The numerical simulation of fully nonlinear deep-water waves

ZHOU Bin-zhen; NING De-zhi; TENG Bin; SONG Wei-hua

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ZHOU Bin-zhen, NING De-zhi, TENG Bin, SONG Wei-hua. The numerical simulation of fully nonlinear deep-water waves[J]. Haiyang Xuebao, 2011, 33(1): 27-35.

Citation:

ZHOU Bin-zhen, NING De-zhi, TENG Bin, SONG Wei-hua. The numerical simulation of fully nonlinear deep-water waves[J]. Haiyang Xuebao, 2011, 33(1): 27-35.

ZHOU Bin-zhen, NING De-zhi, TENG Bin, SONG Wei-hua. The numerical simulation of fully nonlinear deep-water waves[J]. Haiyang Xuebao, 2011, 33(1): 27-35.

Citation:

ZHOU Bin-zhen, NING De-zhi, TENG Bin, SONG Wei-hua. The numerical simulation of fully nonlinear deep-water waves[J]. Haiyang Xuebao, 2011, 33(1): 27-35.

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The numerical simulation of fully nonlinear deep-water waves

1.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China
2.
State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;State Key Laboratory of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, China

Received Date: 2009-10-11

Abstract

Abstract

Based on the potential theory and the particle velocity decreasing exponentially with the increasing of the water depth for the deep-water waves, a fully nonlinear numerical variable deep wave flume model was developed. Waves generated by a piston wave maker were real-time simulated. The model is developed using a time domain higher-order boundary element method (HOBEM). A mixed Eulerian-Lagrangian technology and a 4th-order Runge-Kutta scheme are utilized to track the free surface. Image Green function is used in the whole fluid domain so that the integration on lateral surfaces are excluded. An artificial damping layer is distributed at the end of the flume to eliminate wave reflection. The GMRES accelerated algorithm is utilized to improve calculation efficiency. Numerical experiments are carried out to model the deep water waves. Steady wave profiles are obtained and good agreements between numerical solutions and analytical solutions are obtained for the small motion amplitude of the wave maker.Wave nonlinear features are shown for the large motion amplitude.the numerical experiments are also carried out to study the influence of the water depth at the upper step on the generated wave height.According to the proposed numerical simulation, the suitable water depth at the up step and the motion amplitude of the wave maker can be derived to get the required wave in deep water.
- wave maker motion,
- numerical wave tank,
- fully nonlinear,
- higher-order boundary element method,
- deep water waves

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References(17)

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