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An Optimal Dimension of Submerged Parallel Bars as a Wave Reflector

Pudjaprasetya, S.R., and Chendra, H.D., (2009) An Optimal Dimension of Submerged Parallel Bars as a Wave Reflector. Bulletin of the Malaysian Mathematical Sciences Society, 32 (1). pp. 55-62. ISSN 0126-6705

Full text not available from this repository.

Official URL: http://math.usm.my/bulletin/pdf/v32n1/v32n1p6.pdf

Affiliations

Institut Teknologi Bandung, Indonesia. Faculty of Mathematics and Natural Sciences. Industrial and Financial Mathematics Research Group
Institut Teknologi Bandung, Indonesia. Faculty of Mathematics and Natural Sciences. Industrial and Financial Mathematics Research Group

Abstract

This paper studies submerged parallel bars as a wave reflector using the linear Shallow Water Equation (SWE). First, we recall the analytical study from literature about finding an optimal width of a one-bar wave reflector with a specific height. Numerical study is applied using the Lax-Wendroff discretization method with different partition along $x$-axis in order to avoid numerical diffusion error. Comparison between analytical and numerical solutions shows a good agreement, qualitatively and quantitatively. Using an analogous physical argument as in the case of one-bar wave reflector, we can obtain an optimal dimension of submerged $n$-bar wave reflector. Numerical computations are made and they confirm this optimal dimension. Finally, we conclude that in order to get the minimal amplitude of transmitted wave, the wavelength of an incident wave and the dimension of bars should be closely matched.

Item Type:Journal
Additional Information:The financial support from ITB research grant No. 0004/K01. 03.2/PL2.1.5/I/2006, March 9, 2006, is acknowledged. The author would like to thank Dr. Andonowati, Dr. L.H. Wiryanto, Kade Suryaningsih SSi, Haryuninglistia SSi for useful discussions.
Keywords:Submerged parallel bars, shallow water equation.
Subjects:Q Science, Computer Science
ID Code:5467

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