ANGLE-ADAPTIVE METHOD FOR SOLVING 2D TRANSPORT EQUATION USING NON-ORTHOGONAL SPACE GRID
R. M. Shagaliev, A. V. Alexeyev, A. I. Bochkov, A. V. Gichuk, V. V. Evdokimov, A. A. Nuzhdin, T. V. Shemyakina
VANT. Ser.: Mat. Mod. Fiz. Proc 2006. Вып.4. С. 3-14.
Angle-adaptive method for solving 2D radiation transport equation and radiation-matter interaction equation is considered. The transport equation is written in a cylindrical frame of reference using non- orthogonal space grid. The numerical solution for 2D transport equation is based on the discrete ordinate method using the approximation in DSn schemes. The main objective of the adaptive method is removing the problem of ray effects. The described here are the problems of the criterion development for automatic determination of the adaptivity level in terms of the grid solution analysis, the re-interpolation of the grid values, and the organization of sweep method to solve the transport equation using the adaptivity.
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