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A general adaptive multi-resolution approach to ocean modelling: experiments in a primitive equation model of the north Atlantic

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Adaptive Mesh Refinement - Theory and Applications

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 41))

Summary

Following the work of [BD99], the present paper presents a general approach to adaptive mesh refinement for ocean models. The numerical procedure is briefly described, as well as a software package which easily allows for the actual implementation of multiresolution within any existing finite difference model. The effectiveness of this approach for ocean modelling, even at a basin-scale, is illustrated in the context of a primitive equation numerical model of the north Atlantic. Several experiments are presented, which demonstrate the potentialities of mesh refinement and emphasize the role of the refinement criterion.

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References

  1. Berger, M., Oliger, J.: Adaptive mesh refinement for hyperbolic partial differential equations, J. Comp. Phys., 53, 484–512 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  2. Berger, M., Colella, P.: Local adaptive mesh refinement for shock hydrodynamics, J. Comp. Phys., 82, 64–84 (1989)

    Article  MATH  Google Scholar 

  3. Berger, M., Rigoutsos, I.: An algorithm for point clustering and grid generation, IEEE Trans. on Systems Man and Cybernetics, 21, 1278–1286 (1991)

    Article  Google Scholar 

  4. Blayo, E., Debreu L.: Adaptive mesh refinement for finite difference ocean models: first experiments, J. Phys. Oceanogr., 29, 1239–1250 (1999)

    Article  Google Scholar 

  5. Debreu, L., Blayo, E.: AGRIF: Adaptive Grid Refinement in Fortran, INRIA Technical Report, RT-0262, (2002) [Available online http://www.inria.fr/rrrt/rt-0262.html].

    Google Scholar 

  6. Delcayre, F.: Etude par simulation des grandes échelles d’un écoulement décollé: la marche descendante, PhD thesis, Institut National Polytechnique de Grenoble, (1999).

    Google Scholar 

  7. Fox, A.D., Maskell, S.J.: Two-way interactive nesting of primitive equation ocean models with topography, J. Phys. Oceanogr., 25, 2977–2996 (1995)

    Article  Google Scholar 

  8. Fox, A.D., Maskell S.J.: A nested primitive equation model of the Iceland-Faeroe front, J. Geophys. Res., 101, 18259–18278 (1996)

    Article  Google Scholar 

  9. Ginis, I., Richardson, R., Rothstein, L.M.: Design of a multiply nested primitive equation ocean model, Month. Weath. Rev., 126, 1054–1079 (1998)

    Article  Google Scholar 

  10. Guo, X., Hukuda, H., Miyazawa, Y., Yamagata, T.: A Triply Nested Ocean Model for Simulating the Kuroshio-Roles of Horizontal Resolution on JEBAR, J. Phys. Oceanogr., 33,1, 146–169 2003

    Article  Google Scholar 

  11. Hunt, J.C.R., Wray, A.A., Moin, P.: Eddies, stream and convergence zones in turbulent flows, Center for Turbulence Research report, CTR-S88:193. (1998)

    Google Scholar 

  12. Laugier, M., Angot, P., Mortier L.: Nested grid methods for an ocean model: a comparative study, Int. J. Num. Meth. Fluids, 23, 1163–1195 (1996)

    Article  MATH  Google Scholar 

  13. Madec, G., Delecluse, P., Imbard, M., Levy, C.: OPA release 8.1, Ocean General Circulation Model reference manual, Internal report, LODYC/IPSL, France (1999)

    Google Scholar 

  14. Oey, L.-Y., Chen, P.: A nested-grid ocean model with application to the simulation of meanders and eddies in the Norwegian coastal current, J. Geophys. Res., 97, 20063–20086 (1992)

    Google Scholar 

  15. Perkins, L., Smedstad, L.F., Blake, D.W., Heburn, G.W., Wallcraft, A.J.: A new nested boundary condition for a primitive equation ocean model, J. Geophys. Res., 102, 3483–3500 (1997)

    Article  Google Scholar 

  16. Perkins, L., Smedstad, L.F.: Scale-related aspects of nested finite difference ocean models, Theoret. Comput. Fluid Dyn., 10, 311–322 (1998)

    Article  MATH  Google Scholar 

  17. Rowley, C., Ginis, I.: Implementation of a mesh movement scheme in a multiply nested ocean model and its application to air-sea interaction studies, Month. Weath. Rev., 127, 1879–1896 (1999)

    Article  Google Scholar 

  18. Spall, M.A., Holland, W.R.: A nested primitive equation model for oceanic applications, J. Phys. Oceanogr., 21, 205–220 (1991)

    Article  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Laurent, D., Eric, B., Bernard, B. (2005). A general adaptive multi-resolution approach to ocean modelling: experiments in a primitive equation model of the north Atlantic. In: Plewa, T., Linde, T., Gregory Weirs, V. (eds) Adaptive Mesh Refinement - Theory and Applications. Lecture Notes in Computational Science and Engineering, vol 41. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27039-6_21

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