Numerical simulation of the impact of aluminum plates using the CABARET scheme

Title	Numerical simulation of the impact of aluminum plates using the CABARET scheme
Authors	Y. E. Gayvoronskaya¹, Y. N. Deryugin¹, V. M. Goloviznin¹ ¹Branch of Lomonosov Moscow State University in Sarov
Annotation	The paper considers numerical simulation of the impact of an aluminum plate on a fixed aluminum plate. The calculation is performed for a one-dimensional elastic-plastic model in Lagrangian coordinates. The main parameters are velocity, pressure, specific volume, internal energy, and stress deviator components. The CABARET scheme is used for the solution. It is used to calculate the propagation of a shock wave, its reflection from the boundaries and changes in the stress state of the material. Based on the simulation results, the distributions of pressure, velocity, and stress at various points in time are analyzed.
Keywords	CABARET scheme, impact of aluminum plates, numerical modeling, elasto-plasticity, shock wave.
Citation	Gayvoronskaya Y. E., Deryugin Y. N., Goloviznin V. M. ''Numerical simulation of the impact of aluminum plates using the CABARET scheme'' [Electronic resource]. Mathematical modeling, numerical methods, and software systems: Collection of materials from the 12th All‑Russian Scientific Youth School‑Seminar named after E. V. Voskresensky (Saransk, July 21–24, 2026). - pp. 45-49. Available at: https://conf.svmo.ru/files/2026/papers/paper71.pdf. - Date of access: 25.09.2026.