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Volume 23, Issue 5
Numerical Modelling of Surface Water Wave Interaction with a Moving Wall

Gayaz Khakimzyanov & Denys Dutykh

DOI: 10.4208/cicp.OA-2017-0110

Commun. Comput. Phys., 23 (2018), pp. 1289-1354.

Published online: 2018-04

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  • 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.

  • Keywords

Wave/body interaction, full Euler equations, movable wall, wave run-up, wave damping, wave energy extraction.

  • AMS Subject Headings

76B15, 76B07, 76M20

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-23-1289, author = {Gayaz Khakimzyanov and Denys Dutykh}, title = {Numerical Modelling of Surface Water Wave Interaction with a Moving Wall}, journal = {Communications in Computational Physics}, year = {2018}, volume = {23}, number = {5}, pages = {1289--1354}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0110}, url = {http://global-sci.org/intro/article_detail/cicp/11218.html} }
TY - JOUR T1 - Numerical Modelling of Surface Water Wave Interaction with a Moving Wall AU - Gayaz Khakimzyanov & Denys Dutykh JO - Communications in Computational Physics VL - 5 SP - 1289 EP - 1354 PY - 2018 DA - 2018/04 SN - 23 DO - http://doi.org/10.4208/cicp.OA-2017-0110 UR - https://global-sci.org/intro/article_detail/cicp/11218.html KW - Wave/body interaction, full Euler equations, movable wall, wave run-up, wave damping, wave energy extraction. AB -

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.

Gayaz Khakimzyanov and Denys Dutykh. (2018). Numerical Modelling of Surface Water Wave Interaction with a Moving Wall. Communications in Computational Physics. 23 (5). 1289-1354. doi:10.4208/cicp.OA-2017-0110
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