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COMBINED ALGORITHM OF PARALLELIZING SOLUTION OF 2-D TRANSFER EQUATION ON NONORTHOGONAL SPATIAL GRIDS

R. M. Shagaliev, I. M. Belyakov, V. A. Shumilin, A. V. Alekseev, O. V. Butneva, A. Yu. Kostenko, A. A. Nuzhdin, N. P. Pleteneva, V. Yu. Rezchikov, S. V. Subbot
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.1. С. 3-8.

The paper deals with the creation of a combined algorithm for parallelizing numerical solution of 2-D equation of photon transfer with consideration of radiation interaction with medium. The equations are written in a cylinder coordinate system, structured nonorthogonal grids are used for spatial grids. The combined algorithm presupposes parallelizing numerical solution of transfer equation in spatial variables and in an energy one. The description of a parallel method and the results of numerical studies of efficiency on model problems are presented.



SOLUTION TECHNIQUE FOR 2-D TRANSFER EQUATION ON NONREGULAR MULTIANGULAR GRIDS

A. N. Moskvin, V. A. Shumilin
VANT. Ser.: Mat. Mod. Fiz. Proc 2005. Вып.1. С. 31-40.

A conservative finite-difference scheme is built on multiangular spatial grids for solving 2-D transfer equation. A difference scheme is built in two steps. In the first step intermediate values of an unknown function in a calculational cell are found by an approximate solution of the equation of transfer along characteristics. In the second step a correction multiplier is found in a cell from a balance equation and all obtained values of an unknown function are multiplied by this multiplier. Economic algorithms implementing a method of point-to-point computations on spatial grids with arbitrary polygons as elements are developed. The technique efficiency is illustrated by numerical calculations.










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