This article is cited in 3 scientific papers (total in 3 papers)
NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION
A problem-modeling environment for the numerical solution of the Boltzmann equation on a cluster architecture for analyzing gas-kinetic processes in the interelectrode gap of thermal emission converters
Abstract:
This paper is devoted to the application of the method of numerical solution of the Boltzmann equation for the solution of the problem of modeling the behavior of radionuclides in the cavity of the interelectric gap of a multi-element electrogenerating channel. The analysis of gas-kinetic processes of thermionic converters is important for proving the design of the power-generating channel. The paper reviews two constructive schemes of the channel: with one- and two-way withdrawal of gaseous fission products into a vacuum-cesium system. The analysis uses a two-dimensional transport equation of the second-order accuracy for the solution of the left-hand side and the projection method for solving the right-hand side — the collision integral. In the course of the work, a software package was implemented that makes it possible to calculate on the cluster architecture by using the algorithm of parallelizing the left-hand side of the equation; the paper contains the results of the analysis of the dependence of the calculation efficiency on the number of parallel nodes. The paper contains calculations of data on the distribution of pressures of gaseous fission products in the gap cavity, calculations use various sets of initial pressures and flows; the dependency of the radionuclide pressure in the collector region was determined as a function of cesium pressures at the ends of the gap. The tests in the loop channel of a nuclear reactor confirm the obtained results.
The work was supported by Russian Foundation for Basic Research, research project Nos. 18-07-00323, 18-07-00712, 17-08-00339, 17-08-00606, 18-08-00438, 19-08-00181.
Citation:
A. V. Basalaev, Yu. Yu. Kloss, D. Yu. Lyubimov, A. N. Knyazev, P. V. Shuvalov, D. V. Sherbakov, A. V. Nahapetyan, “A problem-modeling environment for the numerical solution of the Boltzmann equation on a cluster architecture for analyzing gas-kinetic processes in the interelectrode gap of thermal emission converters”, Computer Research and Modeling, 11:2 (2019), 219–232
\Bibitem{BasKloLyu19}
\by A.~V.~Basalaev, Yu.~Yu.~Kloss, D.~Yu.~Lyubimov, A.~N.~Knyazev, P.~V.~Shuvalov, D.~V.~Sherbakov, A.~V.~Nahapetyan
\paper A problem-modeling environment for the numerical solution of the Boltzmann equation on a cluster architecture for analyzing gas-kinetic processes in the interelectrode gap of thermal emission converters
\jour Computer Research and Modeling
\yr 2019
\vol 11
\issue 2
\pages 219--232
\mathnet{http://mi.mathnet.ru/crm707}
\crossref{https://doi.org/10.20537/2076-7633-2019-11-2-219-232}
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https://www.mathnet.ru/eng/crm707
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This publication is cited in the following 3 articles:
D V Sherbakov, Yu Yu Kloss, D Yu Lyubimov, A N Orazbaev, F G Tcheremissine, P A Tataurov, A N Knyazev, “Computer models of gas-dynamic processes of radionuclides behavior in thermal emission converter of nuclear power plant”, J. Phys.: Conf. Ser., 1560:1 (2020), 012063
V A Yusim, S E Sarkisov, V V Ryabchenkov, Yu Yu Kloss, I V Govorun, L V Ivanova, A V Sakmarov, “Mathematical modeling of heat and mass transfer processes in the graphite thermal unit of the crystallization apparatus for Horizontal directional solidification method”, J. Phys.: Conf. Ser., 1560:1 (2020), 012060
Kloss Yu Yu, F G Tcheremissine, M Yu Shirkin, I V Govorun, V Shirokovskaya Yu, “Simulation of non-equilibrium gas kinetic processes in the multitube Knudsen pump on the basis of the Boltzmann equation”, J. Phys.: Conf. Ser., 1560:1 (2020), 012061
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