### 二维平板水漂运动数值模拟

1. 南京航空航天大学 航空宇航学院, 南京 210016
• 收稿日期:2020-06-01 修回日期:2020-08-12 出版日期:2021-06-15 发布日期:1900-01-01
• 通讯作者: 童明波 E-mail:tongw@nuaa.edu.cn
• 基金资助:
国家自然科学基金（11672133）；江苏高校优势学科建设工程资助项目

### Numerical simulation of two-dimensional plate skipping

FU Xiaoqin, LI Yanghui, LU Yujin, XIAO Tianhang, TONG Mingbo

1. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
• Received:2020-06-01 Revised:2020-08-12 Online:2021-06-15 Published:1900-01-01
• Supported by:
National Natural Science Foundation of China (11672133); A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions

Abstract: Exploration of the hydrodynamics and mechanism of plate skipping is of significant reference value for the research on aircraft landing problem. Based on the finite volume method and k-ε RNG turbulence model, the Unsteady Reynolds Averaged Navier-Stokes (URANS) equations are solved and a numerical tank is constructed by the velocity-inlet boundary wave maker combined with the Volume of Fluid (VOF) model. Coupled with the global dynamic mesh method, the numerical simulation of two-dimensional plate skipping on both calm and wavy water is carried out. Based on the comparison with experimental and theoretical values, the effects of the initial attitude angle, throwing angle and throwing speed on plate skipping are discussed. Furthermore, the influence of different wave parameters and wave positions is studied and analyzed from the perspective of energy conservation. It is shown that the plate with 20° attitude angle can achieve stone skipping at the minimum throwing speed, and the relative energy loss of the plate is less affected by the initial throwing speed, but mainly affected by the throwing angle and attitude angle, and rises with the increase of the throwing angle or attitude angle. In the case of waves, the plate touching the water at the balance position (up speed) can obtain larger contact area, while the longer contact time occurs at the trough. Therefore, the relative energy loss of the plate contacting the water at these two positions is serious, and the numerical change is about 5% larger than that at the peak position; in the case of touching the water at the balance position (up speed), a rise of the attenuation of velocity and energy loss appears with the increase of wave height, contrary to that at the crest position.