ANZIAM J. 46(E) pp.C1017--C1034, 2005.

Evaluation of a nonlinear reef parametrisation for steady flows

Lance Bode

Luciano B. Mason
(Received 8 November 2004; revised 14 September 2005)

Abstract

Modelling ocean circulation in regions of high topographic complexity, notably around groups of reefs and islands, makes large demands on spatial resolution. This problem has largely been overcome by a parametrisation scheme in which the dynamics associated with flow around unresolved reefs and islands are represented by modified momentum equations on a relatively coarse grid. However, the performance of this scheme deteriorates at high velocities, due to the increasing importance of flow separation and eddy formation, processes that are excluded in the original scheme. We extend the earlier model to include a parametrisation of the nonlinear advective terms, and test the performance of the modified scheme in the case of steady flow.

Download to your computer

Authors

Lance Bode
School of Mathematical and Physical Sciences, James Cook University, Townsville, Australia. mailto:Lance.Bode@jcu.edu.au
Luciano B. Mason
School of Engineering, James Cook University, Townsville, Australia. Current address: Australian Maritime College, Maritime Way, Newnham, Australia

Published October 8, 2005. ISSN 1446-8735

References

  1. L. Bode and L. B. Mason. Application of an implicit hydrodynamic model over a range of spatial scales. In D. Stewart et al., editors, Computational Techniques and Applications: CTAC93, pages 112--121. World Scientific Press, 1994.
  2. L. Bode, L. B. Mason and J. H. Middleton. Reef parameterisation schemes with applications to tidal modelling. Prog. Oceanogr., 40:285--324, 1997. http://dx.doi.org/10.1016/S0079-6611(98)00006-8
  3. D. M. Burrage, C. R. Steinberg, L. B. Mason, and L. Bode Tidal corrections for Topex altimetry in the Coral Sea and Great Barrier Reef Lagoon: comparisons with long term tide gauge records. J. Geophys. Res., 3241, 2003. http://dx.doi.org/10.1029/2000JC000441
  4. T. A. Hardy, L. B. Mason and J. D. McConochie. A wave model for the Great Barrier Reef. Ocean Engng., 28:45--70, 2000. http://dx.doi.org/10.1016/S0029-8018(99)00057-8
  5. J. J. Dronkers. Tidal computations in rivers and coastal waters. North--Holland, 518 pp., 1964.
  6. S. M. Griffies. Fundamentals of ocean climate models. Princeton University Press, 518 pp., 2004. http://www.pupress.princeton.edu/titles/7797.html
  7. J. M. Huthnance. Flow across reefs or between islands, and effects on shelf-sea motion. Cont. Shelf Res., 4:709--731, 1985. http://dx.doi.org/10.1016/0278-4343(85)90038-X
  8. M. K. James, P. R. Armsworth, L. B. Mason and L. Bode. The structure of reef fish metapopulations: modelling larval dispersal and retention patterns. Proc. Roy. Soc. London, B269:2079--2086, 2002. http://dx.doi.org/10.1098/rspb.2002.2128
  9. E. J. Metzger and H. E. Hurlburt. Coupled dynamics of the South China Sea, the Sulu Sea, and the Pacific Ocean. J. Geophys. Res., 101:12331--12352, 1996. http://www.agu.org/pubs/crossref/1996.../95JC03861.shtml
  10. P. J. Roache. Computational fluid dynamics. Hermosa Publishers, 434 pp., 1972.
  11. P. Tkalich, W. C. Pang and P. Sundarambal. Hydrodynamics and eutrophication modeling for Singapore Straits. Proc. 7th workshop on ocean models for the APEC Region, Singapore, pages 5.1--5.9, 2002.
  12. L. J. Waterman. Numerical modelling: building the world ocean. Bull. Aust. Meteorol. Oceanogr. Soc., 11:112--116, 1998.
Copyright Austral. Mathematical Soc.; prepared October 8, 2005, from Bode.tex with anziamje.sty (v2.3h)