Development of two parallel algorithms for numerical simulation of interaction of radiation with substance

Abstract

 We present the technique of modeling the interaction of ionizing radiation with a substance, which aimed to solve radiation transfer problems in case of mixture of substances for a number of physical and mathematical problem statements. The technique involves the calculation of the contribution of each accounted spectral line, computation of populations levels in accordance with the equations of the kinetics; the finding of the radiation intensity in accordance with the spectral transfer equation with coefficients calculated on populations levels and electronic temperature, which satisfies the equation of the energy balance. Solving the problem in a comprehensive statements is connected with large amounts of computing and requires the application of parallel technologies. The authors design the technique which is based on implementing two different methods of the numerical solution and developing two parallel algorithms. The proposed algorithms and designed codes are allowed us to carry out simulation of radiation transfer for case of plane layer of substance taking into consideration a large number of spectral lines (up to 1000) in acceptable time with reasonable accuracy. The results of numerical experiments are presented.