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Modelling and Simulation of Waves in Three-layer Porous Media : Volume 20, Issue 6 (25/11/2013)

By Pudjaprasetya, S. R.

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Book Id: WPLBN0003987080
Format Type: PDF Article :
File Size: Pages 8
Reproduction Date: 2015

Title: Modelling and Simulation of Waves in Three-layer Porous Media : Volume 20, Issue 6 (25/11/2013)  
Author: Pudjaprasetya, S. R.
Volume: Vol. 20, Issue 6
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


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Pudjaprasetya, S. R. (2013). Modelling and Simulation of Waves in Three-layer Porous Media : Volume 20, Issue 6 (25/11/2013). Retrieved from

Description: Mathematics Department, Institut Teknologi Bandung, Jalan Ganesha 10, Bandung, 40132, Indonesia. The propagation of gravity waves in an emerged three-layer porous medium is considered in this paper. Based on the assumption that the flow can be described by Darcy's Law, an asymptotic theory is developed for small-amplitude long waves. This leads to a weakly nonlinear Boussinesq-type diffusion equation for the wave height, with coefficients dependent on the conductivities and depths of each layer. In the limit of equal conductivities of all layers, the equation reduces to the single-layer result recorded in the literature. The model equations are numerically integrated in the case of an incident monochromatic wave hitting the layers. The results exhibit dissipation and also a downstream net height rise at infinity. Wave transmission coefficient in three-layer porous media with conductivity of mangrove is discussed. Numerically, propagation of an initial solitary wave through a porous medium shows the emergence of wave reflection and transmission that both evolve as permanent waves. Additionally we examine the impact of a solitary gravity wave on a porous medium breakwater.

Modelling and simulation of waves in three-layer porous media

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