Monotonization of a highly accurate bicompact scheme for a stationary multidimensional transport equation
- Autores: Aristova E.1,2, Rogov B.1,2, Chikitkin A.2
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Afiliações:
- Keldysh Institute of Applied Mathematics
- Moscow Institute of Physics and Technology
- Edição: Volume 8, Nº 2 (2016)
- Páginas: 108-117
- Seção: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/200726
- DOI: https://doi.org/10.1134/S2070048216020022
- ID: 200726
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Resumo
A variant of a hybrid scheme for solving the nonhomogeneous stationary transport equation is constructed. A bicompact scheme of the fourth order approximation over all space variables and the first order approximation scheme from a set of short characteristic methods with interpolation over illuminated faces are chosen as a base. It is shown that the chosen first order approximation scheme is a scheme with minimal dissipation. A monotonic scheme is constructed by a continuous and homogeneous procedure in all the mesh cells by keeping the fourth approximation order in domains where the solution is smooth and maintaining a high level of accuracy in the domain of the discontinuity. The logical simplicity and homogeneity of the suggested algorithm make this method well fitted for supercomputer calculations.
Sobre autores
E. Aristova
Keldysh Institute of Applied Mathematics; Moscow Institute of Physics and Technology
Autor responsável pela correspondência
Email: aristovaen@mail.ru
Rússia, Moscow; Moscow
B. Rogov
Keldysh Institute of Applied Mathematics; Moscow Institute of Physics and Technology
Email: aristovaen@mail.ru
Rússia, Moscow; Moscow
A. Chikitkin
Moscow Institute of Physics and Technology
Email: aristovaen@mail.ru
Rússia, Moscow