基于粘性流理论建立三维数值波浪水池,通过求解非定常RANS方程结合RNG k-ε湍流模型模拟流场,采用VOF方法模拟不规则波波面,通过在入口边界定义速度和波高产生入射波,生成基于ITTC谱的长峰不规则波,在数值波浪水池的末端设置阻尼销波区。在此基础上,分析网格尺寸、时间步长、欠松弛因子和频率等分数量4种因素对不规则波数值模拟精度的影响。最后给出不规则波数值模拟的建议,并验证了该模拟模式的有效性。
A three-dimensional viscous numerical wave tank was established based on computational fluid dynamics (CFD) method. The Reynolds Averaged Navier–Stokes (RANS) equations and RNG k-ε turbulence model were solved in the simulations. The wave surface was simulated by Volume of Fluid (VOF) method. A numerical approach of wave-generation method of defining inlet boundary conditions was employed, and the irregular waves of ITTC spectrum were generated. The outgoing waves are numerically dissipated inside an artificial damping zones located at the outlet boundary. On this basis, the Influencing factors of numerical simulation of irregular wave were analyzed on the aspect of mesh scale, time step, the under-relaxation factors and the number of sub-frequency. Finally, a recommendation for the simulation of irregular waves is provided, and the effectiveness of the present simulation method is verified.
2020,42(9): 75-81 收稿日期:2019-12-07
DOI:10.3404/j.issn.1672-7649.2020.09.014
分类号:U661.7
基金项目:十三五预研项目(41407010301)
作者简介:吴明(1984-),男,博士,讲师,研究方向为船舶耐波性
参考文献:
[1] PARK J.C., UNO Y., SATO T., et al. Numerical reproduction of fully nonlinear multi-directional waves by a viscous 3D numerical wave tank[J]. Ocean Engineering, 2004, 31: 1549–1565
[2] 周勤俊, 王本龙, 兰雅梅, 等. 海堤越浪的数值模拟[J]. 力学季刊, 2005, 26(4): 629–633
ZHOU Qinjun, WANG Benlong, LAN Yamei, et al. Numerical simulation of wave overtopping over seawalls[J]. Chinese Quarterly of Mechanics, 2005, 26(4): 629–633
[3] 董志, 詹杰民. 基于VOF方法的数值波浪水槽及造波、消波方法演技[J]. 水动力学研究与进展(A辑), 2009, 24(1): 15–21
DONG Zhi, ZHAN Jiemin. Comparison of existing methods for wave generating and absorbing in VOF-based numerical tank[J]. Journal of Hydrodynamics (Ser.A), 2009, 24(1): 15–21
[4] 冯光, 吴乘胜, 郑文涛, 等. 数值水池短峰不规则波模拟研究[J]. 船舶力学, 2010, 14(4): 347–354
FENG Guang, WU Chengsheng, ZHENG Wentao, et al. Reproduction of short-crested irregular waves by a viscous numerical wave tank[J]. Journal of Ship Mechanics, 2010, 14(4): 347–354
[5] CAO Hongjian. Development of viscous numerical wave tank and its application in ocean engineering[D]. Shanghai: Shanghai Jiao Tong University. 2014
[6] SHEN Zhi-rong, WAN De-cheng. An irregular wave generating approach based on naoe-FOAM-SJTU solver[J].
[7] 石博文, 刘正江, 吴明. 船模不规则波中顶浪运动数值模拟研究[J]. 船舶力学, 2014, 18(8): 906–915
SHI Bowen, LIU Zhengjiang, WU Ming. Numerical simulation of ship motions in irregular head waves[J]. Journal of Ship Mechanics, 2014, 18(8): 906–915
[8] 石博文, 刘正江, 吴明. 基于当前海浪谱的甲板上浪数值模拟[J]. 大连海事大学学报, 2016, 42(3): 31–36
SHI Bowen, LIU Zhengjiang, WU Ming. Numerical simulation of green water based on measured spectrum of ocean wave[J]. Journal of Dalian Maritime University, 2016, 42(3): 31–36
[9] 吴明, 石爱国, 杨波, 等. 基于CFD的船舶斜浪三自由度运动仿真研究[J]. 计算机应用研究, 2013, 30(7): 2233–2235
WU Ming, SHI Aiguo, YANG Bo, et al. Simulation research of three DOF motions of ship in oblique waves based on CFD[J]. Application Research of Computers, 2013, 30(7): 2233–2235
[10] STERN Frederick, WANG Zhaoyuan, YANG Jianming. Recent progress in CFD for naval architecture and ocean engineering[J]. Journal of Hydrodynamics, 2015, 27(1): 1–23
[11] DIEZ M, BROGLIA R, DURANTE D, et al. Validation of Uncertainty Quantification Methods for High-Fidelity CFD of Ship Response in Irregular Waves[C] // Proc. 55th AIAA Aerospace Sciences Meeting, Grapevine, TX, USA, January 9-13, 2016.
[12] SHEN, ZR and WAN, DC. RANS Computations of Added Resistance and Motions of Ship in Head Waves[C] // Proceedings of the Twenty-second International Offshore and Polar Engineering Conference, Rhodes, Greece. 2012, Vol 3, 1096–1103.
[13] 杨波, 石爱国, 吴明. 基于抗数值衰减的短波数值模拟研究[J]. 水运工程, 2011(12): 30–35
YANG Bo, WU Ming, SHI Aiguo. Research on wave numerical attenuation problem[J]. Port & Waterway Engineering, 2011(12): 30–35
[14] YAKHOT, V, ORSZAG, SA, THANGAM, S, GATSKI, TB and SPEZIALE, CG. Development of turbulence models for shear flows by a double expansion technique[J]. Physics of Fluids A, Vol. 4, No. 7, 1510–1520.
[15] HIRT, CW and NICHOLS, BD. Volume of fluid method for the dynamics of free boundaries[J]. Comp. Phys. Vol 39, No 1, pp 201–225.
[16] 中华人民共和国交通部. JTJ/T 234—2001, 波浪模型试验规程[S]. 北京: 人民交通出版社, 2001.
Ministry of Transport of the PRC. JTJ/T 234—2001, Wave Model Test Regulation[S]. Beijing: China Communications Press, 2001.