Water Engineering Research

Korea Water Resources Association (한국수자원학회)
권호 표지

LOCALLY ENRICHED QUADTREE GRID NUMERICAL MODEL FOR NEARSHORE CIRCULATION IN THE SURF ZONE

  • Park, Koo-Yong (University of Oxford, Park Road, Oxford, United Kingdom)
  • Published : 2000.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

This paper describes an adaptive quadtree-based 2DH wave-current interaction model which is able to predict wave breaking, shoaling, refraction, diffraction, wave-current interaction, set-up and set-down, mixing processes (turbulent diffusion), bottom frictional effects, and movement of the land-water interface at the shoreline. The wave period-and depth-averaged governing equations are discretised explictly by means of an Adams-Bashforth second-order finite difference technaique on adaptive hierarchical staggered quadtree grids. Grid adaptation is achieved through seeding points distributed according to flow criteria(e.g. local current gradients). Results are presented for nearshore circulation at a sinusoidal beach. Enrichment permits refined modelling of important localised flow features.

Keywords

References

  1. Birkemeier, W.A. and Dalrymple, R.A. (1976) 'Nearshore water-circulation induced by wind and waves', Proc. of the Sym. on Modelling Tech., ASCE, pp.1062-1081
  2. Borthwick, A.G.L., Foote, Y.L.M. and Ridehalgh, A. (1997) 'Nearshore measurements at a cusped beach in the U.K. Coastal Research Facility', Coastal Dynamics '97, Plymouth, pp.953-962
  3. da Silva Lima, S.S.L. (1981) 'Wave-induced Nearshore Currents', Ph.D. Thesis, Department of Civil Engineering, University of Liverpool
  4. Ebersole, B.A. and Dalrymple, R.A. (1980) 'Numerical modelling of nearshore circulation', Proc. 17th Conf. on Coastal Eng, ASCE, 4, 2710-2725
  5. Greaves, D.M., and Borthwick, A.G.L. (1999) 'Hierarchical tree-based finite element mesh generation', Int. J. for Numer. Methods in Engineering, 45, pp.447-471
  6. Hunt, J.N. (1979), 'Direct solution of wave dispersion equation', Journal of Waterways, Ports, Coastal Ocean Engineering, ASCE, Vol. 105, No. WW4, pp. 457-459
  7. Komar, P.D. (1998) Beach Processes and Sedimentation, 2nd Ed.. Prentice Hall, New Jersey
  8. Noda, E.K. (1974) 'Wave-induced nearshore circulation', J. Geophys. Res., 79(27), pp.4097-4106
  9. Samet, H. (1982) Neighbour Finding Techniques for Images Represented by Quadtrees Data Structures, Computer Graphics and Image Processing, Vol. 18, pp. 37-57 https://doi.org/10.1016/0146-664X(82)90098-3
  10. Shi, F., Sun, W. and Wei, G. (1997) 'A WDM method on a generalized curvilinear grid for calculation of storm surge flooding', Applied Ocean Res., Vol. 19, pp. 275-282 https://doi.org/10.1016/S0141-1187(97)00030-8
  11. US-CERC (1984), Shore Protection Manual, Coastal Engineering Research Center, Corps of Engineers, Vol. 1,2, Government Printing Office
  12. Yiu, K.F.C., Greaves, D,M., Cruz, S, Saalehi, A. and Borthwick, A.G.L. (1996) 'Quadtree grid generation: Information handling, boundary fitting and CFD applications', Computer & Fluids, 25(8), pp.759-769 https://doi.org/10.1016/S0045-7930(96)00029-1
  13. Yoo, D., and O'Connor, B.A. (1986) 'Mathematical modelling of wave-induced nearshore circulations', Proc. 20th International Conference on Coastal Engineering, ASCE, pp.l667-1681