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題 名 | Discontinuous Finite Element Treatment of Duct Problems in Transport Calculations=應用不連續性有限元素之方法解析輸送計算中之導管問題 |
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作 者 | Mirza,Anwar M.; Qamar,Shamsul; | 書刊名 | 核子科學 |
卷 期 | 36:6 1999.12[民88.12] |
頁 次 | 頁369-378 |
分類號 | 449.1 |
關鍵詞 | 不連續性有限元素; 輸送計算; 導管; Finite element method; Boltzmann transport equation; Variational principles; Discontinuous formulation; Computational modeling; Voids; |
語 文 | 英文(English) |
英文摘要 | A discontinuous finite element approach is presented to solve the even-parity Boltzmann transport equation for duct problems. Presence of ducts in a system results in the streaming of particles and hence requires the employment of higher order angular approximations to model the angular flux. Conventional schemes based on the use of continuous trial functions require the same order of angular approximations to be used everywhere in the system, resulting in wastage of computational resources. Numerical investigations for the test problems presented in this paper indicate that the discontinuous finite elements eliminate the above problems and lead to computationally efficient and economical methods. They are also found to be more suitable for treating sharp changes in the angular flux at duct-absorber interfaces. The new approach provides a single-pass alternate to extrapolation and iterative schemes which need multiple passes of the solution strategy to acquire convergence. The method has been tested with the help of three cdse studies, namely, straight duct, dog-leg duct and source within a void problems. All results have been verified against those obtained from semi-analytical line of sight integral method, Monte Carlo simulations and previously published results. |
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