Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method

Aristova E.N., Baydin D.F.
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Efficient method for numerical solving of the steady transport equation in x-y-z-geometry has been suggested. The equation is being solved on hexagonal mesh, reflecting real structure of the reactor active zone cross-section. Method of characteristics is used, that inherits all the outcomes from the two-dimensional r-z-geometry calculation. Two variants of the method of characteristics have been applied for solving the transport equation in a cell: method of short characteristics and its conservative modification. It has been confirmed that in three-dimensional geometry conservative method has advantage over pure characteristic and it produces highly accurate solution, especially for quasi-diffusion tensor components.

Keywords: transport equation, quasi-diffusion method, conservative methods
Citation in English: Aristova E.N., Baydin D.F. Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method // Computer Research and Modeling, 2011, vol. 3, no. 3, pp. 279-286
Citation in English: Aristova E.N., Baydin D.F. Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method // Computer Research and Modeling, 2011, vol. 3, no. 3, pp. 279-286
DOI: 10.20537/2076-7633-2011-3-3-279-286
URL: http://crm-en.ics.org.ru/journal/article/1808/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
According to Crossref, this article is cited by:
  • I. V. Matyushkin. Cellular automata methods in mathematical physics classical problems solving on hexagonal grid. Part 1. // Computer Research and Modeling. — 2017. — V. 9, no. 2. — P. 167. DOI: 10.20537/2076-7633-2017-9-2-167-186
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Citations: 4 (RSCI).

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