Wave Transmission by Rectangular Submerged Breakwaters
In this paper, we investigate the wave damping mechanism caused by the presence of submerged bars using the Shallow Water Equations (SWEs). We first solve these equations for the single bar case using separation of variables to obtain the analytical solution for the wave elevation over a rectangular...
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| Format: | Article |
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MDPI AG
2020-06-01
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| Series: | Computation |
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| Online Access: | https://www.mdpi.com/2079-3197/8/2/56 |
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| author | Ikha Magdalena Muh Fadhel Atras Leo Sembiring M. A. Nugroho Roi Solomon B. Labay Marian P. Roque |
| author_facet | Ikha Magdalena Muh Fadhel Atras Leo Sembiring M. A. Nugroho Roi Solomon B. Labay Marian P. Roque |
| author_sort | Ikha Magdalena |
| collection | DOAJ |
| description | In this paper, we investigate the wave damping mechanism caused by the presence of submerged bars using the Shallow Water Equations (SWEs). We first solve these equations for the single bar case using separation of variables to obtain the analytical solution for the wave elevation over a rectangular bar wave reflector with specific heights and lengths. From the analytical solution, we derive the wave reflection and transmission coefficients and determine the optimal height and length of the bar that would give the smallest transmission coefficient. We also measure the effectiveness of the bar by comparing the amplitude of the incoming wave before and after the wave passes the submerged bar, and extend the result to the case of n-submerged bars. We then construct a numerical scheme for the SWEs based on the finite volume method on a staggered grid to simulate the propagation of a monochromatic wave as it passes over a single submerged rectangular bar. For validation, we compare the transmission coefficient values obtained from the analytical solution, numerical scheme, and experimental data. The result of this paper may be useful in wave reflector engineering and design, particularly that of rectangle-shaped wave reflectors, as it can serve as a basis for designing bar wave reflectors that reduce wave amplitudes optimally. |
| first_indexed | 2024-03-10T19:16:29Z |
| format | Article |
| id | doaj.art-ea98fdd9fb394362b49b74f5365d2f72 |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-10T19:16:29Z |
| publishDate | 2020-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-ea98fdd9fb394362b49b74f5365d2f722023-11-20T03:22:10ZengMDPI AGComputation2079-31972020-06-01825610.3390/computation8020056Wave Transmission by Rectangular Submerged BreakwatersIkha Magdalena0Muh Fadhel Atras1Leo Sembiring2M. A. Nugroho3Roi Solomon B. Labay4Marian P. Roque5Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, IndonesiaFaculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung 40132, IndonesiaExperimental Station for Coastal Engineering, Ministry of Public Works and Housing, Buleleng Bali 81116, IndonesiaPT Witteveen Bos, Jakarta Selatan 12730, IndonesiaInstitute of Mathematics, University of the Philippines Diliman, Quezon City 1101, PhilippinesInstitute of Mathematics, University of the Philippines Diliman, Quezon City 1101, PhilippinesIn this paper, we investigate the wave damping mechanism caused by the presence of submerged bars using the Shallow Water Equations (SWEs). We first solve these equations for the single bar case using separation of variables to obtain the analytical solution for the wave elevation over a rectangular bar wave reflector with specific heights and lengths. From the analytical solution, we derive the wave reflection and transmission coefficients and determine the optimal height and length of the bar that would give the smallest transmission coefficient. We also measure the effectiveness of the bar by comparing the amplitude of the incoming wave before and after the wave passes the submerged bar, and extend the result to the case of n-submerged bars. We then construct a numerical scheme for the SWEs based on the finite volume method on a staggered grid to simulate the propagation of a monochromatic wave as it passes over a single submerged rectangular bar. For validation, we compare the transmission coefficient values obtained from the analytical solution, numerical scheme, and experimental data. The result of this paper may be useful in wave reflector engineering and design, particularly that of rectangle-shaped wave reflectors, as it can serve as a basis for designing bar wave reflectors that reduce wave amplitudes optimally.https://www.mdpi.com/2079-3197/8/2/56dampingShallow Water Equations (SWEs)submerged barwave transmission coefficient |
| spellingShingle | Ikha Magdalena Muh Fadhel Atras Leo Sembiring M. A. Nugroho Roi Solomon B. Labay Marian P. Roque Wave Transmission by Rectangular Submerged Breakwaters Computation damping Shallow Water Equations (SWEs) submerged bar wave transmission coefficient |
| title | Wave Transmission by Rectangular Submerged Breakwaters |
| title_full | Wave Transmission by Rectangular Submerged Breakwaters |
| title_fullStr | Wave Transmission by Rectangular Submerged Breakwaters |
| title_full_unstemmed | Wave Transmission by Rectangular Submerged Breakwaters |
| title_short | Wave Transmission by Rectangular Submerged Breakwaters |
| title_sort | wave transmission by rectangular submerged breakwaters |
| topic | damping Shallow Water Equations (SWEs) submerged bar wave transmission coefficient |
| url | https://www.mdpi.com/2079-3197/8/2/56 |
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