SPECIFIC FEATURES OF SOLUTIONS DURING SIMULATION OF NORMAL DETONATION WITH THE INDUCED ENERGY RELEASE FRONT MOVING WITH THE GIVEN VELOCITY

Yu. A. Bondarenko
VANT. Ser.: Mat. Mod. Fiz. Proc 2009. Вып.1. С. 3-18.

The paper considers a popular computational method for normal Chapman-Jouguet detonation using the induced front of instant energy release moving with the given mass velocity Results of computations for convergence using various difference schemes of the second approximation order are described. If artificial viscosity is used for compression only, the numerical solution on a very fine grid changes over from the Chapman-Jouguet type solution to the abnormal self-similar solution with forward compression shock wave and rarefaction shock at the point of induced energy release. Such changeover to the abnormal self-similar solution is not observed with a rather high artificial viscosity during rarefaction, or with no artificial viscosity (even during compression). These facts can be attributed to the specific features of admissibility conditions of rarefaction shocks occurring on the wave front of induced energy release. The abnormal limit solution occurs with the governing role of the scheme variance during rarefaction.

Keywords: normal detonation, running energy release, self-similar solution, rarefaction shock, admissive jumps, viscosity, dispersion.

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