环形激波绕射、反射和聚焦流场的间断有限元模拟  

Diffraction,reflection and focusing of toroidal shock waves

作　　者：陈二云[1] 马大为[1] 乐贵高[1] 赵改平[2] 朱孙科[1] 

机构地区：[1]南京理工大学机械工程学院,江苏南京210094 [2]上海理工大学医疗器械学院,上海200093

出　　处：《爆炸与冲击》2009年第2期177-181,共5页Explosion and Shock Waves

基　　金：上海市重点学科建设基金项目(J50501)

摘　　要：采用间断有限元方法对环形激波在圆柱形激波管内绕射、反射和聚焦流场进行了数值模拟。将二维守恒方程的间断有限元方法发展到轴对称Euler方程,并对环形激波绕后台阶流动进行了数值计算。计算结果表明,采用间断有限元方法能够有效地捕捉运动激波在圆柱形激波管内传播的复杂流场结构;在聚焦点附近,数值解具有较大的梯度变化,表明该方法对间断解具有较强的捕捉能力,在聚焦点附近不会产生振荡或抹平间断现象。A numerical simulation of the toroidal shock wave motion in a cylindrical shock tube was carried out using the discontinuous finite element method, which was developed to solve the axisymmetric Euler equations based on two-dimensional conservation laws. The computed results show the complicated flow field, which is formed by shock propagating in the cylindrical shock tube, can be captured efficiently using the discontinuous finite element method. The numerical solutions with steep gradients near the focusing point indicate the discontinuous finite element method has high resolution and there can not lie numerical oscillation and artificial viscosity near the discontinuous point.

关 键 词：爆炸力学 激波绕射 间断有限元方法 环形激波 聚焦 反射 

分 类 号：O354.4[理学—流体力学]