The numerical method is developed for solving the multigroup non-stationary transport equation in two-dimensional axial geometry on regular grids formed by arbitrary convex quadrangles. The integral-interpolation method is used for deriving the finite-difference system of equations. The additional equations are obtained on the base of the analysis of 'illumination' of each calculated cell. For solving the system of non-stationary equations the semi-explicit method is used. The authors developed this method earlier for solving the non-stationary transport equation on rectangular grids. The special analytical benchmarks are used for testing this technique. The obtained numerical results have demonstrated high efficiency of the suggested method.

Mathematical modelling in actual problems of science and technics