柱形和球形壳体内爆界面不稳定性数值分析  

Numerical analysis on interface instability of cylindrical and spherical shells under implosive loading

作　　者：柏劲松[1] 王涛[1] 刘坤[1] 钟敏[1] 

机构地区：[1]中国工程物理研究院流体物理研究所冲击波物理与爆轰物理实验室,绵阳621900

出　　处：《应用力学学报》2012年第5期601-606,633,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(11072228;11002129);中国工程物理研究院科学技术发展基金(2011B0202005;2011A0201002)

摘　　要：为了更好地研究柱形和球形构型下果冻界面不稳定性发展,避免内爆聚心反弹前后直角坐标网格计算导致的误差,提高对流场和界面位置的计算精度,通过应用考虑了MVFT程序的网格适应性,使其能够适用于柱形网格和球形网格下的界面不稳定性数值模拟,特别是能够保证内爆聚心反弹前后流场和界面计算的稳定性。应用改进的计算程序对两种构型下的界面不稳定性进行了数值模拟,并对二者界面演化规律进行了详细讨论和归纳。结果表明:对于内外半径相同的柱形和球形果冻,聚心反弹时前者半径较小,而后者反弹时刻早于前者,其向内聚心和向外运动的速度最大值大于前者,对内部气体的压缩强度强于前者。对于外边界带有正弦扰动情况,除遵循上述规律外,计算还给出了峰谷转换现象。该项研究结果为进一步深入进行复杂构型下界面不稳定性高精度数值模拟研究提供了一种分析工具。In order to further study the development of jelly interface instability in cylindrical and spherical configuration,to avoid the Cartesian grid errors result from computation before and after implosion rebound,and to achieve the goal to improve the calculation accuracy of the flow field and interface location,the grid adaptability of MVFT program is considered.It can be applied to the numerical simulation of cylindrical and spherical grid interface instability.In particular,it can ensure the stability of the flow field and interface calculation before and after implosion rebound.Using the improved calculation program,the two interface instabilities are simulated.A detailed discussion and analysis on the evolution of the two interfaces are performed.For the cylindrical and spherical jelly models with same inner and outer radius,the former radius is less than the latter when the implosion rebound happens,while the latter rebounds earlier,the maximum speed of inward implosion and outward movement of the latter is greater than that of the former,and the gas compression of inner region for the latter is stronger than that of the former.For the case of jelly outer boundary with a sinusoidal perturbation,in addition to follow the above law,the calculation also displays the conversion phenomenon of peaks and troughs.Present research may provide a powerful tool for the further study of the instability in complex configurations.

关 键 词：界面不稳定性 数值模拟 MVFT 柱形网格 球形网格 

分 类 号：O381[理学—流体力学] O357[理学—力学]