Angular eigenfunctions for elliptical problems in two-region domains with interior corners
- Univ. of Karlsruhe (Germany)
Two-region domains are frequently encountered in neutronics calculations of nuclear reactor cores-both in hexagonal and rectangular geometries. A two-region domain that is typical of both geometries is depicted. In particular, the angle a would take on the values {alpha} = 2{pi}/3 and {alpha} = {pi}/4 in hexagonal and rectangular geometry, respectively. The analytical solution of the multigroup diffusion equation (MGDE) at interior corners in two-dimensional multiregion domains has been derived. The explicit expressions of the angular eigenfunctions for two-region domains, though, were not presented there because these eigenfunctions are generally applicable for solving not only the MGDE but also for solving any elliptical problems (i.e., problems involving Laplace-type operators) in a two-region domain. It is the aim of this paper to present the complete expressions of these angular eigenfunctions - first for an arbitrary angle a and then for the two most often encountered geometries in nuclear reactor design, namely, hexagonal ({alpha} = 2{pi}/3) and rectangular ({alpha} = {pi}/4) geometries. These results are new and as already mentioned-significant for all elliptical problems in two-dimensional two-region domains.
- OSTI ID:
- 436892
- Report Number(s):
- CONF-9606116-; ISSN 0003-018X; TRN: 96:005275-0123
- Journal Information:
- Transactions of the American Nuclear Society, Vol. 74; Conference: Annual meeting of the American Nuclear Society (ANS), Reno, NV (United States), 16-20 Jun 1996; Other Information: PBD: 1996
- Country of Publication:
- United States
- Language:
- English
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