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- W2080857562 abstract "Construction of an analogue of a monotonic difference scheme is considered for non-self-conjugated quasi-diffusion (QD) equations in the r-z geometry. For this purpose, the coordinates are rotated in the plane (r, z) such that the diagonal form of the QD tensor in the center of a cell results and the non-diagonal elements on the cell edges are accordingly minimized. This scheme is similar to the scheme offered for the self-conjugated problem (Aristova and Kolpakov, 1991 Aristova, E. N. and Kolpakov, A. V. 1991. Combined finite-difference scheme for approximation of the elliptic operator on an oblique-angled cell. Mathematical Modeling, 3(4): 93–102. [Google Scholar]). The hybrid difference scheme is used in calculations that are non-monotonic in domains in which the solution is smooth and it is an analogue of a monotonic calculation on contact boundaries. A non-stationary problem of external isotropic radiation propagation into a cylindrical pipe is considered based on the suggested scheme. A light wave incident normally to the contact boundary makes the problem of external radiation propagation into a pipe a good test for checking the quality of the scheme." @default.
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- W2080857562 date "2008-12-18" @default.
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- W2080857562 title "Simulation of Radiation Transport in a Channel Based on the Quasi-Diffusion Method" @default.
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- W2080857562 doi "https://doi.org/10.1080/00411450802522912" @default.
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