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- Title
Analytical and Numerical Studies of Resonant Wave Run-up on a Plane Beach.
- Authors
Erwina, N.; Erianto, E. S.; Pudjaprasetya, S. R.
- Abstract
Wave run up is the vertical extent of wave up rushed on a beach. In the case of monochromatic wave run-up, it was a common belief that the leading wave will reach the maximum run-up. However, this is not always the case, when the incident wave is of normal mode frequency, resonance phenomena might appear. In this article, the normal mode frequency of a semi-enclosed basin on a plane beach is derived using the variable separation technique. Simulation results demonstrate that when the incoming wave frequency is close to the normal mode frequency, the largest run-up height is not the leading wave, but the second, third or fourth waves, which indicates the occurrence of resonance phenomena. Sensitivity analysis was applied to show the dependence of the maximum run-up height to the beach slope, as well as the incident wave frequency. Further, a simulation using a real bathymetry was conducted to examine whether the resonance phenomenon appears in the actual tsunami events.
- Subjects
PLANE wavefronts; BEACHES; SEPARATION of variables; RESONANCE; SENSITIVITY analysis; TSUNAMIS
- Publication
Malaysian Journal of Mathematical Sciences, 2019, Vol 13, Issue 3, p345
- ISSN
1823-8343
- Publication type
Article