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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 29 - 42 (14page)
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The purpose of the present study is the presentation of the appropriate element and shapefunction in the solution of the neutron diffusion equation in two-dimensional (2D) geometries.
To this end, the multigroup neutron diffusion equation is solved using theGalerkin finite element method in both rectangular and hexagonal reactor cores. Thespatial discretization of the equation is performed using unstructured triangular andquadrilateral finite elements. Calculations are performed using both linear and quadraticapproximations of shape function in the Galerkin finite element method, based on whichresults are compared. Using the power iteration method, the neutron flux distributionswith the corresponding eigenvalue are obtained. The results are then validated against thevalid results for IAEA-2D and BIBLIS-2D benchmark problems. To investigate the dependencyof the results to the type and number of the elements, and shape function order,a sensitivity analysis of the calculations to the mentioned parameters is performed. It isshown that the triangular elements and second order of the shape function in eachelement give the best results in comparison to the other states.
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참고문헌 (13)
참고문헌 신청
A. Hebert / 2008 / A RaviarteThomaseSchneider solution of the diffusion equation in hexagonal geometry / Ann. Nucl. Energy 35 : 363 ~ 376
B. Christensen / 1985 / Three-dimensional Static and Dynamic Reactor Calculations by the Nodal Expansion Method
C. Kang / 1973 / Finite element methods for reactor analysis / Nucl. Sci. Eng 51 : 456 ~ 495
E. Lewis / 1981 / Advances in Nuclear Science and Technology / Springer : 155 ~ 225
E. Varin / 2004 / A User's Guide for DONJON
B. Christensen / 1985 / Three-dimensional Static and Dynamic Reactor Calculations by the Nodal Expansion Method
C. Kang / 1973 / Finite element methods for reactor analysis / Nucl. Sci. Eng 51 : 456 ~ 495
E. Lewis / 1981 / Advances in Nuclear Science and Technology / Springer : 155 ~ 225
E. Varin / 2004 / A User's Guide for DONJON
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