为研究水下爆炸气泡同波浪的相互作用,本文引入数值与解析相结合的方法来考虑远场对气泡的影响,并解决了开域自由面在边界积分中的奇异性问题.然后通过将流场速度势分解为波浪入射势和气泡扰动势,研究了波浪对近自由面气泡的动态特性的影响,并对不同特征参数的波浪下水下爆炸气泡进行模拟,分析了波长和初始相位角对气泡动态特性的影响.通过对结果的分析发现:对于气泡自身形态,在收缩阶段波浪的存在会使气泡上半部分以及自。由面诱导射流产生偏移;而对与水冢形态,除了会产生偏移,水冢高度和宽度也会受到明显的影响.这种影响程度随初始相位角周期性变化,而在本文所研究的波长范围内,随波长的增加递减.
In order to study the interaction between underwater explosion bubble and surface waves, numerical and analytical methods are combined in this paper to solve the singular problem of the opened free surface and to consider the influence of far field. Then we decompose the velocity potential into incident potential due to the waves and the disturbing potential due to the bubble to consider the influence of waves. With the numerical model, interaction between the underwater explosion bubble and surface waves and the influence of wavelength and initial phase on the bubble dynamics are analyzed in this paper. Through the analysis of the numerical results, following conclusions are reached. During the collapsing phase of the bubble, the existence of the waves would budge the upside bubble and the downward liquid jet, while for the spike of the free surface, the influences on its height and width are considerable besides its migration. These magnitudes of influence are changed with the initial phase periodically, and decrease with the increase of wavelength in the range considered in this paper.