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Article

1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure

1
Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia
2
Center for Marine and Coastal Development, Bandung Institute of Technology, Bandung 40132, Indonesia
3
Faculty of Mathematics and Natural Sciences, Hasanuddin University, Makassar 90245, Indonesia
4
Faculty of Mathematics and Natural Sciences, Diponegoro University, Semarang 50275, Indonesia
*
Author to whom correspondence should be addressed.
Academic Editor: Sergey A. Karabasov
Received: 11 April 2021 / Revised: 15 May 2021 / Accepted: 20 May 2021 / Published: 7 June 2021
(This article belongs to the Section Computational Engineering)
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. View Full-Text
Keywords: shallow water equations; wave shoaling coefficient; finite volume methods shallow water equations; wave shoaling coefficient; finite volume methods
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MDPI and ACS Style

Magdalena, I.; Kusnowo, V.; Azis, M.I.; Widowati. 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure. Computation 2021, 9, 66. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9060066

AMA Style

Magdalena I, Kusnowo V, Azis MI, Widowati. 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure. Computation. 2021; 9(6):66. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9060066

Chicago/Turabian Style

Magdalena, Ikha, Vivianne Kusnowo, Moh. I. Azis, and Widowati. 2021. "1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure" Computation 9, no. 6: 66. https://0-doi-org.brum.beds.ac.uk/10.3390/computation9060066

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