2011
DOI: 10.1007/s10236-011-0423-6
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Efficient scheme for the shallow water equations on unstructured grids with application to the Continental Shelf

Abstract: In this paper, a shallow-water flow solver is presented, based on the finite-volume method on unstructured grids The method is suitable for flows that occur in rivers, channels, sewer systems (1D), shallow seas, rivers, overland flow (2D), and estuaries, lakes and shelf breaks (3D). We present an outline of the numerical approach and show three 2D test cases and an application of tidal propagation on the Continental Shelf. The benefits of applying an unstructured grid were explored by creating an efficient mod… Show more

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Cited by 162 publications
(146 citation statements)
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“…However, this may be constrained by the actual aims of the modelling as well as available boundary data. Further examples of the issues arising when de ning a model grid are given by Hsu et al [33], Kernkamp et al [34], Liu and Ren [35], and Maynard and Johnson [36]. Table 3 shows an example of the typical model grid resolution required for estuarine models intended for studies of water levels and ow velocities [3].…”
Section: Model Grid Setupmentioning
confidence: 99%
“…However, this may be constrained by the actual aims of the modelling as well as available boundary data. Further examples of the issues arising when de ning a model grid are given by Hsu et al [33], Kernkamp et al [34], Liu and Ren [35], and Maynard and Johnson [36]. Table 3 shows an example of the typical model grid resolution required for estuarine models intended for studies of water levels and ow velocities [3].…”
Section: Model Grid Setupmentioning
confidence: 99%
“…Recently, Hoch et al (2017a) coupled PCR-GLOBWB (hereafter PCR) with the hydrodynamic model Delft3D Flexible Mesh (hereafter DFM; Kernkamp et al, 2011) for the Amazon River basin to integrate the hydrological and hydrodynamic processes occurring over the entire study area. Results indicate that spatially explicit coupling of hydrological and hydrodynamic models can improve the representation of inundation for all river reaches, not only those that are connected to upstream boundary conditions.…”
Section: Introductionmentioning
confidence: 99%
“…The Delft3D Flexible Mesh (Delft3D FM) is a hydrodynamic and morphodynamic unstructured mesh, process-based model, based on finite volume approach (Kernkamp et al 2010;Deltares 2014). Delft3D FM allows for straightforward coupling of its hydrodynamic modules with a water-quality model, Delft3D-WAQ (DELWAQ) (Achete et al 2015).…”
Section: Model Descriptionmentioning
confidence: 99%