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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