Influence of mesh structure on 2D full shallow water equations and SCS Curve Number simulation of rainfall/runoff events

Caviedes‐Voullième, Daniel; García‐Navarro, P.; Murillo, J.

doi:10.1016/j.jhydrol.2012.04.006

Cited by 103 publications

(102 citation statements)

References 25 publications

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“…Designing the mesh of a river network is generally a challenging optimization problem where the number of nodes must be minimized, while process representation and model convergence must be ensured (Mandlburger et al 2009;Caviedes-Voullième et al 2012). One approach is the examination of grid convergence.…”

Section: Refining the Meshmentioning

confidence: 99%

Channel Representation in Physically Based Models Coupling Groundwater and Surface Water: Pitfalls and How to Avoid Them

et al. 2014

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Recent models that couple three-dimensional subsurface flow with two-dimensional overland flow are valuable tools for quantifying complex groundwater/stream interactions and for evaluating their influence on watershed processes. For the modeler who is used to defining streams as a boundary condition, the representation of channels in integrated models raises a number of conceptual and technical issues. These models are far more sensitive to channel topography than conventional groundwater models. On all spatial scales, both the topography of a channel and its connection with the floodplain are important. For example, the geometry of river banks influences bank storage and overbank flooding; the slope of the river is a primary control on the behavior of a catchment; and at the finer scale bedform characteristics affect hyporheic exchange. Accurate data on streambed topography, however, are seldom available, and the spatial resolution of digital elevation models is typically too coarse in river environments, resulting in unrealistic or undulating streambeds. Modelers therefore perform some kind of manual yet often cumbersome correction to the available topography. In this context, the paper identifies some common pitfalls, and provides guidance to overcome these. Both aspects of topographic representation and mesh discretization are addressed. Additionally, two tutorials are provided to illustrate: (1) the interpolation of channel cross-sectional data and (2) the refinement of a mesh along a stream in areas of high topographic variability.

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Section: Refining the Meshmentioning

confidence: 99%

Channel Representation in Physically Based Models Coupling Groundwater and Surface Water: Pitfalls and How to Avoid Them

et al. 2014

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“…For instance, it was pointed out that simple empirical lumped models cannot easily describe the complexity of the sediment cycle. Thus, the use of distributed models, capable of taking explicit account of spatial variability of the process, is required (Caviedes-Voullième et al, 2012;Fernández-Pato et al, 2016, Herrero et al, 2017. Once they have been calibrated, even with short data sets, these models have the advantage of reproducing the spatial variability of water and erosional processes in the catchment, and can also be used to run simulations under different intra-basin (changes in land use and water uses) and extra-basin scenarios (climate change).…”

Section: Introductionmentioning

confidence: 99%

Application of a distributed 2D overland flow model for rainfall/runoff and erosion simulation in a Mediterranean watershed

Juez

Tena²,

Fernández-Pato

et al. 2018

CIG

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Soil erosion has reemerged as an environmental problem associated with climate change that requires the help of simulation tools for forecasting future consequences. This topic becomes even more relevant in Mediterranean catchments due to the highly variable and irregular rainfall regime. Hence, an approach that includes the rainfall/runoff and erosion phenomena is required for quantifying the amount of soil the catchments are transferring to the rivers. As the calibration process of the infiltration and erosion parameters can become cumbersome in terms of iterations to the optimal values to fit experimental data, a Simplified Catchment Model (SCM) is introduced as a first approach. The set of tuning constants that provides the best fit are used as input for re-calibrating the parameters by means of the simulation of the real catchment. The modeling effort here presented opens its application to the analysis of the hydro-sedimentary processes at larger temporal and spatial scales.

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“…The conceptual simplicity of first order FV schemes and its rather straightforward implementation and ease for parallelization have made it very popular. However, the first order FV approach suffers from high sensitivity to the computational mesh 1 [9], thus requiring high mesh resolution to ensure accuracy. Higher order FV methods have been attempted to solve this issue.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, a DG scheme for the shallow water equations must be well-balanced [26,27,28] and positivity-preserving [29], i.e., it must be able (i) to keep steady states over non-constant topography, and (ii) to keep positive values of depth, specially near the wet/dry front. It is also of great importance to have a sufficiently high resolution representation of the topography at very large gradients [9]. This has led to the need of not only properly discretizing the bed source term, but to build meshes that can harbor the required information with precision.…”

Section: Introductionmentioning

confidence: 99%

Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations

Gerhard

Caviedes‐Voullième

Müller

et al. 2015

Journal of Computational Physics

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We provide an adaptive strategy for solving shallow water equations with dynamic grid adaptation including a sparse representation of the bottom topography. A challenge in computing approximate solutions to the shallow water equations including wetting and drying is to achieve the positivity of the water height and the well-balancing of the approximate solution. A key property of our adaptive strategy is that it guarantees that these properties are preserved during the refinement and coarsening steps in the adaptation process.The underlying idea of our adaptive strategy is to perform a multiresolution analysis using multiwavelets on a hierarchy of nested grids. This provides difference information between successive refinement levels that may become negligibly small in regions where the solution is locally smooth. Applying hard thresholding the data are highly compressed and local grid adaptation is triggered by the remaining significant coefficients. Furthermore we use the multiresolution analysis of the underlying data as an additional indicator whether the limiter has to be applied on a cell or not. By this the number of cells where the limiter is applied is reduced without spoiling the accuracy of the solution.By means of well-known 1D and 2D benchmark problems, we verify that multiwavelet-based grid adaptation can significantly reduce the computational cost by sparsening the computational grids, while retaining accuracy and keeping well-balancing and positivity.

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Influence of mesh structure on 2D full shallow water equations and SCS Curve Number simulation of rainfall/runoff events

Cited by 103 publications

References 25 publications

Channel Representation in Physically Based Models Coupling Groundwater and Surface Water: Pitfalls and How to Avoid Them

Channel Representation in Physically Based Models Coupling Groundwater and Surface Water: Pitfalls and How to Avoid Them

Application of a distributed 2D overland flow model for rainfall/runoff and erosion simulation in a Mediterranean watershed

Multiwavelet-based grid adaptation with discontinuous Galerkin schemes for shallow water equations

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