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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 3, Pages 409–428
DOI: https://doi.org/10.1134/S0044466919030025 (Mi zvmmf10861) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical simulation of viscous gas flows between two coaxially rotating concentric cylinders and spheres

M. V. Abakumov

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, 119991 Russia
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DOI: https://doi.org/10.1134/S0044466919030025
Abstract: A technique for constructing conservative Godunov-type finite-difference schemes for computing viscous gas flows in cylindrical and spherical coordinates is described. Two- and three-dimensional flows in the gap between two coaxially rotating concentric cylinders and spheres are computed. Various types of vortex flows are simulated, which are also typical for an incompressible fluid. The differences from the incompressible case are noted. The results show that cylindrical and spherical Couette flows can be studied within the framework of the mathematical viscous gas model by applying direct numerical simulation with the use of explicit finite-difference schemes.
Key words: viscous gas, cylindrical Couette flow, spherical Couette flow, explicit finite-difference schemes.
Received: 04.06.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 3, Pages 384–401
DOI: https://doi.org/10.1134/S0965542519030023
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. V. Abakumov, “Mathematical simulation of viscous gas flows between two coaxially rotating concentric cylinders and spheres”, Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019), 409–428; Comput. Math. Math. Phys., 59:3 (2019), 384–401
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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