Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed
Wave energy is a kind of renewable and clean energy. When waves meet the breakwaters, wave energy reflection will happen. In this paper, the modified mild slope equation for waves propagating over the permeable seabed is introduced, and the finite difference model to solve the equation is set up. Th...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-09-01
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| Series: | Energy Reports |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2352484722007247 |
| _version_ | 1797988678228770816 |
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| author | Qian Gong Ming-Tao Jiang Cong-Li Pang Xi-Jiang Zhang Xiang-Yu Chen Yun-Lin Ni |
| author_facet | Qian Gong Ming-Tao Jiang Cong-Li Pang Xi-Jiang Zhang Xiang-Yu Chen Yun-Lin Ni |
| author_sort | Qian Gong |
| collection | DOAJ |
| description | Wave energy is a kind of renewable and clean energy. When waves meet the breakwaters, wave energy reflection will happen. In this paper, the modified mild slope equation for waves propagating over the permeable seabed is introduced, and the finite difference model to solve the equation is set up. The accuracy and applicability of the model is verified with Zeng et al’s analytical solution for wave reflection by the rectangular Bragg breakwaters on the impermeable seabed. Furthermore, in case of a permeable seabed, the effects of the seabed permeability, the bar width, the bar number and the submergence of the bars on wave reflection coefficient, as well as the difference with the case of an impermeable seabed, is studies in details. The results show the reflection coefficient of the Bragg resonant reflection increases with the increase in the bar number, but decreases with the increase in the seabed permeability and the submergence of the bars. When the bar number increases from 1 to 8, the Bragg resonance reflection coefficient increases from 0.146 to 0.772. When the permeability parameter of the seabed increases from 0.005 s to 0.03 s, the coefficient decreases from 0.403 to 0.347. When the bar submergence increases from 0.5 to 0.875, the coefficient decreases from 0.842 to 0.195. Moreover, there exists a particular value of the bar width, that is half of the distance between two adjacent rectangular bars that maximizes the wave energy reflection. |
| first_indexed | 2024-04-11T08:06:50Z |
| format | Article |
| id | doaj.art-5450850ebf134aef9bef0c4030126936 |
| institution | Directory Open Access Journal |
| issn | 2352-4847 |
| language | English |
| last_indexed | 2024-04-11T08:06:50Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Energy Reports |
| spelling | doaj.art-5450850ebf134aef9bef0c40301269362022-12-22T04:35:29ZengElsevierEnergy Reports2352-48472022-09-018566573Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabedQian Gong0Ming-Tao Jiang1Cong-Li Pang2Xi-Jiang Zhang3Xiang-Yu Chen4Yun-Lin Ni5College of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, ChinaSchool of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China; Corresponding author.College of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, ChinaCollege of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, ChinaCollege of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, ChinaCollege of Marine Engineering Equipment, Zhejiang Ocean University, Zhoushan, 316022, Zhejiang, ChinaWave energy is a kind of renewable and clean energy. When waves meet the breakwaters, wave energy reflection will happen. In this paper, the modified mild slope equation for waves propagating over the permeable seabed is introduced, and the finite difference model to solve the equation is set up. The accuracy and applicability of the model is verified with Zeng et al’s analytical solution for wave reflection by the rectangular Bragg breakwaters on the impermeable seabed. Furthermore, in case of a permeable seabed, the effects of the seabed permeability, the bar width, the bar number and the submergence of the bars on wave reflection coefficient, as well as the difference with the case of an impermeable seabed, is studies in details. The results show the reflection coefficient of the Bragg resonant reflection increases with the increase in the bar number, but decreases with the increase in the seabed permeability and the submergence of the bars. When the bar number increases from 1 to 8, the Bragg resonance reflection coefficient increases from 0.146 to 0.772. When the permeability parameter of the seabed increases from 0.005 s to 0.03 s, the coefficient decreases from 0.403 to 0.347. When the bar submergence increases from 0.5 to 0.875, the coefficient decreases from 0.842 to 0.195. Moreover, there exists a particular value of the bar width, that is half of the distance between two adjacent rectangular bars that maximizes the wave energy reflection.http://www.sciencedirect.com/science/article/pii/S2352484722007247Bragg breakwaterBragg resonant reflectionModified mild slope equationWave energyFinite difference method |
| spellingShingle | Qian Gong Ming-Tao Jiang Cong-Li Pang Xi-Jiang Zhang Xiang-Yu Chen Yun-Lin Ni Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed Energy Reports Bragg breakwater Bragg resonant reflection Modified mild slope equation Wave energy Finite difference method |
| title | Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed |
| title_full | Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed |
| title_fullStr | Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed |
| title_full_unstemmed | Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed |
| title_short | Wave energy reflection by the Bragg breakwater composed of rectangular bars on the horizontal permeable seabed |
| title_sort | wave energy reflection by the bragg breakwater composed of rectangular bars on the horizontal permeable seabed |
| topic | Bragg breakwater Bragg resonant reflection Modified mild slope equation Wave energy Finite difference method |
| url | http://www.sciencedirect.com/science/article/pii/S2352484722007247 |
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