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运动激波和气泡(串)相互作用的三维数值模拟
引用本文:陈菲,徐胜利,张梦萍.运动激波和气泡(串)相互作用的三维数值模拟[J].中国科学技术大学学报,2006,36(10):1028-1033.
作者姓名:陈菲  徐胜利  张梦萍
作者单位:1. 中国科学技术大学力学和机械工程系,安徽合肥,230026
2. 中国科学技术大学数学系,安徽合肥,230026
摘    要:对激波和气泡(串)相互作用诱导的大变形界面演化进行了三维数值研究.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Level Set方程追踪多流体界面.在三维情况下,采用GFM确定界面边界条件.将速度分量分别外推,再沿法线分解,得到伪流体切向速度分量,给出了不同时刻运动激波和气泡(串)作用后的压力、密度云图分布图像.计算结果表明:采用速度分量外推方法适合三维界面边界条件处理,并与二维情况下切向速度直接外推的计算结果兼容,验证了切向速度外推方法的正确性.该方法模拟多个流体界面也是有效的,得到了高分辨率的三维变形界面.

关 键 词:激波  气泡  Level  set方法  TVD格式
文章编号:0253-2778(2006)10-1028-06
收稿时间:06 26 2006 12:00AM
修稿时间:08 3 2006 12:00AM

Numerical studies of a moving shock interacting with serial spherical helium bubbles
CHEN Fei,XU Sheng-li,ZHANG Meng-ping.Numerical studies of a moving shock interacting with serial spherical helium bubbles[J].Journal of University of Science and Technology of China,2006,36(10):1028-1033.
Authors:CHEN Fei  XU Sheng-li  ZHANG Meng-ping
Institution:1, Dept. of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China; 2. Department of Mathematics, University of Science and Technology of China, Hefei 230026 ,China
Abstract:The 3D computations were carried out on the evolution of three dimensional interfaces induced by a moving shock wave interacting with single and two serial spherical helium bubbles.Upwind TVD scheme was used to solve Eulerian equations for flow field,and 5th WENO scheme was used to solve Level-Set equations for fluid interfaces' tracking.GFM(ghost fluid method) was applied to reset the boundary conditions at the 3D interface.The velocity components in x,y,z direction were extrapolated respectively,then,the tangential velocity components were obtained in the ghost fluid by subtracting from the normal component.The pressure and density contours were obtained at different time intervals.The results indicate that the velocity components' extrapolation is identical to the tangential velocity in 2D cases.Meanwhile,this method is either reasonable for the capturing of 3D multiple-interface in the case of a moving shock interacting with serial bubbles in ideal gas.The interfaces can be tracked at high resolution by extension of level-set equation.
Keywords:GFM
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