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
A NUMERICAL MODEL FOR THREE-DIMENSIONAL RUN-UP
โ Scribed by H. Johnsgard; G. Pedersen
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 349 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0271-2091
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โฆ Synopsis
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 reยฎnements and comparison with analytical solutions for run-up.
Results for a few cases with moderately complex geometries are presented. The run-up distribution on an idealized headland is computed and discussed in view of the involved physical mechanisms. Some cases involve a time-dependent bottom topography, corresponding to a moving slide penetrating the ยฏuid surface. The numerical solution procedure appears to be robust, unless wave breaking is encountered, and grid reยฎnement tests show fast convergence once the scales in the problems are resolved.
The presented work has been carried out under the GITEC and GITEC-TWO projects that have been funded by the European Commission, under the contracts EVCV-CT92-0175, ENV4-U96-0297, and by the
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