An inter-comparison of tidal solutions computed with a range of unstructured grid models of the Irish and Celtic Sea Regions

Jones, J. J.; Hall, Philip; Davies, Alan M.

doi:10.1007/s10236-009-0225-2

Cited by 12 publications

(8 citation statements)

References 36 publications

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“…The FV model gives a similar tidal distribution, although over the eastern Irish Sea the M 2 tidal amplitude is reduced by the order of about 30 cm below that found with the FE model and observed in the region. The M 2 tidal distribution found in the FV model is comparable with that found in a solution derived with the ADCIRC (FE) code (Jones et al 2009) and appears to be due to slightly enhanced damping that moves the amphidromic point off the east coast of Ireland and slightly farther north. In addition, there is a reduction in M 2 tidal amplitudes in the eastern Irish Sea (see Davies et al 2010 for a fuller discussion of tidal results from the FV model).…”

Section: Tide Only Calculationsupporting

confidence: 65%

“…Previous intercomparisons of a range of finite element models (Jones et al 2009) were concerned with the M 2 tide and non-linear effects giving rise to its higher harmonics. These intercomparisons showed that the generation of higher harmonics varied significantly between a range of finite element codes, using the same meshes, tidal forcing and water depths.…”

Section: Introductionmentioning

confidence: 99%

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Modelling tide–surge interaction effects using finite volume and finite element models of the Irish Sea

et al. 2011

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An unstructured mesh model of the west coast of Britain, covering the same domain and using topography and open boundary forcing that are identical to a previous validated uniform grid finite difference model of the region, is used to compare the performance of a finite volume (FV) and a finite element (FE) model of the area in determining tide-surge interaction in the region. Initial calculations show that although qualitatively both models give comparable tidal solutions in the region, comparison with observations shows that the FV model tends to underestimate tidal amplitudes and hence background tidal friction in the eastern Irish Sea. Storm surge elevations in the eastern Irish Sea due to westerly, northerly and southerly uniform wind stresses computed with the FV model tend to be slightly higher than those computed with the FE model, due to differences in background tidal friction. However, both models showed comparable nonlinear tide-surge interaction effects for all wind directions, suggesting that they can reproduce the extensive tide-surge interaction processes that occur in the eastern Irish Sea. Following on from this model comparison study, the physical processes contributing to surge generation and tide-surge interaction in the region are examined. Calculations are performed with uniform wind stresses from a range of directions, and the balance of various terms in the hydrodynamic equations is examined. A detailed comparison of the spatial variability of time series of nonlinear bottom friction and non-linear momentum advection terms at six adjacent nodes at two locations in water depths of 20 and 6 m showed some spatial variability from one node to another. This suggests that even in the near coastal region, where water depths are of the order of 6 m and the mesh is fine (of order 0.5 km), there is significant spatial variability in the non-linear terms. In addition, distributions of maximum bed stress due to tides and wind forcing in nearshore regions show appreciable spatial variability. This suggests that intensive measurement campaigns and very high-resolution mesh models are required to validate and reproduce the non-linear processes that occur in these regions and to predict extreme bed stresses that can give rise to sediment movement. High-resolution meshes will also be required in pollution transport problems.

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Section: Tide Only Calculationsupporting

confidence: 65%

Section: Introductionmentioning

confidence: 99%

Modelling tide–surge interaction effects using finite volume and finite element models of the Irish Sea

et al. 2011

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“…Hilbre, Conwy, the three tide gauges Y,Z and AA in close proximity to each other and located near Barrow (Fig 1c), and at Morecambe (BB) and Fleetwood (CC). As shown by Jones et al (2009) although the mesh has high resolution in these areas, namely a mesh length of order 500m, this is not sufficient to accurately resolve the M 2 tidal variations that occur over very short distances (less than 500m) in these coastal regions. This lack of resolution suggests that in order to improve the accuracy of the M 2 tide in these regions, a higher mesh resolution is required.…”

