Journal of Applied Mathematics
- J. Appl. Math.
- Volume 2012, Special Issue (2012), Article ID 686824, 15 pages.
A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid
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.
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 686824, 15 pages.
First available in Project Euclid: 17 October 2012
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Gou, Ying; Chen, Xin-jia; Bin, Teng. A Time-Domain Boundary Element Method for Wave Diffraction in a Two-Layer Fluid. J. Appl. Math. 2012, Special Issue (2012), Article ID 686824, 15 pages. doi:10.1155/2012/686824. https://projecteuclid.org/euclid.jam/1350488745