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A three dimensional boundary fitted coordinate hydrodynamic model part II: Testing and application of the model

Ein dreidimensionales hydrodynamisches Modell in randwert-angepaßten Koordinaten, Teil II: Erprobung und Nutzanwendung des Modells

Un modèle hydrodynamique tridimensionnel utilisant un système de coordonnées adapté aux frontières, 2ème Partie: Test et application du modèle

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Summary

A three dimensional boundary fitted coordinate hydrodynamic model for simulation of ocean currents is briefly described. The model is tested on simple test cases with tidal and atmospheric forcing and the results are compared with analytical solutions. Finally, the two-dimensional version of the model is applied for simulating tidal and storm surge elevation and currents on the Norwegian continental shelf. The simulation is carried out both for a coarse and fine grid. The simulated sea elevation and currents are compared with observations and model results from the operational model at the Norwegian Meteorological Institute.

Zusammenfassung

Ein dreidimensionales hydrodynamisches Modell in randwert-angepaßten Koordinaten zur Simulation von Strömung im Meer wird kurz beschrieben. Das Modell wird an einfachen Beispielen mit Gezeiten- und atmosphärischer Anregung getestet und die Ergebnisse werden mit analytischen Lösungen verglichen. Die zweidimensionale Version des Modells wird benutzt zur Berechnung von gezeiten- und sturmflutbedingten Wasserständen und Strömungen auf dem Norwegischen Festlandsockel. Die Simulation wird mit einer feinen und einer groben Gitterauflösung durchgeführt. Die berechneten Wasserstände und Strömungen werden mit Beobachtungen und Modellergebnissen des operationellen Modells des Norwegischen Meteorologischen Instituts verglichen.

Résumé

Un modèle hydrodynamique tri-dimensionnel utilisant un système de coordonées adapté aux frontières permettant la simulation des courants océaniques est brièvement décrit. Le modèle est testé sur des cas simples avec le forçage de la marée et de l'atmosphére. Les résultats sont comparés aux solutions analytiques. Enfin la version bi-dimensionnelle du modèle est appliquée à la simulation des élévations du niveau (surcotes) liées à l'onde de marée et aux ondes de tempête et à celle des courants sur le plateau continental norvégien. Cette simulation est réalisée à la fois pour une grille grossière et une grille fine. Les surcotes et les courants simulés sont comparés à des observations ainsi qu'aux résultats obtenus du modèle opérationnel de l'Institut de Météorologie Norvégien.

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References

  • Arakawa, A. and V. R. Lamb, 1977: Computational Design of the Basic Dynamical Process of the UCLA General Circulation Model. Methods in Computational Physics, Vol.17, Academic Press, 173–265.

    Google Scholar 

  • Chapman, D. C., 1985: Numerical Treatment of a Cross-Shelf Open boundaries in a Barotropic Coastal Ocean Model. J. of Phys. Oceanogr.15, 1060–1075.

    Article  Google Scholar 

  • Davies, A. M., 1976: A Numerical Model of the North Sea and its Use in Choosing Locations for the Deployment of Off-Shore Tide Gauges in the JONSDAP '76 Oceanographic Experiment. Dt. hydrogr. Z.29, 11–24.

    Article  Google Scholar 

  • Engedahl, H., B. Hackett, E. A. Martinsen and L. P. Røed, 1988: ODAP Current Modelling and Data Analysis Technical Report: Preparation and data analysis of the two-dimensional model. ODAP Report no. 102, Veritas Report no. 88-3202, Høvik, Norway.

  • Flather, R. A., 1981: Results from Model of the North East Atlantic relating to the Norwegian Coastal Current. Proceeding from the Norwegian Coastal Current Symposium, Geilo 9–12 September 1980. Editors R. Sætre and M. Mork. University of Bergen, 427–458.

  • Gjevik, B., 1988: Model Simulations of Tides and Shelf Waves along the Shelves of the Norwegian-Greenland-Barents Sea. To be published in Vol.1, CRC review, Journ., ed. by A. Davies.

  • Lynch, R. V. and W. G. Gray, 1978: Analytic Solutions for Computer Flow Model Testing, J. Hydraulics Div., Am. Soc. Civ. Eng.,104, 1409–1428.

