Even-parity Boltzmann transport equation applied for response (contributon) flux calculation based on the spatial channel theory
An even parity approach for the detection of main stream channels of response flux inside the material is presented. The product of forward and adjoint flux is called the response flux which plays an important role in assessing the performance of shielding materials. Based on two distinct maximum pr...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2018-06, Vol.75 (12), p.4378-4396 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Yousefi, Mostafa Zolfaghari, A. Minuchehr, A. Abbassi, M.R. |
| description | An even parity approach for the detection of main stream channels of response flux inside the material is presented. The product of forward and adjoint flux is called the response flux which plays an important role in assessing the performance of shielding materials. Based on two distinct maximum principles, even parity forward and adjoint fluxes (ψ and ψ†) are obtained respectively. Weak and strong points of shielding materials can be well understood using the spatial channel theory and this analysis is performed using the even parity Boltzmann transport equation. The PN method as well as the finite element method are employed to approximate the angular and spatial components of the fluxes, respectively. Also, we extend the concept of spatial channel theory to fissile materials. A number of test cases are provided to evaluate the performance of the proposed approach. |
| doi_str_mv | 10.1016/j.camwa.2018.03.036 |
| format | Article |
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| source | Access via ScienceDirect (Elsevier); EZB-FREE-00999 freely available EZB journals |
| subjects | Boltzmann transport equation Chemical reactors Contributon transport Detector response Finite element method Fissionable materials Fluxes Forward and adjoint fluxes Mathematical analysis Monte Carlo simulation Nuclear fission Nuclear fuels Nuclear physics Parity Response flux Shielding Shielding analysis Simulation Spatial channel theory Transport equations |
| title | Even-parity Boltzmann transport equation applied for response (contributon) flux calculation based on the spatial channel theory |
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