NUMERICAL APPROACH OF REGULAR WAVE DISSIPATION BY MANGROVE FOREST USING DISPERSIVE BOUSSINESQ MODEL
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boussinesq, finite volume, mangrove forest, regular wave
Abstract
Mangrove forest is one type of coastal forest that forming an ecosystem, in which its root system can dissipate waves, especially for coastal protection. Nevertheless, the effectiveness of mangrove forest for dissipating wave is still unclear, especially for short wave such as regular wave. The purpose of this research is to analyze the effectiveness of mangrove forest in dissipating regular wave by using numerical simulation approach. To simulate short waves accurately, one should choose a dispersive wave model. In this research, we choose a Boussinesq type of model, i.e. the Variational Boussinesq (VB) model as the wave model. Here, the Finite Volume method is chosen as the numerical implementation of model, in a staggered grid scheme. The dissipation process by the mangrove forest is modelled as a bottom dissipation that equivalent with a Manning’s coefficient that is derived from physical experiment. The resulting numerical implementation is then validated with experimental data from hydrodynamic laboratory which gives relatively accurate results. To analyze the effectiveness of dissipation by mangrove forest, we perform various simulation scenarios with various length of mangrove forest. From the results, it is shown that to obtain a 67% wave height dissipation of regular wave, we require at a mangrove forest with length as least 2 times the length incoming regular wave.
References
Adytia, D. & E. van Groesen. 2012. Optimized variational 1D boussinesq modelling of coastal wave propagation over a slope. Coastal Engineering, 64(12): 139–150. https://doi.org/10.1016/j.coastaleng.2012.02.001
Adytia, D., S. Husrin, & A.L. Latifah. 2019a. Dissipation of solitary wave due to mangrove forest: a numerical study by using non-dispersive wave model. Indonesian J. of Marine Sciences, 24(1): 41-50. http://doi.org/10.14710/ik.ijms.24.1.41-50
Adytia, D., S.R. Pudjaprasetya, & D. Tarwidi. 2019b. Modeling of wave run-up by using staggered grid scheme implementation in 1D Boussinesq model. Computational Geosciences, 23(4): 793–811. https://doi.org/10.1007/s10596-019-9821-5
Adytia, D., D. Tarwidi, & A.P.A, Hadna. 2019c. Momentum conservative scheme for simulating wave runup and underwater landslide. Indonesian J. on Computing, 4(1): 29-41. http://doi.org/10.21108/indojc.2019.4.1.250
Adytia, D., M.A. Fadhilah, & S.R. Pudjaprasetya. 2019d. Numerical simulation of solitary wave attenuation by vegetation with non-hydrostatic model. IOP J. of Physics: Conference Series, 1192(1): 1-7. http://doi.org/10.1088/1742-6596/1192/1/012039
Dahdouh-Guebas, F., L.P. Jayatissa, D. Di Nitto, J.O. Bosire, D. Lo Seen, & N. Koedam. 2005. How effective were mangroves as a defence against the recent tsunami?. Current Biology, 15(12): 443-447. https://doi.org/10.1016/j.cub.2005.06.008
Duncan, C., J.H. Primavera, N. Pettorelli, J.R. Thomson, R.J.A., Loma, & H.J. Koldewey. 2016. Rehabilitating mangrove ecosystem services: A case Study on the relative benefits of abandoned pond reversion from Panay Island, Philippines. Marine Pollution Bulletin, 109: 772-782.
Groesen, van E., D. Adytia, & Andonowati. 2008. Near-coast tsunami wave-guiding: phenomenon and simulations. National Hazards Earth System Science, 8(2): 175-185. https://doi.org/10.5194/nhess-8-175-2008
Husrin, S., A. Strusinka, & H. Oumeraci. 2012. Experimental study on tsunami attenuation by mangrove forest. Earth Planets Space, 64(10): 973-989. http://doi.org/10.5047/eps.2011.11.008
Huang, Z., Y. Yao, S.Y. Sim, & Y. Yao. 2011. Interaction of solitary waves with emergent, rigid vegetation. Ocean Engineering, 38(10): 1-8. https://doi.org/10.1016/j.oceaneng.2011.03.003
Ismail, H., A.K. Abd Wahab, & N.E, Alias. 2012. Determination of mangrove forest performance in reducing tsunami run-up using physical models. Natural Hazards, 63(2): 939-963. https://doi.org/10.1007/s11069-012-0200-y
Kathiresan, K. & N. Rajendran. 2005. Coastal mangrove forests mitigated tsunami. Estuarine, Coastal and Shelf Science, 65(3): 601-606. https://doi.org/10.1016/j.ecss.2005.06.022
Luke, J. 1967. A variational principle for a fluid with a free surface. J. of Fluid Mechanics, 27(2): 395-397. https://doi.org/10.1017/S0022112067000412
Lawrence, C., D. Adytia, & E. van Groesen. 2018. Variational boussinesq model for strongly nonlinear dispersive waves. Wave motion, 76: 78-102. https://doi.org/10.1016/j.wavemoti.2017.10.009
Morison, J.R., J.W. Johnson, & S.A. Schaaf. 1950. The force exerted by surface waves on piles. J. of Petroleum Technology, 2(05): 149-154. https://doi.org/10.2118/950149-G
Sihombing. 2018. Transformasi gelombang soliter oleh fleksibilitas vegetasi pantai. J. Teknik Sipil, 14(1): 1-103. https://doi.org/10.28932/jts.v14i1.1449
Stelling, G.S. & S.A. Duinmeijer. 2003. A staggered conservative scheme for every froude number in rapidly varied shallow water flows. International Journal for numerical methods in fluids, 43(12): 1329-1354. https://doi.org/10.1002/fld.537
Strusinska-Correia, A., S. Husrin, & H. Oumeraci. 2012. Tsunami damping by mangrove forest: a laboratory study using parameterized trees. Natural Hazards Earth System Science, 13: 483-503. http://doi.org/10.5194/nhess-13-483-2013
Wolansky, E. 2006. Thematic paper: Synthesis of the protective functions of coastal forests and trees against natural hazards. In: Braatz, S. et al. (ed.). Coastal protection in the aftermath of the Indian Ocean Tsunami. FAO Regional Office for Asia and The Pacific. Chapter 6: 161-184 pp.
Yanagisawa, H., S. Koshimura, K. Goto, T. Miyagi, F. Imamura, A. Ruangrassamee, & C. Tanavud. 2009. The reduction effects of mangrove forest on a tsunami based on field surveys at Pakarang Cape, Thailand and numerical analysis. Estuarine, Coastal and Shelf Science, 81(1): 27-37. https://doi.org/10.1016/j.ecss.2008.10.001
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