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Matematicheskoe modelirovanie, 2019, Volume 31, Number 12, Pages 3–20
DOI: https://doi.org/10.1134/S0234087919120013 (Mi mm4135) 		 
Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics

A. V. Yalozoa, A. S. Kozelkovbac, A. A. Kurkinc, V. V. Kurulina, I. L. Materovaa, D. A. Utkina

a Federal State Unitary Enterprise “Russian federal nuclear center “All-russian research institute of experimental physics”, Nizhny Novgorod region, Sarov
b Sarov Institute of Physics and Technology, National Research Nuclear University «Moscow Engineering Physics Institute», Nizhny Novgorod region, Sarov
c Nizhny Novgorod State Technical University n.a. R.E. Alekseev, Nizhny Novgorod
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DOI: https://doi.org/10.1134/S0234087919120013
Abstract: In this study the method is presented for coupled 1D-3D modeling of computational fluid dynamics problems. The method is based on the simultaneous calculation of threedimensional and one-dimensional areas and the organization of communication between the two parts of the task by transferring boundary conditions. The domain in the threedimensional approximation is modeled based on the solution of the full Navier–Stokes equations. The calculation of one-dimensional areas is based on the use of basic conservation laws and empirical characteristics of elements. The correctness of the proposed solutions is checked on several problems. For all tasks, the obtained results are compared with available analytical solutions or experimental data.
Keywords: one-dimensional model, three-dimensional model, numerical simulation, Navier–Stokes equations, conservation laws, hydraulic calculation, FlowDesigner program, LOGOS software package.
Received: 25.04.2019
Revised: 25.04.2019
Accepted: 01.07.2019
English version:
Mathematical Models and Computer Simulations, 2020, Volume 12, Issue 4, Pages 536–545
DOI: https://doi.org/10.1134/S2070048220040213
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Document Type: Article
Language: Russian
Citation: A. V. Yalozo, A. S. Kozelkov, A. A. Kurkin, V. V. Kurulin, I. L. Materova, D. A. Utkin, “Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics”, Matem. Mod., 31:12 (2019), 3–20; Math. Models Comput. Simul., 12:4 (2020), 536–545
Citation in format AMSBIB
\Bibitem{YalKozKur19}
\by A.~V.~Yalozo, A.~S.~Kozelkov, A.~A.~Kurkin, V.~V.~Kurulin, I.~L.~Materova, D.~A.~Utkin
\paper Methods of related simulation of one-dimensional and three-dimensional problems of computational fluid dynamics
\jour Matem. Mod.
\yr 2019
\vol 31
\issue 12
\pages 3--20
\mathnet{http://mi.mathnet.ru/mm4135}
\crossref{https://doi.org/10.1134/S0234087919120013}
\elib{https://elibrary.ru/item.asp?id=41298285}
\transl
\jour Math. Models Comput. Simul.
\yr 2020
\vol 12
\issue 4
\pages 536--545
\crossref{https://doi.org/10.1134/S2070048220040213}
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