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A double finite element method with accurate reflective boundary condition treatment for three-dimensional transport

✍ Scribed by Toichiro Fujimura

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
676 KB
Volume
82
Category
Article
ISSN
0010-4655

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✦ Synopsis

This paper presents an accurate formulation for the static multi-group neutron transport equation in the three-dimensional geometry. The variational formulation involves the use of a double finite element method, in which the space and angle finite elements are employed. Multilateral prism geometry is adopted to simulate the reactor configurations, and an exact discretization of the system equation for arbitrary element partitioning is derived when the reflective boundary condition is applied. In order to verify the accuracy of the present method, some benchmark calculations were performed. The results are shown in comparison with those by other solution methods.

πŸ“œ SIMILAR VOLUMES

Finite element beam propagation method w
Finite element beam propagation method with perfectly matched layer boundary conditions for three-dimensional optical waveguides
✍ Y. Tsuji; M. Koshiba πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 218 KB πŸ‘ 2 views

The perfectly matched layer boundary condition is incorporated into the beam propagation method based on a "nite element scheme for 3-D optical waveguides. Not only an approximate scalar formulation but a full-wave formulation is presented. Its e!ectiveness is veri"ed by way of numerical examples.