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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 8, Pages 1429–1447
(Mi zvmmf126)
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This article is cited in 18 scientific papers (total in 18 papers)
Two splitting schemes for the nonstationary convection-diffusion problem on tetrahedral meshes
Yu. V. Vassilevski, I. V. Kapyrin Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991, Russia
Abstract:
Two splitting schemes are proposed for the numerical solution of three-dimensional nonstationary convection-diffusion problems on unstructured meshes in the case of a full diffusion tensor. An advantage of the first scheme is that splitting is generated by the properties of the approximation spaces and does not reduce the order of accuracy. An advantage of the second scheme is that the resulting numerical solutions are nonnegative. A numerical study is conducted to compare the splitting schemes with classical methods, such as finite elements and mixed finite elements. The numerical results show that the splitting schemes are characterized by low dissipation, high-order accuracy, and versatility.
Key words:
nonstationary convection-diffusion problem, splitting scheme, tetrahedral meshes, contaminant transport in porous media.
Received: 02.03.2007 Revised: 12.12.2007
Citation:
Yu. V. Vassilevski, I. V. Kapyrin, “Two splitting schemes for the nonstationary convection-diffusion problem on tetrahedral meshes”, Zh. Vychisl. Mat. Mat. Fiz., 48:8 (2008), 1429–1447; Comput. Math. Math. Phys., 48:8 (2008), 1349–1366
Linking options:
https://www.mathnet.ru/eng/zvmmf126 https://www.mathnet.ru/eng/zvmmf/v48/i8/p1429
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Abstract page: | 759 | Full-text PDF : | 298 | References: | 57 | First page: | 9 |
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