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.