Abstract:
The Cauchy problem for the kinetic and electrodynamic equations describing the propagation of an electron flow in a scattering medium and generation of self-consistent electromagnetic field is considered. The electron distribution function is defined in the space of finitely supported generalized functions. Algorithms for the simulation of scattering in the approximation of single and multiple collisions in a time step are presented. Specificities of application of this algorithm in a dense scattering medium and ionized region of large volume are considered.
Key words:
kinetic equations, electromagnetic equations, algorithm for simulation of scattering in approximation of single and multiple collisions, particle method.
Citation:
A. V. Berezin, A. S. Vorontsov, M. E. Zhukovskiy, M. B. Markov, S. V. Parot'kin, “Particle method for electrons in a scattering medium”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1566–1578; Comput. Math. Math. Phys., 55:9 (2015), 1534–1546
This publication is cited in the following 31 articles:
G. V. Krivovichev, “Raznostnye skhemy rasschepleniya dlya sistemy odnomernykh uravnenii gemodinamiki”, Kompyuternye issledovaniya i modelirovanie, 16:2 (2024), 459–488
M. E. Zhukovskiy, M. B. Markov, S. V. Podolyako, “On the preparation of data for modeling of the photons and electrons transport”, Keldysh Institute preprints, 2023, 19–24
A. V. Berezin, M. B. Markov, O. S. Kosarev, S. V. Parot'kin, I. A. Tarakanov, “On the simulation of gas ionization by fast electrons”, Math. Models Comput. Simul., 14:4 (2022), 625–632
B. N. Chetverushkin, M. B. Markov, R. V. Uskov, “On the parallelization of the particle method for hybrid supercomputers”, Dokl. Math., 106:1 (2022), 225–229
A. V. Berezin, N. V. Zalozhnyi, O. S. Kosarev, M. B. Markov, I. A. Tarakanov, “Realizatsiya metoda chastits na kompyutere s graficheskimi uskoritelyami”, Preprinty IPM im. M. V. Keldysha, 2022, 061, 21 pp.
V. A. Soboleva, M. E. Zhukovskiy, “On modeling sources of radiation-induced effects in heterogeneous materials”, Math. Models Comput. Simul., 14:5 (2022), 829–836
F. N. Voronin, M. B. Markov, S. V. Parot'kin, “Relaxation of the volume charge created by the electron flow in the air”, Math. Models Comput. Simul., 14:6 (2022), 926–936
A. V. Sysenko, “The 2D model of the coaxial cable line radiational electromagnetic inducing”, Math. Models Comput. Simul., 15:1 (2023), 23–33
Yu. A. Volkov, M. B. Markov, I. A. Tarakanov, “Statistical particle in cell for solving the phonon Boltzmann equation”, Keldysh Institute preprints, 2022, 96–16
A. V. Berezin, A. S. Dukhanin, O. S. Kosarev, M. B. Markov, S. V. Parotkin, Yu. V. Pomazan, I. A. Tarakanov, “O modelirovanii ionizatsii gaza bystrymi elektronami”, Preprinty IPM im. M. V. Keldysha, 2021, 046, 12 pp.
F. N. Voronin, A. S. Dukhanin, E. D. Kazakov, O. S. Kosarev, M. B. Markov, Yu. V. Pomazan, I. A. Tarakanov, “Modelirovanie perenosa izlucheniya v uskoritele elektronov”, Preprinty IPM im. M. V. Keldysha, 2021, 047, 14 pp.
F. N. Voronin, E. D. Kazakov, O. S. Kosarev, M. B. Markov, I. A. Tarakanov, “Simulation of the capacitor discharge current in the bremsstrahlung of the electron accelerator”, Math. Models Comput. Simul., 14:4 (2022), 567–577
Kosarev O.S., Kraynyukov I V., Markov M.B., Potapenko I A., Tarakanov I.A., Ulyanenkov V R., Zhukov D.A., “On Averaging the Scattering Properties of a Heterogeneous Medium in a Model of Penetrating Radiation Transport”, AIP Conference Proceedings, 2318, eds. Mikrin E., Rogozin D., Aleksandrov A., Sadovnichy V., Fedorov I., Mayorova V., Amer Inst Physics, 2021, 180008
A. V. Berezin, M. B. Markov, S. V. Parot'kin, “On the particle method for electrons in an inhomogeneous scattering medium”, Comput. Math. Math. Phys., 61:9 (2021), 1521–1531
O. V. Ilin, “Granichnye usloviya dlya reshetochnykh uravnenii Boltsmana v prilozheniyakh k zadacham gemodinamiki”, Kompyuternye issledovaniya i modelirovanie, 12:4 (2020), 865–882
O. V. Ilin, “Modelirovanie odnomernykh nelineinykh pulsovykh voln v elastichnykh sosudakh na osnove reshetochnykh uravnenii Boltsmana”, Kompyuternye issledovaniya i modelirovanie, 11:4 (2019), 707–722
Yu. A. Volkov, M. B. Markov, “Priblizhenie Vlasova dlya gaza fononov”, Preprinty IPM im. M. V. Keldysha, 2019, 083, 15 pp.
Yu. A. Volkov, K. K. Inozemtseva, M. B. Markov, I. A. Tarakanov, “Matematicheskaya model radiatsionnogo nagreva izdelii mikroelektroniki”, Preprinty IPM im. M. V. Keldysha, 2018, 099, 12 pp.
V. A. Egorova, K. K. Inozemtseva, M. E. Zhukovskii, “Podkhod k modelirovaniyu radiatsionno-indutsirovannykh vtorichnykh effektov v slozhnykh tekhnicheskikh ob'ektakh”, Preprinty IPM im. M. V. Keldysha, 2018, 110, 24 pp.
A. V. Berezin, M. B. Markov, S. V. Parotkin, A. V. Sysenko, “Algoritm metoda chastits v rasseivayuschei srede”, Preprinty IPM im. M. V. Keldysha, 2018, 115, 12 pp.
Citation in format AMSBIB
Contact us: