Abstract : In the present manuscript, we consider the practical problem of wave interaction with a vertical wall. However, the novelty here consists in the fact that the wall can move horizontally due to a system of springs. The water wave evolution is described with the free surface potential flow model. Then, a semi-analytical numerical method is presented. It is based on a mapping technique and a finite difference scheme in the transformed domain. The idea is to pose the equations on a fixed domain. This method is thoroughly tested and validated in our study. By choosing specific values of spring parameters, this system can be used to damp (or in other words to extract the energy of) incident water waves.
https://hal.archives-ouvertes.fr/hal-01546833 Contributor : Denys DUTYKHConnect in order to contact the contributor Submitted on : Friday, May 4, 2018 - 6:45:24 PM Last modification on : Wednesday, November 3, 2021 - 6:57:24 AM Long-term archiving on: : Tuesday, September 25, 2018 - 9:21:47 AM
Gayaz Khakimzyanov, Denys Dutykh. Numerical modelling of surface water wave interaction with a moving wall. Communications in Computational Physics, Global Science Press, 2018, 23 (5), pp.1289-1354. ⟨10.4208/cicp.OA-2017-0110⟩. ⟨hal-01546833v2⟩