气泡动力学数值模型的稳定性研究

基于势流假设,建立气泡动力学数值模型,并开发计算程序.系统地分析了不同模型、不同单元类型的计算精度,以及网格划分、时间步等因素对计算结果的影响,验证了本文数值模型的收敛性,并在计算过程中分析了动能、势能及总能量随时间的变化.为考核文中建立的气泡动力学计算模型的有效性,分别将轴对称模型及三维模型与Rayleigh-Plesset气泡模型的精确解及实验数据、实验照片进行了对比分析,分析表明,计算结果与Rayleigh-Plesset模型及实验数据吻合很好,表明文中建立的计算模型是可行的、有效的.并分析了气泡在重力场中的运动特性.

Stability of Numerical Model of the Bubble Dynamics

Based on potential flow assumption,numerical model of bubble dynamics is erected and corresponding computation program is exploited.The effect of different models and element types acting on calculation precision as well as the effect of mesh quality and time increment exerting on calculated results are analyzed, which validates convergence of the numerical model in this paper. And the change of kinetic energy, potential energy and overall energy with time is analyzed in the process of calculation.To check the validity of erected bubble dynamics model, after comparing axisymmetrical model to three-dimensional model with existed information which encompasses exact solution of Rayleigh-Plesset function,experiment data and experiment photographs,the analysis shows that the calculated results present satisfactory precision with Rayleigh-Plesset model and experiment data, and shows that the calculating model in this paper is feasible and effective.The dynamic behavior of bubble in gravity field is also analyzed.