Abstract
The development of a two dimensional numerical wave tank (NWT) with a rocker or piston type wavemaker based on the high order boundary element method (BEM) and mixed Eulerian-Lagrangian (MEL) is examined. The cauchy principle value (CPV) integral is calculated by a special Gauss type quadrature and a change of variable. In addition the explicit truncated Taylor expansion formula is employed in the time-stepping process. A modified double nodes method is assumed to tackle the corner problem, as well as the damping zone technique is used to absorb the propagation of the free surface wave at the end of the tank. A variety of waves are generated by the NWT, for example; a monochromatic wave, solitary wave and irregular wave. The results confirm the NWT model is efficient and stable.
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Foundation item: Supported by the National Natural Science Foundation of China (Grant No.51009038/E091002).
Zhe Sun was born in 1986. He received the bachelor degree and master in Shipbuilding and Marine Engineering at Harbin Engineering University. Now he works toward his PhD degree at University of Southampton UK. His research interests include control and simulation of underwater vehicle.
Yongjie Pang was born in 1955. He is a professor at Harbin Engineering University. His current research interests include technology of naval architecture and ocean structure, autonomous underwater vehicle, etc.
Hongwei Li was born in 1983. He received the bachelor degree in Shipbuilding and Marine Engineering at Harbin Engineering University. Now he works toward his PhD degree at Harbin Engineering University. His research interests include control and simulation of underwater vehicle.
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Sun, Z., Pang, Y. & Li, H. Two dimensional fully nonlinear numerical wave tank based on the BEM. J. Marine. Sci. Appl. 11, 437–446 (2012). https://doi.org/10.1007/s11804-012-1153-y
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DOI: https://doi.org/10.1007/s11804-012-1153-y