运动激波和气泡串相互作用的初步数值模拟

Numerical Studies of Moving Shock Interacting with Consecutive Helium Bubbles

通过对激波和流体界面相互作用诱导的大变形界面演化的数值模拟,验证Levelset方法精确模拟多个流体界面的有效性.采用2阶迎风TVD求解欧拉方程得到流场解,采用5阶WENO求解Levelset方程追踪多流体界面,采用GFM方法处理流体内界面.利用文[1]的计算结果校核本文程序.在此基础上,对运动激波和气泡串相互作用过程进行了初步数值模拟,得到了不同时刻运动激波和圆管内的两个气泡作用后的演化图象,包括压力和密度等值线分布.计算结果表明:针对推广后的多界面Levelset方程,该方法仍可高质量地捕捉多个流体界面.

The numerical simulation is carried out on interface with large deformation induced by interaction between a moving shock and Helium bubbles. The high performance of the level set method coupling with GFM (ghost fluid method) was demonstrated. Upwind TVD scheme was used to solve Eulerian equation for flowfield, and 5th WENO scheme was used to solve level set equation for fluid interfaces' tracking. GFM was applied to deal with the interface boundary. Example was used to validate our codes. Finally, the results were obtained on moving shock interacting with helium bubbles including the bubbles evolution. The results indicate that multi-interface can be perfectly tracked by extension of level set equation for multi-fluid interfaces.