A Mass Source Method for Numerically Generating Internal Solitary Waves in Two-Layer Fluid

Abstract

Abstract:

According to the applicability conditions for three type of internal solitary wave theories including KdV, eKdV and MCC, and integrating with fully nonlinear Euler equations, a numerical wave-generating method for internal solitary waves in two-layer fluid was proposed by adding mass sources to continuity equation. Series of numerical simulations were presented to analyze the generation mechanism for the internal solitary wave in the process where mass sources release and absorb fluids. Besides, the variation characteristics of the waveform, amplitude, and flow field induced by the internal solitary wave were discussed. The results show that the waveform remains stable and the amplitude decays much weakly during the propagation of the internal solitary wave generated by the present method, and its waveform and amplitude are in good agreements with the experimental and theoretical results.

Key words: two-layer fluid, internal solitary wave, mass source, numerical wavegenerating

CLC Number:

P 751

WANG Xu1,LIN Zhongyi2,YOU Yunxiang1. A Mass Source Method for Numerically Generating Internal Solitary Waves in Two-Layer Fluid[J]. Journal of Shanghai Jiaotong University, 2014, 48(06): 850-855.

References

［1］方欣华,杜涛.海洋内波基础和中国海内波［M］.青岛:中国海洋大学出版社,2011.

［2］Helfrich K R, Melville W K. Long nonlinear internal waves［J］. Ann Rev Fluid Mech, 2006, 38:395425.

［3］Choi W, Camassa R. Weakly nonlinear internal waves in a twofluid system ［J］. J Fluid Mech,1996,313:83103.

［4］黄文昊,尤云祥,王旭,等.有限深两层流体中内孤立波造波实验及其理论模型［J］.物理学报,2013,62(8),084705.

HUANG Wenhao, YOU Yunxiang, WANG Xu, et al. Wavemaking experiments and theoretical models for internal solitary waves in a twolayer fluid of finite depth［J］. Acta Phys Sin, 2013,62(8),084705.

［5］关晖,苏晓冰,田俊杰.分层流体中内孤立波数值造波方法及其应用［J］.力学季刊,2011,32(2):218223.

GUAN Hui, SU Xiaobing, TIAN Junjie. Numerical method of solitary wave generation in a stratified flow and its applications［J］. Chinese Quarterly of Mechanics,2011,32(2):218223.

［6］高原雪,尤云祥,王旭,等. 基于MCC 理论的内孤立波数值模拟［J］. 海洋工程,2012,30(4):2936.

GAO Yuanxue, YOU Yunxiang, WANG Xu, et al. Numerical simulation for the internal solitary wave based on MCC theory［J］. The Ocean Engineering, 2012,30(4):2936.

［7］陈杰,尤云祥,刘晓东,等.内孤立波与有航速潜体相互作用数值模拟［J］.水动力学研究与进展,2010,25(3):344350.

CHEN Jie, YOU Yunxiang, LIU Xiaodong, et al. Numerical simulation of interaction of internal solitary waves with a moving submarine［J］. Chinese Journal of Hydrodynamics, 2010,25(3):344350.

［8］Lin P, Liu P L F. Internal wavemaker for NavierStokes equations models［J］. Port, Coastal, and Ocean Engineering, 1999,125(4):207215.

［9］Hafsia Z, Hadj M B, Lamloumi H, et al. Internal inlet for wave generation and absorption treatment［J］. Coastal Engineering, 2009,56(9):951959.

［10］韩鹏.基于VOF方法的不规则波阻尼消波研究［D］.大连:大连理工大学水利工程学院,2008.

［11］Camassa R, Choi W, Michallet H, et al. On the realm of validity of strongly nonlinear asymptotic approximations for internal waves［J］. J Fluid Mech, 2006, 549:123.

[1]	ZHI Changhong, CHEN Ke, YOU Yunxiang. Propagation Evolution Characteristics of Weakly Nonlinear Internal Solitary Waves on Slopes [J]. Journal of Shanghai Jiao Tong University, 2021, 55(8): 916-923.
[2]	MA Zhe，ZHOU Ting，SUN Jiawen，FANG Kezhao，ZHAI Gangjun. Numerical Simulation of Nonlinear Wave Based on an Improved Source Wave Method [J]. Journal of Shanghai Jiaotong University, 2020, 54(1): 60-68.
[3]	CHEN Min, CHEN Ke, YOU Yunxiang, LI Fei. Prediction of Internal Solitary Wave Loads on NANHAI 8 Semi-Submersible Platform [J]. Journal of Shanghai Jiao Tong University, 2019, 53(1): 42-48.
[4]	YANG Yuntao,ZHU Renchuan,JIANG Yin,MIAO Guoping. Simulation of 3-D Viscous Non-Reflection Numerical Wave Tank and the Interactions of Waves and Structures [J]. Journal of Shanghai Jiao Tong University, 2018, 52(3): 253-260.
[5]	HUANG Wenhao,YOU Yunxiang,WANG Jingyu,HU Tianqun. Internal Solitary Wave Loadsand and Its Theoretical Model for a Tension Leg Platform [J]. Journal of Shanghai Jiaotong University, 2013, 47(10): 1494-1502.
[6]	YOU Yunxiang1,LI Wei1,SHI Zhongmin2,QU Yan2,XIAO Yue2 . Hydrodynamic Characteristics of Tension Leg Platforms in Ocean Internal Solitary Waves [J]. Journal of Shanghai Jiaotong University, 2010, 44(01): 56-0061.