Volume 6, Issue 5
Wave Interaction with an Emerged Porous Media

Adv. Appl. Math. Mech., 6 (2014), pp. 680-692.

Published online: 2014-06

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• 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.

• Keywords

Emerged porous media, shallow water equation, wave transmission coefficient, wave reflection coefficient.

76S05, 81U30, 35L02

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@Article{AAMM-6-680, author = {Magdalena , I. and Pudjaprasetya , S. R. and Wiryanto , L. H.}, title = {Wave Interaction with an Emerged Porous Media}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2014}, volume = {6}, number = {5}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2014.5.s5}, url = {http://global-sci.org/intro/article_detail/aamm/42.html} }
TY - JOUR T1 - Wave Interaction with an Emerged Porous Media AU - Magdalena , I. AU - Pudjaprasetya , S. R. AU - Wiryanto , L. H. JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 680 EP - 692 PY - 2014 DA - 2014/06 SN - 6 DO - http://doi.org/10.4208/aamm.2014.5.s5 UR - https://global-sci.org/intro/article_detail/aamm/42.html KW - Emerged porous media, shallow water equation, wave transmission coefficient, wave reflection coefficient. AB -

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.

I. Magdalena, S. R. Pudjaprasetya & L. H. Wiryanto. (1970). Wave Interaction with an Emerged Porous Media. Advances in Applied Mathematics and Mechanics. 6 (5). 680-692. doi:10.4208/aamm.2014.5.s5
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