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This article is cited in 2 scientific papers (total in 2 papers)
An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids
N. I. Kokonkov, O. V. Nikolaeva Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Abstract:
A two-step iterative $\mathrm{KP}_1$ method for solving systems of grid equations that approximate the integro-differential transport equation in $\mathrm{3D}$ domains on unstructured grids using nodal $\mathrm{S_N}$ methods is described. Results of testing the efficiency of the proposed method in solving benchmark problems of reactor protection on tetrahedral grids are presented.
Key words:
transport equation, $\mathrm{3D}$ unstructured grids, iterative $\mathrm{KP}_1$ and DSA methods.
Received: 27.01.2015
Citation:
N. I. Kokonkov, O. V. Nikolaeva, “An iterative $\mathrm{KP}_1$ method for solving the transport equation in $\mathrm{3D}$ domains on unstructured grids”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1727–1740; Comput. Math. Math. Phys., 55:10 (2015), 1698–1712
Linking options:
https://www.mathnet.ru/eng/zvmmf10286 https://www.mathnet.ru/eng/zvmmf/v55/i10/p1727
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Abstract page: | 269 | Full-text PDF : | 125 | References: | 87 | First page: | 4 |
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