This article is cited in 3 scientific papers (total in 3 papers)
NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION
Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method
E. N. Aristovaab, D. F. Baydina
a Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141700, Russia
b Keldysh Institute of Applied Mathematics, Miusskaya sq. 4, Moscow, 125047, Russia
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.
transport equation, quasi-diffusion method, conservative methods.
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E. N. Aristova, D. F. Baydin, “Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method”, Computer Research and Modeling, 3:3 (2011), 279–286
Citation in format AMSBIB
\by E.~N.~Aristova, D.~F.~Baydin
\paper Efficient method of the transport equation calculation in 2D cylindrical and 3D hexagonal geometries for quasi-diffusion method
\jour Computer Research and Modeling
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E. N. Aristova, D. F. Baydin, “Quasidiffusion method realization for fast reactor critical parameters calculation in 3D hexagonal geometry”, Math. Models Comput. Simul., 5:2 (2013), 145–155
I. V. Matyushkin, “Kletochno-avtomatnye metody resheniya klassicheskikh zadach matematicheskoi fiziki na geksagonalnoi setke. Chast 1”, Kompyuternye issledovaniya i modelirovanie, 9:2 (2017), 167–186
G. O. Astafurov, D. A. Manichkin, “Postroenie kubaturnykh formul na sfere, soglasovannykh s pravilnoi geksagonalnoi reshetkoi”, Preprinty IPM im. M. V. Keldysha, 2019, 151, 16 pp.
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