1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure
In this paper, we investigate wave attenuation caused by mangroves as a porous media. A 1-D mathematical model is derived by modifying the shallow water equations (SWEs). Two approaches are used to involve the existing of mangrove: friction term and diffusion term. The model will be solved analytica...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-06-01
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| Series: | Computation |
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| Online Access: | https://www.mdpi.com/2079-3197/9/6/66 |
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| author | Ikha Magdalena Vivianne Kusnowo Moh. Ivan Azis Widowati |
| author_facet | Ikha Magdalena Vivianne Kusnowo Moh. Ivan Azis Widowati |
| author_sort | Ikha Magdalena |
| collection | DOAJ |
| description | In this paper, we investigate wave attenuation caused by mangroves as a porous media. A 1-D mathematical model is derived by modifying the shallow water equations (SWEs). Two approaches are used to involve the existing of mangrove: friction term and diffusion term. The model will be solved analytically using the separation of variables method and numerically using a staggered finite volume method. From both methods, wave transmission coefficient will be obtained and used to observe the damping effect induced by the porous media. Several comparisons are shown to examine the accuracy and robustness of the derived numerical scheme. The results show that the friction coefficient, diffusion coefficient and vegetation’s length have a significant effect on the transmission coefficient. Moreover, numerical observation is extended to a 2-D SWEs, where we conduct a numerical simulation over a real bathymetry profile. The results from the 2-D numerical scheme will be validated using the data obtained from the field measurement which took place in Demak, Central Java, Indonesia. The results from this research will be beneficial to determine the characteristics of porous structures used for coastal protection. |
| first_indexed | 2024-03-10T10:38:40Z |
| format | Article |
| id | doaj.art-05d991be677b4e9eb9eca65de3374d4f |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-10T10:38:40Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-05d991be677b4e9eb9eca65de3374d4f2023-11-21T23:04:13ZengMDPI AGComputation2079-31972021-06-01966610.3390/computation90600661D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous StructureIkha Magdalena0Vivianne Kusnowo1Moh. Ivan Azis2Widowati3Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, IndonesiaFaculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, IndonesiaFaculty of Mathematics and Natural Sciences, Hasanuddin University, Makassar 90245, IndonesiaFaculty of Mathematics and Natural Sciences, Diponegoro University, Semarang 50275, IndonesiaIn this paper, we investigate wave attenuation caused by mangroves as a porous media. A 1-D mathematical model is derived by modifying the shallow water equations (SWEs). Two approaches are used to involve the existing of mangrove: friction term and diffusion term. The model will be solved analytically using the separation of variables method and numerically using a staggered finite volume method. From both methods, wave transmission coefficient will be obtained and used to observe the damping effect induced by the porous media. Several comparisons are shown to examine the accuracy and robustness of the derived numerical scheme. The results show that the friction coefficient, diffusion coefficient and vegetation’s length have a significant effect on the transmission coefficient. Moreover, numerical observation is extended to a 2-D SWEs, where we conduct a numerical simulation over a real bathymetry profile. The results from the 2-D numerical scheme will be validated using the data obtained from the field measurement which took place in Demak, Central Java, Indonesia. The results from this research will be beneficial to determine the characteristics of porous structures used for coastal protection.https://www.mdpi.com/2079-3197/9/6/66shallow water equationswave shoaling coefficientfinite volume methods |
| spellingShingle | Ikha Magdalena Vivianne Kusnowo Moh. Ivan Azis Widowati 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure Computation shallow water equations wave shoaling coefficient finite volume methods |
| title | 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure |
| title_full | 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure |
| title_fullStr | 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure |
| title_full_unstemmed | 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure |
| title_short | 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure |
| title_sort | 1d 2d numerical model for wave attenuation by mangroves as a porous structure |
| topic | shallow water equations wave shoaling coefficient finite volume methods |
| url | https://www.mdpi.com/2079-3197/9/6/66 |
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