MAXIMUM ENTROPY OF EFFECTIVE REACTION THEORY OF STEADY NON-IDEAL DETONATION

爆震波是超音速的、强大的反应波。这种波的能量可用于炸药应用，例如采矿活动中的岩石破碎或国防应用中的金属层加速。另一方面，计划外爆炸是一种极其危险的爆炸危险。这里我们关注的是非理想炸药，它不能用一维理论来恰当地描述。例如，在非理想炸药的圆柱形装药中，爆轰波阵面是弯曲的，其传播速度(以及随后产生的压力)与药包的直径和周围的材料(如岩石或金属)密切相关。目前，只有使用非常复杂和昂贵的数值模拟才能准确地做到这一点。所提出的方法将基于有效反应理论的最大熵，其新颖之处在于它基于变分方法。例如，改变爆轰波阵面的形状和速度，选择某一物理量(即爆轰驱动区的总熵)最大的物理解。为了检验和验证理论，将计算结果与高分辨率直接数值模拟结果进行了比较。

Detonation waves are supersonic, powerful reaction waves. The power of such waves may be harnessed in explosives applications, e.g. for rock breaking in mining activities or acceleration of metal layers in defence applications. On the other hand, unplanned detonations represent an extremely dangerous explosion hazard. Here we are concerned with non-ideal explosives, which cannot be properly described by a one-dimensional theory. In a cylindrical charge of non-ideal explosives, for example, the detonation front is curved and its propagation speed (and subsequent pressures generated) is intimately linked to the diameter of the charge and to the material surrounding it (e.g. the type of rock or metal).The purpose of the proposed research is to develop a method that can quickly calculate the solution for the propagation of highly non-ideal steady detonations in a stick of explosive. At present this can only be done accurately by using very sophisticated and costly numerical simulations. The proposed method, which will be based on a maximum entropy of effective reaction theory, is novel in that it is based on a variational approach. For example, the detonation front shape and speed is to be varied, and the physical solution chosen to be the one for which a certain quantity (namely the total entropy in the detonation driving zone) is a maximum. To test and validate the theory, the results will be compared with the results of high-resolution direct numerical simulations.