Issue No 1, 1982 |
PARTICLE SCATTERING SIMULATION WITH MONTE-CARLO METHOD
A. N. Subbotin, N. M. Ghentsov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 3-9.
Anisotropic scattering simulation algorithms for radiation transport problems, solved by the Monte-Carlo method, are given. Obtaining cost-effective, “halt-free” computation formulae is based on using discontinuous functions to construct a moving coordinate system, associated with the particle flight direct ion.
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| MAXWELL DISTRIBUTION SAMPLING IN A RELATIVISTIC CASE A. I. Orlov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 10-11.
When using the Monte-Carlo method to calculate gamma-ray quantum propagation through a high- -temperature medium it becomes necessary to take into account the medium electron motion. The Maxwell distribution for an electron pulse in a relativistic case is such, that direct sampling seems to be impossible. An approach is proposed, which majorizes the Maxwell distrubution to represent it with a sufficiently high accuracy. A sampling algorithm is constructed and its efficiency is shown to be about 88-100 per cent, depending on the medium temperature.
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| SOLVING THOMAS-FERMI EQUATIONS FOR A MATERIAL MIXTURE WITH AN ITERATION RUN METHOD A. F. Nikiforov, V. G. Novikov, V. B. Uvarov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 12-17.
A simple, cost-effective method for solving a system of Thomas-Fermi equations for an arbitrary material mixture with given temperatures and densities is proposed.
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| USING FOKKER-PLANCK APPROXIMATION TO SOLVE THE FAST ELECTRON TRANSPORT PROBLEM BY THE MONTE-CARLO METHOD N. V. Ivanov, Yu. K. Kochubey
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 18-23.
A new algorithm for solving charged particle transport problems with the Monte-Carlo method is proposed. The algorithm is based on the Fokker-Planck approximation used for describing small-angle collisions.
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| SOME ASPECTS OF METHODS FOR 2-D MAGNETIC COLLISIONLESS PLASMA FLOW NUMERICAL SIMULATIONS A. I. Golubev
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 24-27.
A method for solving self-consistent electromagnetic field equations, obtained from the plasma flow investigation with a hybrid model, is considered. A difference scheme and stability conditions are given. A method for deriving analytic nonliniear equation solutions is discussed.
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| ON RADIATION PROPAGATION IN A FIXED MEDIUM G. V. Dumkina, M. Yu. Kozmanov
Vant. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki. 1982. No 1. P. 27-30.
Maximum/minimum principle and a theorem showing the existence of solutions for energy and time-dependent radiation transport equations in a broad sense are proved. Some accurate solutions are given which can be used for difference method checking.
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