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2012 A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid
Ying Gou, Xin-jia Chen, Teng Bin
J. Appl. Math. 2012(SI09): 1-15 (2012). DOI: 10.1155/2012/686824

Abstract

A time-domain numerical model is established based on the higher-order boundary element method (HOBEM) to simulate wave diffraction problem in a two-layer fluid of finite depth. There are two possible incident wave modes (surface-wave mode and internal-wave mode) exist in the incident wave for a prescribed frequency in a two-layer fluid. For surface-wave mode, the hydrodynamic characters of fluid particles are similar to single-layer fluid. For the internal-wave mode, through the definition of a new function respected to velocity potentials of upper and lower fluid on the interface by using matching condition, a single set of linear equations is set up to compute the time histories of wave forces and wave profiles by using a fourth-order Runge-Kutta method. An artificial damping layer is adopted both on the free surface and interface to avoid the wave reflection. Examinations of the accuracy of this time-domain algorithm are carried out for a truncated cylinder and a rectangular barge, and the results demonstrate the effectiveness of this method.

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Ying Gou. Xin-jia Chen. Teng Bin. "A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid." J. Appl. Math. 2012 (SI09) 1 - 15, 2012. https://doi.org/10.1155/2012/686824

Information

Published: 2012
First available in Project Euclid: 17 October 2012

zbMATH: 1251.76030
MathSciNet: MR2948097
Digital Object Identifier: 10.1155/2012/686824

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI09 • 2012
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