A Central Lagrange Method For Simulating Detonation Of Cohesive Explosives Based On Feature Theory

The numerical simulation of explosive detonation is one of the most significant parts of the detonation physics. Compared to gaseous detonation, the condensed explosives have more advantages in terms of processing, transportation and storage, and in the process of detonation, the density, pressure, velocity and released energy are much larger or higher, which makes the condensed explosives get a very wide range of applications. Therefore, accurate simulation of detonation of condensed explosives is of great importance in the academic development and practical application.According to the characteristic property of the nonlinear governing equations of detonation in condensed explosives, we present a cell-centered Lagrange method to simulate the detonation phenomenon in condensed explosives, and construct a finite volume local evolution Galerkin scheme based on semi-discrete framework. The local evolution Galerkin solver is derived from the control equations in primitive variable form minutely. This solver take the "multidimensional effect" into account, and greatly simplifies the expression of approximate evolutionary operator, then it's convenient to be applied in the numerical simulation of detonation.Finally, we simulate several typical numerical examples of detonation to test the cell-centered Lagrange method. During this process, the three part Ignition-Growth model is used for the reaction model, and we select JWL equation of state for the unreacted explosives and detonation products. Numerical results show that the cell-centered Lagrange method based on characteristic theory can obtain satisfactory results in terms of stability and resolution, and gives good description of the reaction zone in detonation process. Besides, this method is easy to achieve high order accuracy by high order reconstruction.