The paper presents a non-homogeneous difference method for shock wave simulation in Lagrangian coordinates. The method explicitly determines shocks as discontinuities of the first kind. The ways of increasing the accuracy of calculated shocks within the scope of the proposed method are suggested. In particular, the author suggests using the difference approach together with some elements of the method of characteristics to determine quantities before the shock front. The algorithm of the modified method is described. A number of methodical calculations are provided. On their basis it’s shown that the new method improves the monotonicity and accuracy of shock calculations.
Author Biographies
Denis Aleksandrovich Varfolomeev, Russian Federal Nuclear Center – Zababakhin All-Russian Scientific Research Institute of Technical Physics, Snezhinsk
Head of the Sector
Kirill Ivanovich Kazin, Russian Federal Nuclear Center – Zababakhin All-Russian Scientific Research Institute of Technical Physics, Snezhinsk
Junior Research Fellow
Valentin Fedorovich Kuropatenko, Russian Federal Nuclear Center – Zababakhin All-Russian Scientific Research Institute of Technical Physics, Snezhinsk
Dr. Sc. (Physics and Mathematics), Professor, Senior Researcher
