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SPECIFIC FEATURES OF THE DETONATION COMPUTATIONS WITH THE DICTATED WAVE FRONT VELOCITY USING EULERIAN GRIDS

Yu. A. Bondarenko
VANT. Ser.: Mat. Mod. Fiz. Proc 2010. Вып.3. С. 38-45.

The paper analyzes results of 1D hydrodynamic computations of the normal detonation using Eulerian grids. A significant effect of a slightly violated (sim1%) conservation of the total energy on the detonation computation accuracy is shown. A self-similar solution with regard to the negative total energy disbalance with the given velocity of the energy release front has been built. There is a good agreement between the results of computations with non-conservative schemes and the self-similar solution features. It has been shown that with the higher accuracy methods used to recalculate the hydrodynamic quantity values from a Lagrangian grid to the Eulerian one a significantly reduced amount of calculations with the accuracy preserved is possible.

Keywords: gas dynamics in Eulerian variables, detonation, numerical methods, self-similar solutions, test problems, conservativeness, computation accuracy, nonconservation of total energy.








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