Numerical modelling of surface water wave interaction with a moving wall

Gayaz Khakimzyanov, Denys Dutykh

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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.

Original languageBritish English
Pages (from-to)1289-1354
Number of pages66
JournalCommunications in Computational Physics
Issue number5
StatePublished - 2018


  • Full Euler equations
  • Movable wall
  • Wave damping
  • Wave energy extraction
  • Wave run-up
  • Wave/body interaction


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