Numerical Solutions of Diffusion Equations in Multi-Dimensional Slab Geometry by Fourier Expansions

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概要

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• Solutions of multi-dimensional neutron diffusion equations in Cartesian coordinates are obtained in the form of regionwise multi-dimensional Fourier series. Equations for two- and three-dimensional problems are derived. A critical and a source problem in two dimensions, and a one-regional source problem in three dimensions are numerically studied.<BR>Two kinds of Fourier series are numerically examined from the viewpoint of rapidity of convergence of the series.<BR>To obtain the value of the flux more accurately, a method is presented which contributes to improvement of the flux profile.

• 一般社団法人 日本原子力学会の論文

著者

• OHTANI Nobuo

  Department of Nuclear Engineering, Kyoto University

• JUNG Jungchung

  Department of Nuclear Engineering, Kyoto University

関連論文

• Numerical Solutions of Diffusion Equations in Multi-Dimensional Slab Geometry by Fourier Expansions
• Numerical Solutions of Discrete-Ordinate Neutron Transport Equations Equivalent to PL Approximation in X-Y Geometry
• Numerical solution of time-dependent two-dimensional P1 equation of neutron transport.

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