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The finite-element method for multigroup neutron transport: Anisotropic scattering in 1-D slab geometry |
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| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, Fenghaodong Road, Haidian District, Beijing 100094, China;2. Laboratory of Computational Physics, PO Box 8009, Beijing, 100088, China;1. Fundamental Science on Nuclear Safety and Simulation Technology Laboratory, Harbin Engineering University, Harbin, China;2. Purdue University, West Lafayette, IN, US;1. CCS-2, Los Alamos National Laboratory, P.O. Box 1663, Los Alamos, NM 87545, United States;2. University of Michigan Department of Nuclear Engineering and Radiological Sciences, 2355 Bonisteel Blvd., Ann Arbor, MI 48109, United States;1. Department of Economics, Susquehanna University, United States;2. INRA, UMR Economie Publique, France;3. Department of Health Promotion, University of South Carolina, United States;4. Willard Sparks Endowed Chair at Oklahoma State University, United States |
| Abstract: | Proof-tests on 1-D multigroup neutron transport problems are reported for strong anisotropic scattering. These tests have been undertaken as part of the validation of the 3-D multigroup finite-element transport code fel tran for ansisotropic scattering media. To illustrate the treatment of within-group and intergroup anisotropic scattering in the finite-element method the relevant theory is outlined. Ingroup scattering is checked using the backward-forward-isotropic (BFI) scattering law for source and eigenvalue problems. With this law anisotropic scattering problems can be transformed into equivalent isotropic scattering problems. In this way the well-validated isotropic scattering version of fel tran is used to validate the anisotropic version. Intergroup scattering effects are checked by solving few-group source problems for P1 and P3 scattering and the BFI scattering law. For P1 and P3 scattering checks are made with the discrete-ordinate finite-difference code anisn and the spherical harmonics finite-difference code marc/pn. For the BFI scattering law comparison is made with two-group exact solutions of Williams (1985) for 1-D systems. |
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