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- Composite Solutions for Boltzmann Transport Equation Using Discontinuous Finite Elements
- Discontinuous Finite Element Solution of the Boltzmann Transport Equation for Eigenvalue Problems in Slab Geometry
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題名 | Composite Solutions for Boltzmann Transport Equation Using Discontinuous Finite Elements=應用不連續性有限元素之方法解析波茲曼輸運方程式 |
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作者 | Mirza,Anwar M.; Qamar,Shamsul; |
期刊 | 核子科學 |
出版日期 | 19981000 |
卷期 | 35:5 1998.10[民87.10] |
頁次 | 頁303-312 |
分類號 | 449.1 |
語文 | eng |
關鍵詞 | 不連續性有限元素; 波茲曼輸運方程式; Finite element method; Boltzmann transport equation; Variational principles; Discontinuous formulation; Computational modeling; |
英文摘要 | A discontinuous finite element based methodology for solving Boltzmann Transport Equation is presented. The investigations have been confined to the class of one dimensional slab geometry problems with anisotropic in-group scattering. A computer program DIFENTO has been written which solves such problems using both continuous and discontinuous finite elements. In this program, the classical variational principle K �� has been employed for continuous formulation, while K ���� variational principle has been used for the discontinuous formulation. The spatial variations of the angular flux have been modeled by finite elements, while Legendre polynomials have been utilized to represent the directional dependence. Composite solutions have been obtained by using different orders of angular approximations in different parts of a system. An overall reduction in the number of nodal coefficients has been achieved without loss of accuracy, with better utilization of computational resources. The method also provides and efficient way of handling physically difficult situations such as sharply changing angular flux. Using the new methodology, various nuclear reactor shielding and lattice cell problems were solved. The solutions were compared with the previously published results. |
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