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Wave Interaction with an Emerged Porous Media

Wave Interaction with an Emerged Porous Media
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Year:    2014

Author:    I. Magdalena, S. R. Pudjaprasetya, L. H. Wiryanto

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 5 : pp. 680–692

Abstract

In this paper, we study wave interaction with an emerged porous media. The governing equation is shallow water equations with a friction term of the linearized Dupuit-Forcheimer's formula. From the continuity of surface and horizontal flux, we derived the wave reflection and transmission coefficient formulas. They are similar to the corresponding formulas of the submerged solid bar breakwater. We solve the equations numerically using finite volume method on a staggered grid. The numerical wave reduction in the porous media confirms the analytical wave transmission curve.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2014.5.s5

Advances in Applied Mathematics and Mechanics, Vol. 6 (2014), Iss. 5 : pp. 680–692

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Emerged porous media shallow water equation wave transmission coefficient wave reflection coefficient.

Author Details

I. Magdalena

S. R. Pudjaprasetya

L. H. Wiryanto

  1. Analytical and numerical studies for Seiches in a closed basin with bottom friction

    Magdalena, I. | Rif’atin, H.Q. | Matin, A. Mauditra A.

    Theoretical and Applied Mechanics Letters, Vol. 10 (2020), Iss. 6 P.429

    https://doi.org/10.1016/j.taml.2020.01.057 [Citations: 13]

  2. Numerical modelling of mangrove merged with seawall for investigating wave mitigation over flat topography

    Bunga, M S | Mustamiin, M | Magdalena, I | Erwina, N

    Journal of Physics: Conference Series, Vol. 1581 (2020), Iss. 1 P.012001

    https://doi.org/10.1088/1742-6596/1581/1/012001 [Citations: 1]
  3. Mathematical Modeling in Physical Sciences

    The Effectiveness of Submerged- Emerged Breakwaters: An Analytical and Numerical Study

    Magdalena, Ikha | Ferren, Vinsensia

    2024

    https://doi.org/10.1007/978-3-031-52965-8_48 [Citations: 0]

  4. Incident and reflected wave separation on wave propagation over breakwater

    Magdalena, I | Atras, M F

    Journal of Physics: Conference Series, Vol. 1751 (2021), Iss. 1 P.012003

    https://doi.org/10.1088/1742-6596/1751/1/012003 [Citations: 0]

  5. Analytical and numerical solution for wave reflection from a porous wave absorber

    Magdalena, Ikha | Roque, Marian P.

    Journal of Physics: Conference Series, Vol. 974 (2018), Iss. P.012042

    https://doi.org/10.1088/1742-6596/974/1/012042 [Citations: 2]

  6. Quantification of wave attenuation in mangroves in Manila Bay using nonlinear Shallow Water Equations

    Magdalena, Ikha | La’lang, Raynaldi | Mendoza, Renier

    Results in Applied Mathematics, Vol. 12 (2021), Iss. P.100191

    https://doi.org/10.1016/j.rinam.2021.100191 [Citations: 11]

  7. Optimal sinusoidal submerged breakwater for coastal protection

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    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2020 (MATHTECH 2020): Sustainable Development of Mathematics & Mathematics in Sustainability Revolution, (2021), P.020022

    https://doi.org/10.1063/5.0075708 [Citations: 3]

  8. Analytical and numerical studies for harbor oscillation in a semi-closed basin of various geometric shapes with porous media

    Magdalena, I. | Rif’atin, H.Q.

    Mathematics and Computers in Simulation, Vol. 170 (2020), Iss. P.351

    https://doi.org/10.1016/j.matcom.2019.10.020 [Citations: 12]

  9. Numerical Study for Unsteady Waves Generated by Flow over a Permeable Wavy Bed

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    Fluids, Vol. 7 (2021), Iss. 1 P.9

    https://doi.org/10.3390/fluids7010009 [Citations: 1]

  10. Shear waves in elastic medium with void pores welded between vertically inhomogeneous and anisotropic magnetoelastic semi-infinite media

