A Lagrangian ยฎnite difference model for non-dispersive (long) and fully non-linear surface waves is presented. The Lagrangian description enables the inclusion of run-up and back-wash at sloping shores. The numerical procedure has been veriยฎed through a series of tests, including systematic grid reยฎ
A numerical model for run-up of breaking waves
โ Scribed by H. Johnsgard
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 190 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0271-2091
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โฆ Synopsis
In the present paper, the numerical method for the three-dimensional run-up, given in Johnsgard and Pedersen ['A numerical model for three-dimensional run-up', Int. J. Numer. Methods Fluids, 24, 913 -931 (1997)], is extended to include wave breaking. In the fundamental problem of run-up of a uniform bore, the present model is compared with analytical solutions from the literature. The numerical solutions converge, but very slowly. This is not due to the numerical model, but rather to the structure of the solutions themselves. Numerical results for two realistic but simplified tsunami cases are also presented. In the first case, two-dimensional simulations are performed concerning the run-up of a tsunami in Portugal, in the second case, the three dimensional wave pattern generated after a slide in Tafjord, Norway in 1931, is studied. A discussion of different aspects of the model is summarized at the end of the paper.
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