An unstructured finite-volume algorithm for predicting flow in rivers and estuaries

Sleigh, Andrew; Gaskell, Philip; Berzins, Martin; Wright, Nigel

doi:10.1016/s0045-7930(97)00071-6

Cited by 161 publications

(105 citation statements)

References 24 publications

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“…Spectral models, solving the wave action balance equation, are successfully used to reproduce wave generation and propagation in finite depth domains [14][15][16][17]. Through the conservation of the wave action density it is possible to take into account the effects of a current field superimposed on gravity waves, which modify their period and amplitude [18][19][20][21][22]; these changes result in additional hydrodynamic forces, related to the gradients of radiation stresses and bottom shear stresses, which in turn influence the flow field.…”

Section: Introductionmentioning

confidence: 99%

Lagoon Sediment Dynamics: A Coupled Model to Study a Medium-Term Silting of Tidal Channels

Petti

Bosa

Pascolo

2018

Water

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Abstract:The silting of tidal channels is a natural process that affects several shallow lagoons and makes it difficult to navigate, requiring regular maintenance interventions. This phenomenon is the result of the complex non-linear interaction between tidal currents and wave motion. In this work, the morphodynamic evolution of the Marano and Grado lagoon is investigated by means of a two-dimensional horizontal (2DH) morphological-hydrodynamic and a spectral coupled model. An innovative procedure to reproduce the overall bathymetric changes in the medium term and, in particular, the volumes deposited inside channels, is presented. An average year with a sequence of winds and tides acting over that time was reconstructed, carrying out cross correlation techniques and spectral analyses of measured data. The predicted morphological evolution matches the annual dredged volumes in the lagoon critical branches and shows the distribution of erosion and deposition of cohesive sediments according to spatially variable values of critical shear stress.

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Section: Introductionmentioning

confidence: 99%

Lagoon Sediment Dynamics: A Coupled Model to Study a Medium-Term Silting of Tidal Channels

Petti

Bosa

Pascolo

2018

Water

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“…The success of Godunov-type flood models can be attributed to approximate Riemann solvers [37,75] which are also embedded in discontinuous Galerkin finite element schemes [4,26,45] and Boussinesq models that account for non-hydrostatic flow effects [47]. Godunov-type models have generally assumed either a structured mesh of quadrilateral cells [3,13,29,35,42,86] or an unstructured mesh of triangular cells [7,15,41,70,84]. The latter mandates greater overhead to track the neighborhood of data around each cell, and makes it more challenging to compute gradients in the solution because data points do not fall on a regular grid [7,41], but the unstructured mesh is very appealing for the ease with which meshes can be generated and tailored to the unique geometry of application sites and the ability to locally refine the mesh around areas of interest [11,21,54,57,66,67,76].…”

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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“…A drying/wetting boundary method was introduced to improve the effectiveness and stability of computation [36,37]. Grids were assessed by drying depth threshold and wetting depth threshold before computation at each time step.…”

Section: Methods Of Drying/wetting Depth Boundarymentioning

confidence: 99%

Optimal Operation Research of Flood Retarding in Plain River Network Region

Zhu

Dong

Yang

et al. 2017

Water

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Abstract:The operation of flood retarding areas does not attract much attention, although they are important components of flood control systems. Poor operation of such areas restricts not only the socio-economic development of the flood retarding area, but also limits scientific flood control options. As the second-largest flood retarding area in China, with more than 2000 km 2 and 300 polders, the Hongze Lake vicinity was taken as a case study of graded flood retarding. A one and two-dimensional coupled hydrodynamic model was established to simulate flood routing in the Hongze Lake area. Fifteen different schemes involving different flood magnitudes and flood retarding operations were simulated. The results show that (1) having a flood retarding area is essential; and (2) the "graded flood retarding" scheme is superior to "no grading flood retarding" scheme; and (3) a "two-grade flood retarding" scheme is recommended.

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An unstructured finite-volume algorithm for predicting flow in rivers and estuaries

Cited by 161 publications

References 24 publications

Lagoon Sediment Dynamics: A Coupled Model to Study a Medium-Term Silting of Tidal Channels

Lagoon Sediment Dynamics: A Coupled Model to Study a Medium-Term Silting of Tidal Channels

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

Optimal Operation Research of Flood Retarding in Plain River Network Region

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