ABOUT ONE VERSION OF THE METHOD OF SELETING DIAGONAL ELEMENTS
A.A. Shestakov VANT. Ser.: Mat. Mod. Fiz. Rroc 1990. Вып.2. С. 7175.
The paper considers the solution of the radiation transport equation in multigroup P_{1} approximation jointly with the energy equation. To accelerate the iteration process convergence when solving a nonlinear system of radiation transport equations and energy equation, the method of selecting diagonal elements with the linearization of all nonlinear terms with respect to temperature, which provides a high iteration convergence speed, both in optically dense and optically transparent media, is used. The paper suggests one of methods to linearize the absorption constant in a simplified form leading to the reduction of computation costs in problems with complex absorption constants.