    Google Scholar 

  • Madala, R. V. and S. A. Piacsek, 1977: A Semi-Implicit Numerical Model for Baroclinic Oceans, J. of Comput. Phys.,23, 167–178.

    Article  Google Scholar 

  • Martinsen, E. A., 1981: The Barotropic Current due to Strom Surges along the Coast of Norway. Proc. from the Norwegian Coastal Current Symposium, Geilo 9–12 Sept. 1980. Eds. R. Sætre and M. Mork, University of Bergen, 500–517.

  • Martinsen, E. A., B. Gjevik and L. P. Røed, 1979: A Numerical Model for Long Barotropic Waves and Storm Surges along the Western Coast of Norway. J. Phys. Oceanogr., Vol.9, 1126–1138.

    Article  Google Scholar 

  • Martinsen, E. A., H. Engedahl, M. Lystad, H. Sandnes, O. B. Kvamme and K. Gjesdal, 1987: Forecasting storm surge along the Norwegian Coast. Operational Results from 1985. ANODA report no. 24. The Norwegian Meteorological Institute, Oslo.

    Google Scholar 

  • Martinsen, E. A. and H. Engedahl, 1987: Implementation and Testing of a Lateral Boundary Scheme and a Pure Radiation Conditions at the Open Boundaries in a Barotropic Ocean Model. ANODA report no. 31. The Norwegian Meteorological Institute, Oslo.

    Google Scholar 

  • Mathisen, J. P. and Ø. Johansen, 1983: A Numerical Tidal and Storm Surge Model of the North Sea, Mar. Geod. Vol. 6, No. 3-4, 267–291.

    Article  Google Scholar 

  • Mathisen, J. P., 1984: A Two-Dimensional Numerical Model for the Norwegian Continental Shelf with fine Resolution in the Halten/Træna Area. ANODA report No. 6. Oceanographic Center, Trondheim, Norway.

    Google Scholar 

  • Mathisen, J. P., Ø. O. Jenssen, M. Spaulding and C. Swanson, 1987: A 3-Dimensional Numerical Model for Ocean Currents where the Horizontal Grid Spacing is varied using Boundary Fitted Coordinates. In proceedings on Modelling the Offshore Environment organized by Society for Underwater Technology, London 1–2 April, 295–304.

  • Pinder, G. F. and W. G. Gray, 1977: Finite Element Simulation in Surface and Subsurface Hydrology. Academic Press.

  • Schwiderski, E. W., 1980: Ocean Tides, Part I: Global Ocean Tidal Equations. Mar. Geod. Vol. 3. 161–225.

    Article  Google Scholar 

  • Spaulding, M. L., 1984: A Verically Averaged Circulation Model Using Boundary Fitted Coordinates, J. of Phys. Oceanog.14, 973–982.

    Article  Google Scholar 

  • Swanson, J. C., M. L. Spaulding, J. P. Mathisen and Ø. O. Jenssen, 1989: A Three Dimensional Boundary Fitted Coordinate Hydrodynamic Model, Part I: Development and Testing. Dt. hydrogr. Z.42, 3–6.

    Google Scholar 

  • Thompson, J. F., F. C. Thames and C. W. Mastin, 1974: Automatic Numerical Generation of Body-Fitted Curvilinear Coordinate Systems for Fields Containing Any Number of Arbitrary Two-Dimensional Bodies. J. Comput. Phys.15, 299–317.

    Article  Google Scholar 

  • Willemse, J. B. T. M., G. S. Stelling and G. K. Verboom, 1986: Solving the Shallow Water Equations with an Orthogonal Coordinate Transformation. Delft Communication No. 356. Presented at International Symposium on Continental Fluid Dynamics. Tokyo, Japan, September 9–12, 1986.

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Mathisen, JP., Jenssen, Ø.O., Utnes, T. et al. A three dimensional boundary fitted coordinate hydrodynamic model part II: Testing and application of the model. Deutsche Hydrographische Zeitschrift 42, 187–213 (1989). https://doi.org/10.1007/BF02226294

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