Section: Hydrodynamic Equations and Model Formulationsmentioning

confidence: 97%

A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

2011

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An unstructured mesh tidal model of the west coast of Britain, covering the Celtic Sea and Irish Sea is used to compare tidal distributions computed with finite element (F.E.) and finite volume (F.V.) models. Both models cover an identical region, use the same mesh, and have topography and tidal boundary forcing from a finite difference model that can reproduce the tides in the region. By this means solutions from both models can be compared without any bias towards one model or another. Two dimensional calculations show that for a given friction coefficient there is more damping in the F.V. model than the F.E. model. As bottom friction coefficient is reduced the two models show comparable changes in tidal distributions. In terms of mesh resolution, calculations show that for the M2 tide the mesh is sufficiently fine to yield an accurate solution over the whole domain. However in terms of higher harmonics of the tide, in particular the M6 component, its small scale variability in near shore regions which is comparable to the mesh of the model, suggests that the mesh resolution is insufficient in the near coastal regions. Even with a finer mesh in these areas, without detailed bottom topography and a spatial varying friction depending on bed types and bed forms, which is not available, model skill would probably not be improved. In addition in the near shore region, as shown in the literature, the solution is sensitive to the form of the wetting/drying algorithm used in the model. Calculations with a three dimensional version of the F.V. model show that for a given value of k, damping is reduced compared to the two dimensional version due to the differences in bed stress formulation, with the three dimensional model yielding an accurate tidal distribution over the region. (1) Description of models slightly enhanced. As a detailed description is given in published papers, these are cited, as we do not wish to repeat information. In addition since a functional form of the solution is given over each finite element or finite volume this can be used to interpolate solutions (e.g. water elevations) to any location. This point made in text. (2) It is made clear that the staircase representation of the coastline only relates to a certain class of finite difference model. (3) The k-0.003 calculations are mentioned "early on". (4) Possibility of lack of mesh resolution influencing solution of higher harmonics is discussed in context of the fact that this could also be influenced by "wetting and drying". Additional references added. (5) Abstract rephrased to suggest this, rather than claim that it has been shown. Similar in text. (6) Elaborated to show that in the near short region the amplitude of the higher harmonics changes very rapidly from one mesh element to another. A sure sign of a lack of spatial convergence. The confusion between temporal convergence, where iteration ensures that a converged solution does occur and spatial convergence is now clarified. (7) The realistic nature of these coefficients is c...

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“…After presenting these factors, the authors of this inspiring paper attempted to qualify and quantify the influence of each factor on the horizontal mesh resolution needed, for a more accurate modeling of the oceans. In recent years, the concept of relating the elements sizes to different physical factors has been widely used by many researchers [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Among the most important ones are works done by Robin et al, Jones, Horsburgh, Wolf, Parrish et al and White et al Robins et al [7,8], used this concept to simulate the water flows and sediments transport in coastal models.…”

Section: Introductionmentioning

confidence: 99%

“…Among the most important ones are works done by Robin et al, Jones, Horsburgh, Wolf, Parrish et al and White et al Robins et al [7,8], used this concept to simulate the water flows and sediments transport in coastal models. Jones [9][10][11][12][13] analyzed the flows and water behavior of the west coasts of Britain. Wolf [16] achieved a coastal flooding analysis by use of this concept.…”

Section: Introductionmentioning

confidence: 99%

The Dispersion Algorithm: Consideration of Bathymetry in 2D Mesh generation in Ocean Modeling

Chekab

Ghadimi

Ghassemi

2013

International Journal of Advanced Geosciences

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The Dispersion Algorithm has been further developed and improved to control locally the distribution of nodes in the computational domain. This improvement allows the user to take into consideration the effect of the bathymetry and other physical factors while maintaining the previous global capability of the original Dispersion Algorithm. It has been demonstrated that, by a simple adjustment of the value of the key parameter r(n) resulting in a new parameter R(n, x, y), any physical factor could be taken into account for the application of the proposed Algorithm in different fields of engineering. This concept has been explored to particularly include the bathymetry of the geometrical domain as an important physical factor in ocean modeling. The applicability and efficiency of the proposed algorithm has been demonstrated using various actual geometries. The bathymetry of the Persian Gulf, the Caspian Sea and the Gulf of Mexico have been successfully modeled, analyzed, and meshed by the algorithm.

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An inter-comparison of tidal solutions computed with a range of unstructured grid models of the Irish and Celtic Sea Regions

Cited by 12 publications

References 36 publications

Modelling tide–surge interaction effects using finite volume and finite element models of the Irish Sea

Modelling tide–surge interaction effects using finite volume and finite element models of the Irish Sea

A model study of tidal distributions in the Celtic and Irish Sea regions determined with finite volume and finite element models

The Dispersion Algorithm: Consideration of Bathymetry in 2D Mesh generation in Ocean Modeling

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