钝感炸药爆轰过程中人为粘性与空间步长的匹配关系

Matching Relation Between Artificial Viscosity and Mesh Size in Numerical Modeling of Detonation of Insensitive High Explosives

在数值计算平面爆轰波中,当爆轰波达到稳定状态时,数值计算结果要符合Chapm an-Jouguet理论。本文采用修正的JWL产物状态方程和Hybrid反应率,导出了钝感炸药PBX9502的人为粘性系数与空间步长的匹配关系。符合此条件时,爆轰波速度及声速点的状态———压力、密度及内能等符合C-J条件,几乎不受空间步长的影响,这样便可以使网格宽度加宽,利于在实际工程中应用。

In numerical modeling of the plane detonation wave, the state behind steady detonation must be in agreement with the Chapman-Jouguet theory. The modified JWL equation of states （EOS） of the products and Hybrid reaction model are used to obtain the matching relation between artificial viscosity and mesh size of PBX9502 of insensitive high explosives and are compared with other reaction models. When this condition is satisfied,the detonation velocity and the state of sound speed point including pressure, density and internal energy can be in agreement with the C-J theory. These variables are independent of mesh size. Thus the mesh size can be larger,and the matching relation can be used in practice.