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一种捕捉多向刚性爆轰波的激波定位随机投影方法
引用本文:王建航,陈方,刘洪,王兰,郑忠华.一种捕捉多向刚性爆轰波的激波定位随机投影方法[J].计算物理,2014,31(6):648-658.
作者姓名:王建航  陈方  刘洪  王兰  郑忠华
作者单位:1. 上海交通大学航空航天学院, 上海 200240;2. 中国空气动力学研究与发展中心, 绵阳 621000
基金项目:Supported by the National Natural Science Foundation of China(Grant No.11102111)
摘    要:提出一种激波定位随机投影方法,利用当地随机投影,引入激波指示器并提出恰当的判定当地投影区域的规则,使爆轰波多向推进的问题得以解决。数值实验表明,激波定位随机投影方法不仅适用于爆轰波的多向推进,还能高效求解刚性反应方程,易于推广到三维情况。

关 键 词:随机投影  爆轰波  刚性反应源项  激波指示器  
收稿时间:2013-10-27
修稿时间:2014-02-20

A Shock pinned Random Projection Method for Multi directional Stiff Detonation Capturing
WANG Jianhang,CHEN Fang,LIU Hong,WANG Lan,ZHENG Zhonghua.A Shock pinned Random Projection Method for Multi directional Stiff Detonation Capturing[J].Chinese Journal of Computational Physics,2014,31(6):648-658.
Authors:WANG Jianhang  CHEN Fang  LIU Hong  WANG Lan  ZHENG Zhonghua
Institution:1. School of Aeronautics and Astronautics,Shanghai Jiao Tong University, Shanghai 200240, China;2. China Aerodynamics Research and Development Center, Mianyang 621000, China
Abstract:A shock-pinned random projection method( SRPM) is proposed. To overcome difficulty of multidirectional propagation,local random projection is applied by introducing a shock indicator along with proper rules for choosing local projection zones around shocks in each reaction step. Numerical experiments are presented. It shows that SRPM is appropriate for detonation waves with multi-directional propagation,which is high-efficient in solving stiff reactive equations and extensible to 3D situations.
Keywords:random projection  detonation  stiff source term  shock indicator
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