NUMERICAL MODELING OF THE DETONATION PROCESS IN 3D SPACE USING ADAPTIVE-IN-BUILT LAGRANGIAN GRID IN THE "D" TECHNIQUE
L. A. Andreevskih, I. M. Epishkov, N. V. Korepova, D. M. Linnik, O. O. Murugova, B. V. Titova, Yu. D. Chernyshev
VANT. Ser.: Mat. Mod. Fiz. Proc 2015. Вып.2. С. 28-39.
The paper describes the calculation technique for 3D gas-dynamics problems on adaptive-in-built Lagrangian grids. The main idea in solving the gas-dynamics problems using adaptive-in-built grids is in the reduction of the initial grid cells in the course of the simulation in local areas with high gradients of gas-dynamic quantities. Such approach enables, in a number of cases, to improve significantly the accuracy of the numerical solution without overloading the simulation process with an overrefined grid, and making the simulation more cost—effective.
Due to its cost-efficiency the adaptive-in-built calculation technique suits well for the 3D set-up problems, in particular, for the high-explosive burning numerical simulation using the Morozov-Karpenko detonation kinetics models. When this model is used the issue of high requirements to the grid cell size arise, which is partly associated with the physical parameters of the applied explosive material. For example, for the penthrite-based high explosive the size of the chemical zone is approximately 0.03 mm. Clearly, the computing grids with the approximately 0.1 mm cells which are usually employed for the simulation of other explosives’ detonation processes (e.g. TATB-based ones) with the Morozov-Karpenko kinetics are not always applicable to the penthanite-based high explosives. Therefore the approach associated with the detonation kinetics model application to 3D simulations could not have been used because of its high requirements to the computing resources.
This paper briefly describes the algorithms of the adaptive-in-built grids application as applied to the Lagrangian "D" technique, and shows the results of the numerical simulation of one experiment for the determination of weak shock effect on the detonation wave propagation in penthrite-based high-explosive rods using the described technique. Keywords: 3D Lagrangian "D" technique, gas dynamics, Morozov-Karpenko detonation kinetics, adaptive-in-built Lagrangian grid.
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