Article
Water Wave Focusing Using Coordinate Transformation
Author(s)
Takahito Iida1, 2 and Masashi Kashiwagi1
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DOI:10.17265/1934-8975/2017.10.002
Affiliation(s)
1. Department of Naval Architecture and Ocean Engineering, Osaka University, Osaka 5650871, Japan
2. Research Fellow (DC1) of Japan Society for the Promotion of Science, Osaka 5650871, Japan
ABSTRACT
In this paper, wave focusing based on a coordinate transformation is
proposed. It is known that the 2-dimensional wave equation which governs a
shallow water problem in a potential theory can keep invariance under
coordinate transformation. Once equivalent medium parameters are obtained so as
to keep the invariance, wave rays can be arbitrarily designed. We show the
design of equivalent medium for wave squeezing to focus waves on a specific
domain. Numerical computations are carried out by a finite element based software COMSOL
Multiphysics. Results show good agreement between predictions from the theory
and computations. It can be applied for a wide range of frequency because the proposed method is able to be applied regardless of the frequency.
KEYWORDS
Coordinate transformation, wave focusing, shallow water.
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