A subgrid based approach for morphodynamic modelling

Volp, N.D.; Prooijen, Bram C. van; Pietrzak, Julie D.; Stelling, Guus S.

doi:10.1016/j.advwatres.2015.07.013

Cited by 14 publications

(12 citation statements)

References 37 publications

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“…Tysell (2010) distinguishes four dierent strategies to generate adaptive grids. Volp et al (2016). They developed a subgrid based approach which is typically applicable in areas characterized by sub-critical ow such as estuaries, coastal areas and lowland rivers.…”

Section: Ecient Two Dimensional Gridsmentioning

confidence: 99%

Hydraulic modelling approaches to decrease uncertainty in flood frequency relations

Bomers¹

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Section: Ecient Two Dimensional Gridsmentioning

confidence: 99%

Hydraulic modelling approaches to decrease uncertainty in flood frequency relations

Bomers¹

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“…Given a staggered grid as defined above, Equations (1)-(2) can be conveniently discretized with the semi-implicit method described in the work of Casulli. 13 This method, which has proved to be quite successful in several applications (see, eg, other works [18][19][20][21][22][23][24][25][26] ), is adapted here to simulate shallow water flows with extreme subgrid resolution such as described by a detailed digital elevation model.…”

Section: Finite Difference-finite Volume Approximationmentioning

confidence: 99%

“…Several advantages offered by the subgrid approach have been demonstrated in many applications over the last decade (see, eg, other works [18][19][20][21][22][23][24] ). Essentially, equally acceptable numerical results can be produced at much lower computational cost with a coarser computational grid that contains detailed subgrid specifications.…”

Section: Introductionmentioning

confidence: 99%

Computational grid, subgrid, and pixels

Casulli

2019

Numerical Methods in Fluids

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Summary Free‐surface flows in rivers, estuaries, and coastal areas are strongly dominated by the geometrical details of the study area. Nowadays, accurate bathymetric data are easily available on raster‐based digital elevation models with an impressive spatial resolution. These data are often accessible as large two‐dimensional arrays containing several millions of pixel values. Recent numerical methods are very efficient and rather accurate but far from being able to solve the governing differential equations on a computational grid with such a fine spatial resolution. In the present investigation, the unaltered pixel values from a digital elevation model are clustered to form subgrids of a coarser computational grid. Artificial cross‐flow between disconnected areas is inhibited by introducing cell clones and edge clones. Each clone consists of directly connected pixels. It is shown how the resulting computational grid is able to resolve geometrical details of complex study areas to pixel resolution and for any grid size. As an example, the performance of the proposed algorithm is tested to simulate a typical tidal flow in the San Francisco Bay and the Sacramento‐San Joaquin Delta area by using an extreme subgrid resolution given by a digital elevation model containing 196 000 000 pixels with 10 m pixel size.

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“…For spatial discretisations, WD procedures were first applied to structured meshes [4,23], with updates to include non-hydrostatic corrections [25], baroclinic solvers [17] and recently subgrid information [6,7,26,27] to include higher resolution bathymetry and flux calculations.…”

Section: Introductionmentioning

confidence: 99%

An implicit wetting and drying approach for non-hydrostatic baroclinic flows in high aspect ratio domains

Candy

2017

Advances in Water Resources

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A new approach to modelling free surface flows is developed that enables, for the first time, 3D consistent non-hydrostatic baroclinic physics that wets and dries in the large aspect ratio spatial domains that characterise geophysical systems. This is key in the integration of physical models to permit seamless simulation in a single consistent arbitrarily unstructured multiscale and multi-physics dynamical model. A high order continuum representation is achieved through a general Galerkin finite element formulation that guarantees local and global mass conservation, and consistent tracer advection. A flexible spatial discretisation permits conforming domain bounds and a variable spatial resolution, whilst atypical use of fully implicit time integration ensures computational efficiency. Notably this brings the natural inclusion of nonhydrostatic baroclinic physics and a consideration of vertical inertia to flood modelling in the full 3D domain. This has application in improving modelling of inundation processes in geophysical domains, where dynamics proceeds over a large range of horizontal extents relative to vertical resolution, such as in the evolution of a tsunami, or in urban environments containing complex geometric structures at a range of scales.

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A subgrid based approach for morphodynamic modelling

Cited by 14 publications

References 37 publications

Hydraulic modelling approaches to decrease uncertainty in flood frequency relations

Hydraulic modelling approaches to decrease uncertainty in flood frequency relations

Computational grid, subgrid, and pixels

An implicit wetting and drying approach for non-hydrostatic baroclinic flows in high aspect ratio domains

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