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

Park, Koo-Yong

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

Water engineering research : international journal of KWRA, v.1 no.3, 2000년, pp.187 - 197

Park, Koo-Yong (University of Oxford, Park Road, Oxford, United Kingdom)

Abstract ▼ AI-Helper

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.

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문제 정의

This paper describes a period- and depthaveraged 2DH wave-current interaction numerical model based on adaptive quadtree grids. The governing equations are discretised spatially using finite differences with all variables cell-centered, except the wave number and depth-averaged velocity components which are located on cell mid-faces.
This paper has presented an adaptive quadtree grid based numerical model of wave-current interaction. The quadtree grid generator is fast, fiilly-automatic, reliable, and computationally efficient due to a linked-list technique which optimizes grid information handling.

제안 방법

The model predictions were compared with experimental data from da Silva Lima (1981). The predictions were convergent and achieved steady-state with periodic boundary conditions and incorporation of the non-linear advection term in the discre- tised momentum equation. The profile of wave height was very accurately predicted in comparison with experimental data.

대상 데이터

mid-depth. The computations are first performed on a 32 x 32 uniform mesh covering a domain of dimensions of 6, 4 m in the x-direction and 3.0968 m in the jedircction, with grid spacings Ay = 0.2 m and & 드 0.096775 m, To avoid numerical instability emanating from the discretised nonlinear advection terms, a time step of 0.005 s was used, well below the Courant limit, and the simulation undertaken until t = 100 s, with steady-state reached al about 50 s. The dimensionless constant in the Thornton formula, Mr-, and the bottom friction coefficient Q- are ramped down linearly from relatively high initial values to MT = 1.

이론/모형

The governing equations are discretised spatially using finite differences with all variables cell-centered, except the wave number and depth-averaged velocity components which are located on cell mid-faces. Time-dependent terms are integrated using an explicit Adams- Bashforth second-order scheme. Grid adaptation is achieved using seeding points located along shoreline boundaries and/or according to local wave amplitude and current gradient criteria.
Thornton's algebraic formula yields a reasonable distribution of eddy viscosity in the surf zone where the wave breaking is dominant, and so it is used herein. Wave energy dissipation by wave breaking is modeled using US-CERC's (1984) empirical breaking criterion which effectively limits the ratio of wave height to water depth.

참고문헌 (13)

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
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
da Silva Lima, S.S.L. (1981) 'Wave-induced Nearshore Currents', Ph.D. Thesis, Department of Civil Engineering, University of Liverpool
Ebersole, B.A. and Dalrymple, R.A. (1980) 'Numerical modelling of nearshore circulation', Proc. 17th Conf. on Coastal Eng, ASCE, 4, 2710-2725
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

상세보기
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
Komar, P.D. (1998) Beach Processes and Sedimentation, 2nd Ed.. Prentice Hall, New Jersey
Noda, E.K. (1974) 'Wave-induced nearshore circulation', J. Geophys. Res., 79(27), pp.4097-4106
Samet, H. (1982) Neighbour Finding Techniques for Images Represented by Quadtrees Data Structures, Computer Graphics and Image Processing, Vol. 18, pp. 37-57

상세보기
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

상세보기
US-CERC (1984), Shore Protection Manual, Coastal Engineering Research Center, Corps of Engineers, Vol. 1,2, Government Printing Office
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

상세보기
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

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

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

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