中文摘要：

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。

英文摘要：

A shock-pinned random projection method ( SRPM ) is proposed. To overcome difficulty of multi-directional 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.