## 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

Ying Gou, Xin-jia Chen, and Teng Bin

#### 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.

#### Article information

**Source**

J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 686824, 15 pages.

**Dates**

First available in Project Euclid: 17 October 2012

**Permanent link to this document**

https://projecteuclid.org/euclid.jam/1350488745

**Digital Object Identifier**

doi:10.1155/2012/686824

**Mathematical Reviews number (MathSciNet)**

MR2948097

**Zentralblatt MATH identifier**

1251.76030

#### Citation

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