ИСТИНА

We consider electromagnetic field emerging during particle accelerator experiment [1]. High-energy electrons beam spreads in a gas medium, generating self-consistent electromagnetic field. Mathematical model of the phenomena includes high-energy electrons transport equation. Collision’s integral takes into account processes of elastic scattering, impact ionization, bremsstrahlung and medium excitation [2]. To compute particle propagation in a gas medium we apply modifications of particle-in-cell method [3]. Electromagnetic field is composed of currents generated by high-energy electrons and by conductance current in ionized medium. It is obtained from finite-difference scheme for Maxwell equations [4]. The dynamics of gas 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 gas substance change insignificantly during particle life time. The key feature is a direct account of cross-coupling of electromagnetic field and dynamics of gas medium. 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 presented. Acknowledgement : The reported study was partially supported by RFBR, research project No. 17-01-00301, 15-01-03027. References: 1. A. Andrianov A., A. Berezin, A., A. Vorontsov, K. Efimkin, V. Zinchenko, M. Markov, A. Chlenov, ”Modeling the electron beam from the accelerator LIA-10 on the multiprocessor computer system”, Mahtematical Modeling, 22(2), 29-44 (2010) 2. N. Mott, H. S. W. Massey, “The theory of atomic collisions”, IIL, Moscow, (1949) 3. 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) 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