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Wave Interaction with an Emerged Porous Media

Published online by Cambridge University Press:  03 June 2015

I. Magdalena ,
S. R. Pudjaprasetya  and
L. H. Wiryanto
I. Magdalena*
Affiliation:
Industrial & Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia, Jalan Ganesha 10, Bandung, West Java, Indonesia
S. R. Pudjaprasetya*
Affiliation:
Industrial & Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia, Jalan Ganesha 10, Bandung, West Java, Indonesia
L. H. Wiryanto
Affiliation:
Industrial & Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia, Jalan Ganesha 10, Bandung, West Java, Indonesia
*
Corresponding author. Email: ikha.magdalena@yahoo.com
Email: sr_pudjap@math.itb.ac.is
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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 with 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

76S0581U3035L02Emerged porous mediashallow water equationwave transmission coefficientwave reflection coefficient
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 6 , Issue 5 , October 2014 , pp. 680 - 692
Copyright
Copyright © Global-Science Press 2014

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