ИСТИНА

High-energy electrons beam propagate in a vacuum and interacts with a solid-state barrier. The barrier fracture and electromagnetic field generation accompanies such interaction. Mathematical model of the phenomena includes high-energy electrons transport equation. Collision integral takes into account processes of elastic scattering, impact ionization, bremsstrahlung and medium excitation [1]. We apply Monte Carlo method to compute particle propagation [2, 3]. Current of high-energy electrons generates electromagnetic field, energy release results in melting and deformation of a solid-state barrier. Finite-difference scheme for Maxwell equations is used to compute electromagnetic field [4]. The dynamics of solid-state barrier under influence of electrons flux is modeled by equations of two-temperature fluid dynamics [5]. We consider the influence of fluid dynamics effects on scattering medium properties. It is assumed that electrodynamic and thermomechanical properties of barrier materials change insignificantly during particle life time. The key feature is a direct account of cross-coupling of electromagnetic field and dynamics of solid-state barrier. Finite-difference scheme for Maxwell equations contains convective current density caused by the motion of ionized substance. The Lorentz force is taken into account in equations of fluid dynamics, and the entire system of equations describing the electromagnetic field and substance is conservative. Preliminary results of numerical methods development and testing are represented. References: 1. N. Mott, H. S. W. Massey, “The theory of atomic collisions”, IIL, Moscow, (1949) 2. A. Andrianov, A. Berezin, A. Vorontsov, K. Efimkin, V. Zinchenko, M. Markov, “The radiational electromagnetic fields modeling at the multiprocessor computing systems”, Mahtematical Modeling, 20(3), 98-114 (2008) 3. M. Zhukovskiy, R. Uskov, “Modeling of interaction between gamma rays and matter on hybrid computers”, Mahtematical Modeling, 23(7), 20-32 (2011) 4. A. Berezin, A. Krukov, B. Plyushchenkov, “The method of electromagnetic field with the given wavefront calculation” Mahtematical Modeling, 23(3), 109-126 (2011) 5. V. Gasilov, et al. Towards an Application of High-Performance Computer Systems to 3D Simulations of High Energy Density Plasmas in Z-Pinches // Applications, Tools and Techniques on the Road to Exascale Computing. IOS Press: Advances in Parallel Computing, 2012. Vol. 22, pp. 235-242