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Preprints of the Keldysh Institute of Applied Mathematics, 2015, 007, 28 pp.
(Mi ipmp1970)
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Consistent $\mathrm{P_1}$ Synthetic Acceleration of Inner Transport Iterations in $\mathrm{3D}$ Geometry
N. I. Kokonkov, O. V. Nikolaeva
Abstract:
For the $\mathrm{KP_1}$ iterative transport method the production procedure of its “$\mathrm{P_1}$” step consistent with an arbitrary spatial approximation of the $\mathrm{S_N}$ transport equation in $\mathrm{3D}$ Cartesian geometry is presented. The procedure is applied to the nodal schemes approximating the within-group $\mathrm{S_N}$ transport equation on the unstructured tetrahedral mesh. Produced $\mathrm{P_1}$ synthetic accelerations are experimentally shown to be numerically effective on several model problems.
Keywords:
transport iterations acceleration, $\mathrm{KP_1}$ method, $\mathrm{DSA}$ method, nodal scheme, $\mathrm{3D}$ unstructured mesh.
Citation:
N. I. Kokonkov, O. V. Nikolaeva, “Consistent $\mathrm{P_1}$ Synthetic Acceleration of Inner Transport Iterations in $\mathrm{3D}$ Geometry”, Keldysh Institute preprints, 2015, 007, 28 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp1970 https://www.mathnet.ru/eng/ipmp/y2015/p7
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Statistics & downloads: |
Abstract page: | 137 | Full-text PDF : | 56 | References: | 34 |
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