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Unstructured mesh generation for the western North Atlantic tidal model domain

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Abstract

This paper presents an a posteriori approach to unstructured mesh generation via a localized truncation error analysis and applies it to the western North Atlantic tidal (WNAT) model domain. The WNAT model domain encompasses the Gulf of Mexico, the Caribbean Sea and the North Atlantic Ocean east to the 60°W meridian. In this paper, we focus on the area surrounding the Bahamas. A bathymetric data set with fine resolution is employed in separate linear, harmonic simulations of shallow water tidal flow for seven different tidal-forcing constituents. Each set of simulation results is used to perform a truncation error analysis of a linear, harmonic form of the depth-averaged momentum equations for each of the different tidal-forcing frequencies. The process has been built upon successful research aiming to produce unstructured grids for large-scale domains that can be used in the accurate and efficient modelling of shallow water flow. The methodology described herein can also be transferred to other modelling applications.

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References

  1. Hagen SC (1998) Finite element grids based on a localized truncation error analysis. PhD dissertation, Department of Civil Engineering and Geological Sciences, University of Notre Dame, IN

  2. Hagen SC (2001) Estimation of the truncation error for the linearized, shallow water momentum equations. Eng Comput 17:354–362

    Article  MATH  Google Scholar 

  3. Hagen SC, Westerink JJ, Kolar RL (2000) One-dimensional finite element grids based on a localized truncation error analysis. Int J Num Meth Fluids 32:241–261

    Article  MATH  Google Scholar 

  4. Hagen SC, Westerink JJ, Kolar RL (2000) Two-dimensional, unstructured mesh generation for tidal models. Int J Num Meth Fluids 35:669–686

    Article  MATH  Google Scholar 

  5. Hagen SC, Horstman O, Bennett RJ (2002) An unstructured mesh generation algorithm for shallow water modeling. Int J Comput Fluid Dynam 16:83–91

    Article  MATH  Google Scholar 

  6. Hagen SC (2000) A posteriori assimilation of large gridded bathymetric data sets for shallow water modeling. In: Proceedings of the 4th International Conference on Hydroinformatics. International Association of Hydraulic Engineering and Research (IAHR), Cedar Rapids, IA (CD-ROM)

  7. Westerink JJ, Luettich RA, Muccino JC (1994) Modeling tides in the western North Atlantic using unstructured graded grids. Tellus 46A:178–199

    Google Scholar 

  8. Westerink JJ, Luettich RA, Blain CA, Hagen SC (1995) Surface elevation and circulation in continental margin waters. In: Carey GF (ed), Finite element modeling of environmental problems. Wiley, Chichester

  9. Parrish DM, Hagen SC (2001) Development of a tidal constituent database for the St. Johns River Water Management District. In: Edge BL (ed), Proceedings of the 4th International Symposium on Ocean wave measurement and analysis. American Society of Civil Engineers, San Francisco, 2–6 September 2001, vol 2, pp 1605–1614

  10. Luettich Jr, RA, Westerink JJ, Scheffner NW (1992) ADCIRC: an advanced three-dimensional circulation model for shelves, coasts and estuaries—Report 1. Technical Report DRP-92-6, Department of the Army, Washington, D.C.

  11. Westerink JJ, Blain CA, Luettich Jr, RA, Scheffner NW (1994) ADCIRC: an advanced three-dimensional circulation model for shelves, coasts and estuaries—Report 2. Technical Report DRP-92-6, Department of the Army, Washington, D.C.

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Correspondence to S. C. Hagen.

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Hagen, S.C., Parrish, D.M. Unstructured mesh generation for the western North Atlantic tidal model domain. Engineering with Computers 20, 136–146 (2004). https://doi.org/10.1007/s00366-004-0281-7

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  • DOI: https://doi.org/10.1007/s00366-004-0281-7

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