한국원자력학회:학술대회논문집 (Proceedings of the Korean Nuclear Society Conference)
- 한국원자력학회 1996년도 춘계학술발표회논문집(1)
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- Pages.157-162
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- 1996
A Spectral-Galerkin Nodal Method for Salving the Two-Dimensional Multigroup Diffusion Equations
- Hongwu Cheng (Korea Advanced Institute of Science and Technology Department of Nuclear Engineering) ;
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Cho, Nam-Zin
(Korea Advanced Institute of Science and Technology Department of Nuclear Engineering)
- 발행 : 1996.05.01
초록
A novel nodal method is developed for the two-dimensional multi-group diffusion equations based on the Spectral-Galerkin approach. In this study, the nodal diffusion equations with Robin boundary condition are reformulated in a weak (variational) form, which is then approximated spatially by choosing appropriate basis functions. For the nodal coupling relations between the neighbouring nodes, the continuity conditions of partial currents are utilized. The resulting discrete systems with sparse structured matrices are solved by the Preconditioned Conjugate Gradient Method (PCG) and sweeping technique. The method is validated on two test problems.
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