Numerical modelling of surface water wave interaction with a moving wall

Gayaz Khakimzyanov; Denys Dutykh

doi:10.4208/CICP.OA-2017-0110

Numerical modelling of surface water wave interaction with a moving wall

Gayaz Khakimzyanov, Denys Dutykh

Mathematics

Academy of Sciences

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	British English
Pages (from-to)	1289-1354
Number of pages	66
Journal	Communications in Computational Physics
Volume	23
Issue number	5
DOIs	https://doi.org/10.4208/CICP.OA-2017-0110
State	Published - 2018

Keywords

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

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10.4208/CICP.OA-2017-0110

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title = "Numerical modelling of surface water wave interaction with a moving wall",

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 = "Full Euler equations, Movable wall, Wave damping, Wave energy extraction, Wave run-up, Wave/body interaction",

author = "Gayaz Khakimzyanov and Denys Dutykh",

note = "Funding Information: This research was supported by RSCF project No. 14-17-00219. D. Dutykh acknowledges the support of the CNRS under the PEPS InPhyNiTi project FARA and project No. EDC26179 — {"}Wave interaction with an obstacle{"} as well as the hospitality of the Institute of Computational Technologies SB RAS during his visit in October 2015. D. Dutykh would like to acknowledge the help of his colleague Tom Hirschowitz who timely provided tea leaves in cases of emergency. Publisher Copyright: {\textcopyright} 2018 Global-Science Press",

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doi = "10.4208/CICP.OA-2017-0110",

language = "British English",

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AU - Khakimzyanov, Gayaz

AU - Dutykh, Denys

N1 - Funding Information: This research was supported by RSCF project No. 14-17-00219. D. Dutykh acknowledges the support of the CNRS under the PEPS InPhyNiTi project FARA and project No. EDC26179 — "Wave interaction with an obstacle" as well as the hospitality of the Institute of Computational Technologies SB RAS during his visit in October 2015. D. Dutykh would like to acknowledge the help of his colleague Tom Hirschowitz who timely provided tea leaves in cases of emergency. Publisher Copyright: © 2018 Global-Science Press

PY - 2018

Y1 - 2018

N2 - 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.

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.

KW - Full Euler equations

KW - Movable wall

KW - Wave damping

KW - Wave energy extraction

KW - Wave run-up

KW - Wave/body interaction

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U2 - 10.4208/CICP.OA-2017-0110

DO - 10.4208/CICP.OA-2017-0110

M3 - Article

AN - SCOPUS:85067621356

SN - 1815-2406

VL - 23

SP - 1289

EP - 1354

JO - Communications in Computational Physics

JF - Communications in Computational Physics

IS - 5

ER -

Numerical modelling of surface water wave interaction with a moving wall

Abstract

Keywords

UN SDGs

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