A study on boundary fluxes approximation in explicit nodal formulations for the solution of the two-dimensional neutron transport equation
| Autor: | K. Rui, Solange Regina Cromianski, Liliane Basso Barichello |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Neutron transport
020209 energy Energy Engineering and Power Technology 02 engineering and technology 010501 environmental sciences 01 natural sciences Exponential function Transverse plane Nuclear Energy and Engineering 0202 electrical engineering electronic engineering information engineering Applied mathematics Polygon mesh Safety Risk Reliability and Quality Waste Management and Disposal 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Progress in Nuclear Energy. 110:354-363 |
| ISSN: | 0149-1970 |
| Popis: | When deriving nodal methods, the known process of transverse integration introduces additional unknowns to the problem, related to the leakage terms. Additional auxiliary equations must be proposed in order to close the system and to allow its solution. In this work, a study on approximations to those unknowns, fluxes on the contours of the nodes, is carried out. In particular, two-dimensional fixed-source problems are analyzed. Therefore, three alternative proposals of approximations are considered: constant, linear and exponential functions. Such approaches are employed along with of the ADO method, which is used to solve the one-dimensional transversely integrated equations. Numerical results for section averaged scalar fluxes are presented and compared with other nodal schemes, showing some differences among the various approximations, mainly for coarse meshes, although satisfactory comparisons are achieved in the source region. |
| Databáze: | OpenAIRE |
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