Generation of 2D water waves by moving bottom disturbances

Hayk Nersisyan, Denys Dutykh, Enrique Zuazua

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater object of a given shape which can be displaced according to a prescribed trajectory. We address the practical question of computing the wavemaker shape and trajectory generating a wave with prescribed characteristics. For the sake of simplicity, we model the hydrodynamics by a generalized forced Benjamin-Bona-Mahony equation. This practical problem is reformulated as a constrained non-linear optimization problem. Additional constraints are imposed in order to fulfil various practical design requirements. Finally, we present some numerical results in order to demonstrate the feasibility and performance of the proposed methodology.

Original languageBritish English
Pages (from-to)1235-1253
Number of pages19
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume80
Issue number4
DOIs
StatePublished - 7 May 2014

Keywords

  • BBM equation
  • moving bottom
  • optimization
  • wave generation

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