    Gupta, Shishir | Ahmed, Mostaid | Pramanik, Abhijit

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    https://doi.org/10.1007/s11600-017-0012-2 [Citations: 4]

  11. Two layer shallow water equations for wave attenuation of a submerged porous breakwater

    Magdalena, Ikha | Marcela, Indriana | Karima, Nadhira | Jonathan, Gabriel | Harlan, Dhemi | Adityawan, M. Bagus

    Applied Mathematics and Computation, Vol. 454 (2023), Iss. P.128096

    https://doi.org/10.1016/j.amc.2023.128096 [Citations: 1]

  12. Aceh's tsunami wave evolution and its interaction with hybrid protection structure

    Magdalena, Ikha | Rif'atin, Hany Qoshirotur | Kongko, Widjo | Marta, Adnan Sandy Dwi | Khoirunnisa, Hanah | Nurwijayanti, Amalia | Farid, Mohammad

    Physics of Fluids, Vol. 36 (2024), Iss. 2

    https://doi.org/10.1063/5.0185672 [Citations: 1]
  13. Applied and Computational Mathematics

    Wave Attenuation by a Combination of Mangroves and Reefball

    Dewi, Rianda Kumala | Marcella, Indriana | Magdalena, Ikha

    2024

    https://doi.org/10.1007/978-981-97-2136-8_2 [Citations: 0]

  14. Wave damping by breakwater and mangrove for protecting shoreline

    Magdalena, I. | Karima, N. | Delfina, P. | Ferren, V.

    Results in Engineering, Vol. 16 (2022), Iss. P.100693

    https://doi.org/10.1016/j.rineng.2022.100693 [Citations: 6]

  15. Two layer model for n-emerged porous breakwater on a muddy bottom

    Magdalena, I. | Michael, L.

    Results in Applied Mathematics, Vol. 15 (2022), Iss. P.100290

    https://doi.org/10.1016/j.rinam.2022.100290 [Citations: 1]

  16. A Mathematical Model for Investigating The Resonance Phenomenon in Lakes

    Magdalena, I. | Karima, N. | Rif’atin, H.Q.

    Wave Motion, Vol. 100 (2021), Iss. P.102669

    https://doi.org/10.1016/j.wavemoti.2020.102669 [Citations: 6]

  17. Wave Transmission by Rectangular Submerged Breakwaters

    Magdalena, Ikha | Atras, Muh Fadhel | Sembiring, Leo | Nugroho, M. A. | Labay, Roi Solomon B. | Roque, Marian P.

    Computation, Vol. 8 (2020), Iss. 2 P.56

    https://doi.org/10.3390/computation8020056 [Citations: 17]

  18. Analytical and numerical studies for seiches in a closed basin with various geometric shapes of longitudinal section

    Magdalena, I. | Karima, N. | Rif'atin, H.Q.

    Theoretical and Applied Mechanics Letters, Vol. 11 (2021), Iss. 3 P.100246

    https://doi.org/10.1016/j.taml.2021.100246 [Citations: 3]

  19. A Dispersive Numerical Model for the Formation of Undular Bores Generated by Tsunami Wave Fission

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    East Asian Journal on Applied Mathematics, Vol. 7 (2017), Iss. 4 P.767

    https://doi.org/10.4208/eajam.161016.300517b [Citations: 4]

  20. Power law fluid model on wave mitigation, 2D simulation using smoothed particle hydrodynamics

    Bunga, M S | Mustamiin, M | Magdalena, I | Erwina, N

    Journal of Physics: Conference Series, Vol. 1397 (2019), Iss. 1 P.012070

    https://doi.org/10.1088/1742-6596/1397/1/012070 [Citations: 0]

  21. 1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure

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    https://doi.org/10.3390/computation9060066 [Citations: 20]

  22. Application of particle swarm optimization in optimal placement of tsunami sensors

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    https://doi.org/10.7717/peerj-cs.333 [Citations: 10]

  23. Non-Hydrostatic Model for Solitary Waves Passing Through a Porous Structure

    Magdalena, Ikha

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    https://doi.org/10.20965/jdr.2016.p0957 [Citations: 16]