NUMERICAL SOLVING THE 2D TRANSPORT EQUATION BY USING THE ADAPTIVE-BY-SPACE METHOD OF FRACTIONAL GRIDS
R. M. Shagaliev, A. V. Alekseev, I. M. Belyakov, A. V. Gichuk, V. V. Evdokimov, A. N. Moskvin, A. A. Nuzhdin, N. P. Pleteneva, T. V. Shemyakina
VANT. Ser.: Mat. Mod. Fiz. Proc 2004. Вып.4. С. 16-26.
The adaptive-by-space-variables algorithm of grid fractioning, used at numerical solving 2D transport equation, is described in the paper. The results of numerical research of this method, conducted on the example of radiation spread problem computation, are presented. The results obtained by using the adaptive methods, were compared to those, obtained by using standard scheme without adaptivity. For both computations the computation time was determined. The computation time gain, comparing to the standard method, at obtaining approximately the same accuracy of the result, was taken as the adaptive method efficiency criterion.
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