ALGORITHMS USED IN TIM CODE TO CONTROL VELOCITY OF DETONATION FRONT PROPARATION
| S. S. Sokolov, | | V. N. Motlokhov |
VANT. Ser.: Mat. Mod. Fiz. Proc. 2021. Вып.2. С. 44-55.
The paper describes three algorithms used to control the velocity of the HE detonation front propagation, which were developed for unstructured polygonal and polyhedral grids. The first of them is the exact control algorithm, when the detonation time for all HE-containing cells of the grid is determined once at the beginning of computations. The second is the step-by-step control algorithm that allows specifying in the computation process the time of the detonation wave arrival at each cell using the times of its arrival at neighboring cells. The both algorithms are cost-effective, however, they have certain restrictions for a wide range of applied problems. The third algorithm represents by itself an improved version of the step-by-step control algorithm. In this algorithm the accuracy of calculating the detonation time for each HE-containing cell is improved, because the direction of the moving detonation wave front is taken into account. In contrast to the basic step-by-step control algorithm, where the cell detonation time is corrected in the process of successively considering each detonated neighboring cell, in the third algorithm the detonation time for a given cell is corrected by considering neighbor cells from the first layer of cells surrounding the given cell. The third one is the general-purpose algorithm that can be applied for calculations with the HE detonation control in regions of complex geometries, however, this is a time consuming algorithm in comparison with the first two algorithms. To demonstrate the applicability of all algorithms, the paper presents numerical results for several methodological problems on the simulation of a detonation wave propagating in HE using the TIM and TIM-2D codes for solving the continuum mechanics problem on unstructured polygonal and polyhedral grids with an arbitrary number of links at nodes. Keywords: the TIM code, a high explosive, steady-state detonation, detonation wave front, detonation wave propagation velocity, unstructured grids.
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English
