASAR Images for the Calibration of Wind Drag Action in the Doñana Wetlands 2D Hydrodynamic Model

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