Reduction in wave shoaling over a linear transition bottom using a porous medium
Wave shoaling, which involves an increase in wave amplitude due to changes in water depth, can damage shorelines. To mitigate this damage, we propose using porous structures such as mangrove forests. In this study, we use a mathematical model to examine how mangroves, acting as porous breakwater, ca...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-01-01
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| Series: | Theoretical and Applied Mechanics Letters |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2095034924000679 |
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| author | Ikha Magdalena Ivan Jonathan Kristianto Hany Q. Rif'atin Amila Sandaruwan Ratnayake Cherdvong Saengsupavanich I. Solekhudin M. Helmi |
| author_facet | Ikha Magdalena Ivan Jonathan Kristianto Hany Q. Rif'atin Amila Sandaruwan Ratnayake Cherdvong Saengsupavanich I. Solekhudin M. Helmi |
| author_sort | Ikha Magdalena |
| collection | DOAJ |
| description | Wave shoaling, which involves an increase in wave amplitude due to changes in water depth, can damage shorelines. To mitigate this damage, we propose using porous structures such as mangrove forests. In this study, we use a mathematical model to examine how mangroves, acting as porous breakwater, can reduce wave shoaling amplitude. The shallow water equations are used as the governing equations and are modified to account for the presence of porous media. To measure the wave reduction generated by the porous media, the wave transmission coefficient is estimated using analytical and numerical approaches. The separation of variables method and the staggered finite volume method are utilized for each approach, respectively. The numerical results are then validated against the previously obtained analytical solutions. We then vary the friction and porosity parameters—determined by the presence and extent of porous media, to evaluate their effectiveness in reducing wave shoaling. |
| format | Article |
| id | doaj-art-351a196bedbb46bfa4860a7f5ae0e854 |
| institution | Kabale University |
| issn | 2095-0349 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Theoretical and Applied Mechanics Letters |
| spelling | doaj-art-351a196bedbb46bfa4860a7f5ae0e8542024-11-28T04:34:30ZengElsevierTheoretical and Applied Mechanics Letters2095-03492025-01-01151100556Reduction in wave shoaling over a linear transition bottom using a porous mediumIkha Magdalena0Ivan Jonathan Kristianto1Hany Q. Rif'atin2Amila Sandaruwan Ratnayake3Cherdvong Saengsupavanich4I. Solekhudin5M. Helmi6Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia; Center for Marine and Coastal Development, Bandung Institute of Technology, Bandung 40132, Indonesia; Center for Mathematical Modelling and Simulations, Bandung Institute of Technology, Bandung 40132, Indonesia; Corresponding author at: Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia.Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, IndonesiaCenter for Marine and Coastal Development, Bandung Institute of Technology, Bandung 40132, IndonesiaFaculty of Applied Sciences, Uva Wellassa University, Badulla 90000, Sri LankaFaculty of International Maritime Studies, Kasetsart University, Sri Racha Campus, Chonburi 20230, ThailandDepartment of Mathematics, Gadjah Mada University, Yogyakarta 55281, IndonesiaDepartment of Oceanography, Faculty of Fisheries and Marine Science, Universitas Diponegoro, Semarang 50275, IndonesiaWave shoaling, which involves an increase in wave amplitude due to changes in water depth, can damage shorelines. To mitigate this damage, we propose using porous structures such as mangrove forests. In this study, we use a mathematical model to examine how mangroves, acting as porous breakwater, can reduce wave shoaling amplitude. The shallow water equations are used as the governing equations and are modified to account for the presence of porous media. To measure the wave reduction generated by the porous media, the wave transmission coefficient is estimated using analytical and numerical approaches. The separation of variables method and the staggered finite volume method are utilized for each approach, respectively. The numerical results are then validated against the previously obtained analytical solutions. We then vary the friction and porosity parameters—determined by the presence and extent of porous media, to evaluate their effectiveness in reducing wave shoaling.http://www.sciencedirect.com/science/article/pii/S2095034924000679Wave shoalingPorous breakwaterLinear shallow water equationsWave transmission coefficientFinite volume method |
| spellingShingle | Ikha Magdalena Ivan Jonathan Kristianto Hany Q. Rif'atin Amila Sandaruwan Ratnayake Cherdvong Saengsupavanich I. Solekhudin M. Helmi Reduction in wave shoaling over a linear transition bottom using a porous medium Theoretical and Applied Mechanics Letters Wave shoaling Porous breakwater Linear shallow water equations Wave transmission coefficient Finite volume method |
| title | Reduction in wave shoaling over a linear transition bottom using a porous medium |
| title_full | Reduction in wave shoaling over a linear transition bottom using a porous medium |
| title_fullStr | Reduction in wave shoaling over a linear transition bottom using a porous medium |
| title_full_unstemmed | Reduction in wave shoaling over a linear transition bottom using a porous medium |
| title_short | Reduction in wave shoaling over a linear transition bottom using a porous medium |
| title_sort | reduction in wave shoaling over a linear transition bottom using a porous medium |
| topic | Wave shoaling Porous breakwater Linear shallow water equations Wave transmission coefficient Finite volume method |
| url | http://www.sciencedirect.com/science/article/pii/S2095034924000679 |
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