The Algorithm for Solving the Multigroup Steady-State Transport Equation for Neutrons and Gamma - Quanta on Grids, Agreed with the Structure of Calculation Domain

The numerical algorithm is developed for solving the multigroup steady-state transport equation for neutrons and gamma - quanta in two-dimensional r-z geometry by the method of discrete ordinates on regular grids agreed with the structure of calculation domain and formed by arbitrary convex quadrangles. The conservative scheme is derived with the help of integral-interpolation method. The additional relations are used for closing the system of finite-difference equations. The type and the number of these relations over spatial variables are determined by the 'illumination' of quadrangular cell. The results of testing of the suggested scheme are given in the final part of the work.