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IJAG International Journal of Advanced Geosciences E-ISSN 2311-7044

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

Authors and Affiliations

  • Mohammad A. Feizi Chekab Amirkabir University of Technology image/svg+xml
  • Parviz Ghadimi Amirkabir University of Technology, Iran
  • Hassan Ghassemi at Amirkabir University of Technology.

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Abstract

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.

Author Biographies

  • Mohammad A. Feizi Chekab, Amirkabir University of Technology
    Mr. Feizi Chekab is a Ph.D. Candidate at Amirkabir University of Technology,
  • Parviz Ghadimi, Amirkabir University of Technology, Iran
    Dr. Ghadimi is an Associate Professor of Hydromechanics and the Associate Chair of Education in the Dept. of Marine Technology at Amirkabir University of Technology.
  • Hassan Ghassemi, at Amirkabir University of Technology.
    Dr. Ghadimi is an Associate Professor of Hydromechanics and the Associate Chair of Education in the Dept. of Marine Technology at Amirkabir University of Technology.

References

[1] P. Ghadimi, M. A. Feizi Chekab, F. Safarzadeh Maleki. A novel approach to node distribution for 2D mesh generation and its application in marine and ocean engineering, Advances in Engineering Software 41 (2010) 1149–1159.

[2] Legrand. Delaunay mesh generation for an unstructured-grid ocean general circulation model. Ocean Modelling. v2. , 2000 17-28.

[3] S. C. Hagen, J. J. Westerink, R. L. Kolar, O. Horstmann. Two-dimensional, unstructured mesh generation for tidal models. Int. J. Numer. Meth. Fluids 2001; 35: 669–686.

[4] Bilgili A, Smith KW, Lynch DR. BatTri: a two-dimensional bathymetry-based unstructured triangular grid generator for finite element circulation modeling. Comput Geosci 2006, 32(5):632–42.

[5] Jones, J.E., Davies, A.M.. An intercomparison between finite difference and finite element (TELEMAC) approaches to modeling west coast of Britain tides. Ocean Dynamics, 2005, 55, 178–198.

View more references (19)

[6] Greenberg, D.A., Dupont, F., Lyard, F.H., Lynch, D.R. and Werner, F.E., 2007. Resolution issues in numerical models of oceanic and coastal circulation. Contonental Shelf Research, 27(9), pp. 1317-1343.

[7] Robins, Peter E. Application of a coastal model to simulate present and future inundation and aid coastal management. Journal of Coastal Conservation, 2010.

[8] Robins, Peter E. Morphological controls in sandy estuaries: the influence of tidal flats and bathymetry on sediment transport. Ocean Dynamics, 2010.

[9] Jones, J. E. Storm surge computations in estuarine and near-coastal regions: the Mersey estuary and Irish Sea area. Ocean Dynamics, 2009

[10] Jones, J. E. An inter-comparison of tidal solutions computed with a range of unstructured grid models of the Irish and Celtic Sea Regions. Ocean Dynamics, 2009.

[11] Jones, J. E. Storm surge computations for the west coast of Britain using a finite element model (TELEMAC). Ocean Dynamics, 2008.

[12] Jones, J. E. Influence of non-linear effects upon surge elevations along the west coast of Britain. Ocean Dynamics, 2007.

[13] Jones, J. E., Davies, A. M. On the modification of tides in shallow water regions by wind effects, J. Geophys., 2008, Res., 113.

[14] Aldridge, J. N. Modelling the distribution and growth of ‘problem’ green seaweed in the Medway estuary, UK. Hydrobiologia, 2009.

[15] Logutov, Oleg G. A multigrid methodology for assimilation of measurements into regional tidal models. Ocean Dynamics, 2008.

[16] Wolf, J. Coastal flooding: impacts of coupled wave–surge–tide models. Natural Hazards., 2008.

[17] Horsburgh, K. J. Impact of a Lisbon-type tsunami on the U.K. coastline and the implications for tsunami propagation over broad continental shelves. Journal of Geophysical Research, 2008, 113(c4).

[18] Le Bars Y., Lyard F., Jeandel C., Dardengo L., The AMANDES tidal model for the Amazon estuary and shelf, Ocean Modelling, Volume 31, Issues 3-4, 2010, Pages 132-149.

[19] Parrish, D. M. and Hagen, S. C. (), Incorporating spatially variable bottom stress and Coriolis force into 2D, a posteriori, unstructured mesh generation for shallow water models. International Journal for Numerical Methods in Fluids, 2009, 60: 237–261. doi: 10.1002/fld.1882.

[20] Hanert E., Walters R. A., Le Roux D. Y., Pietrzak J. D., A tale of two elements: and RT0, Ocean Modelling, Volume 28, Issues 1-3, The Sixth International Workshop on Unstructured Mesh Numerical Modelling of Coastal, Shelf and Ocean Flows, 2009, Pages 24-33.

[21] White L., Deleersnijder E., Legat V., A three-dimensional unstructured mesh finite element shallow-water model, with application to the flows around an island and in a wind-driven, elongated basin, Ocean Modelling, Volume 22, Issues 1-2, 2008, Pages 26-47.

[22] Hall P., Davies A. M. Internal tide modelling and the influence of wind effects, Continental Shelf Research, Volume 27, Issue 9, Recent Developments in Physical Oceanographic Modelling: Part IV, 15 May 2007, Pages 1357-1377.

[23] Davies A. M. , Jones J. E., Xing J. Modeling the influence of small-scale effects upon the larger scale: an oceanographic challenge , Volume 60, Number 4, 921-932.

[24] Kennett, D. J. and Kennett, J. P. Early State Formation in Southern Mesopotamia: Sea Levels, Shorelines, and Climate Change, The Journal of Island and Coastal Archaeology, 1:1, 67 – 99.www.caspianenvironment.org


How to Cite

Feizi Chekab, M. A., Ghadimi, P., & Ghassemi, H. (2013). The Dispersion Algorithm: Consideration of Bathymetry in 2D Mesh generation in Ocean Modeling. International Journal of Advanced Geosciences, 1(1), 1-12. https://doi.org/10.14419/ijag.v1i1.755