表面张力对固壁近旁空化气泡溃灭特性的影响

Surface Tension Effects on the Collapsing Behaviorof a Cavitation Bubble near a Rigid Wall

导出了考虑表面张力影响下模拟固壁附近溃灭空化气泡特性的边界积分方法及数值求解方法.首次在本研究领域采用ENO插值方法进行网格重分,而无须对每点计算结果进行人为光滑化就能模拟气泡的大变形.对算法各个环节的分析及比较结果说明本数值方法和程序是正确的.数值模拟结果显示,表面张力对固壁附近小空化气泡溃灭特性的影响是非常显著的.

With the consideration of surface tension the boundary integral method and numerical solution method for simulation of a cavitation bubble collapsing near a rigid wall are derived. It is the first in this research area to employ the ENO iterpolation in gird reconstruction,which makes the method be able,to simulate large deformation of the bubble without use of the artificial smoothing technique to the results at every time step. The analysis of the key parts of the algorithm and the comparisons with the results of others show the validity of the numerial method and code. The numerical results show that for a small cavitation bubble near a rigid wall effects of surface tension on its collapsing behavior are very significant.