运动激波和气水界面相互作用的数值模拟  

Numerical Simulation on Moving Shock Interacting with Gas-water Interface

作　　者：曹乐[1] 徐胜利[1] 

机构地区：[1]中国科学技术大学近代力学系,安徽合肥230026

出　　处：《水电能源科学》2009年第3期52-54,76,共4页Water Resources and Power

摘　　要：采用5阶WENO求解Level set方程捕捉运动界面,利用GFM方法处理流体内界面,再采用2阶迎风TVD求解欧拉方程得到流场解,对冲击波和气泡群相互作用及水下爆炸气体产物膨胀(高压气团群)问题进行了数值模拟,给出了不同时刻压力和密度云图分布和指定点的压力时间曲线。结果表明,该方法可很好地捕捉多个水下爆炸高压气泡的运动界面及其演化图像。We extend GFM method to capture the interface. Besides, Eulerian equations are discretized by upwind TVD scheme to describe flow field, and level-set equations by 5th order WENO scheme to obtain the evolution of interface. The phenomenon of collapsing between underwater shock and bubbles and the expansion of two V-shapes high-pressurized gas bubbles underwater are simulated. The results demonstrate application of GFM is capable of capturing interfaces with high ratios of pressure and density underwater.

关 键 词：levelset方法 迎风TVD格式 MGFM方法 数值模拟 

分 类 号：O395.1[理学—工程力学]