Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves

Based on the assumption of linear potential flow theory, the scattering problem of a composite breakwater placed in front of an impermeable back wall is theoretically investigated. The velocity potential in each subregion is found using the eigenfunction expansion method. The boundary conditions of...

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Main Authors: Jiaxiu Cao, Chao Wang, Zeping Wang
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/11/10/1878
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author Jiaxiu Cao
Chao Wang
Zeping Wang
author_facet Jiaxiu Cao
Chao Wang
Zeping Wang
author_sort Jiaxiu Cao
collection DOAJ
description Based on the assumption of linear potential flow theory, the scattering problem of a composite breakwater placed in front of an impermeable back wall is theoretically investigated. The velocity potential in each subregion is found using the eigenfunction expansion method. The boundary conditions of the porous region are treated using Darcy’s law. The semi-analytical solution of a composite breakwater placed in front of an impermeable back wall is then obtained based on the matching conditions of the boundaries of the different regions. The effects of different parameters on the wave loads and wave amplitudes are investigated. In addition, to better understand the performance of the composite breakwater, the scattering problem of the composite breakwater without considering an impermeable back wall is also investigated. The correctness of this theoretical model is verified by comparing the results with previous work. Based on the results of hydrodynamic calculations and analysis of various aspects of a composite breakwater placed in front of an impermeable back wall, the study of the effect of a composite breakwater placed in front of an impermeable back wall allows us to propose a long-term and cost-effective solution for the protection of various marine facilities from wave attacks.
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spelling doaj.art-1fd8e97275404bb09f01c5701bc522912023-11-19T16:57:59ZengMDPI AGJournal of Marine Science and Engineering2077-13122023-09-011110187810.3390/jmse11101878Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water WavesJiaxiu Cao0Chao Wang1Zeping Wang2College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaBased on the assumption of linear potential flow theory, the scattering problem of a composite breakwater placed in front of an impermeable back wall is theoretically investigated. The velocity potential in each subregion is found using the eigenfunction expansion method. The boundary conditions of the porous region are treated using Darcy’s law. The semi-analytical solution of a composite breakwater placed in front of an impermeable back wall is then obtained based on the matching conditions of the boundaries of the different regions. The effects of different parameters on the wave loads and wave amplitudes are investigated. In addition, to better understand the performance of the composite breakwater, the scattering problem of the composite breakwater without considering an impermeable back wall is also investigated. The correctness of this theoretical model is verified by comparing the results with previous work. Based on the results of hydrodynamic calculations and analysis of various aspects of a composite breakwater placed in front of an impermeable back wall, the study of the effect of a composite breakwater placed in front of an impermeable back wall allows us to propose a long-term and cost-effective solution for the protection of various marine facilities from wave attacks.https://www.mdpi.com/2077-1312/11/10/1878composite breakwaterporositywave scatteringhydrodynamic force
spellingShingle Jiaxiu Cao
Chao Wang
Zeping Wang
Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves
Journal of Marine Science and Engineering
composite breakwater
porosity
wave scattering
hydrodynamic force
title Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves
title_full Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves
title_fullStr Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves
title_full_unstemmed Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves
title_short Scattering Study of a Composite Breakwater Placed in Front of an Impermeable Back Wall under the Action of Water Waves
title_sort scattering study of a composite breakwater placed in front of an impermeable back wall under the action of water waves
topic composite breakwater
porosity
wave scattering
hydrodynamic force
url https://www.mdpi.com/2077-1312/11/10/1878
work_keys_str_mv AT jiaxiucao scatteringstudyofacompositebreakwaterplacedinfrontofanimpermeablebackwallundertheactionofwaterwaves
AT chaowang scatteringstudyofacompositebreakwaterplacedinfrontofanimpermeablebackwallundertheactionofwaterwaves
AT zepingwang scatteringstudyofacompositebreakwaterplacedinfrontofanimpermeablebackwallundertheactionofwaterwaves