Solution of Diffusion Equation in <I>r</I>-<I>z</I> Geometry by Finite Fourier Transformation
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概要
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It is shown that the monoenergetic diffusion equation in multi-region <I>r</I>-<I>z</I> geometry can be solved by the finite Fourier transformation method which has successfully been applied to <I>x</I>-<I>y</I> geometry. In this method, a system of linear algebraic equations is derived for Fourier co-efficients of fluxes and currents at the material boundaries between regions of constant cross sections, and all the boundary values are determined by solving this equation. <BR>Numerical examples are presented for a problem featuring a fixed source and multiple regions, and the results are compared with those obtained from the current difference method. It is shown that the present method yields a better result with relatively few terms of expansion.
- 一般社団法人 日本原子力学会の論文
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