Please use this identifier to cite or link to this item: https://doi.org/10.1002/fld.716
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dc.titleA compact numerical algorithm for solving the time-dependent mild slope equation
dc.contributor.authorLin, P.
dc.date.accessioned2014-06-16T09:24:28Z
dc.date.available2014-06-16T09:24:28Z
dc.date.issued2004-06-30
dc.identifier.citationLin, P. (2004-06-30). A compact numerical algorithm for solving the time-dependent mild slope equation. International Journal for Numerical Methods in Fluids 45 (6) : 625-642. ScholarBank@NUS Repository. https://doi.org/10.1002/fld.716
dc.identifier.issn02712091
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/53960
dc.description.abstractThe mild slope equation has been widely used to describe combined wave refraction and diffraction. In this study, a new numerical algorithm is developed to solve the time-dependent mild slope equation in a second-order hyperbolic form. The numerical algorithm is based on a compact and explicit finite difference method that is second-order accurate in both time and space. The algorithm has the similar structure to the leap-frog method but is constructed on three time levels for the second-order time derivative term. The numerical model has the capability of simulating transient wave motion by correctly predicting the speed of wave energy propagation, which is important for the real-time forecast of the arrival time of storm waves generated in the far field. The model is validated against analytical solution for wave shoaling and experimental data for combined wave refraction and diffraction over a submerged elliptic shoal on a slope (Coastal Eng. 1982; 6:255). Lastly, the realistic scale Homma's island (Geophys. Mag. 1950; 21:199) is studied with the use of various wave periods of T = 720 s, T = 120 s, and T = 24 s. These wave periods correspond to long, intermediate, and short waves for the given topography, respectively. Comparisons are made between numerical results and existing analytical solutions in terms of the wave amplification around the island, which serves as the indicator for the potential wave runup. Excellent agreements are obtained. The model runs on a PC (Pentium IV 1.8GHz) and the computer capacity allows the computation of a mesh system up to 3000 × 3000, which is equivalent to about 150 × 150 waves or a large area of 540 km × 540 km for a wave train with the period of T - 60 s. © 2004 John Wiley and Sons, Ltd.
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1002/fld.716
dc.sourceScopus
dc.subjectCompact numerical algorithm
dc.subjectReal-time wave forecast
dc.subjectStorm wave simulation
dc.subjectTime-dependent mild slope equation
dc.subjectWave diffraction
dc.subjectWave refraction
dc.typeArticle
dc.contributor.departmentCIVIL ENGINEERING
dc.description.doi10.1002/fld.716
dc.description.sourcetitleInternational Journal for Numerical Methods in Fluids
dc.description.volume45
dc.description.issue6
dc.description.page625-642
dc.description.codenIJNFD
dc.identifier.isiut000221803800003
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