高分辨格式在爆轰数值模拟中的应用

研究了双曲型方程高分辨格式的完全守恒型形式,对一维双曲型拉氏程序SIN作了较大的改进,初步实现了高分辨方法在爆轰数值模拟中的应用,尤其是对凝聚炸药的数值计算.算例表明:改进的格式具有激波过渡区窄,过跳与低亏小的优点.这将有助于实现爆轰反应区机理的数值模拟。

Numerical Modeling of Detonation Using High Resolution Schemes

On the basis of high resolution theories an improved form of the fully conservative finite difference schemes for one-dimensional lagrangian equations is presented. The one-dimensional lagrangian hydrodynamic code SIN made by C.L. Mader is improved according to this method and initially fulfill applying the high resolution schemes in modeling of detonation, especially in condensed explosives. The numerical results of piston detonating PBX show that the improved schemes have high accuracy of shock formation.