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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 8, Pages 1444–1456
DOI: https://doi.org/10.7868/S0044466915080128 (Mi zvmmf10257) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Roe–Einfeldt–Osher scheme as applied to the mathematical simulation of accretion disks on parallel computers

A. Yu. Lugovskyab, Yu. P. Popovb

a National Research Center "Kurchatov Institute", pl. Kurchatova 1, Moscow, 123182, Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
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DOI: https://doi.org/10.7868/S0044466915080128
Abstract: The Roe–Einfeldt–Osher scheme is considered, which has the third order of accuracy. Its advantages over the first-order accurate Roe scheme are demonstrated, and its choice for the simulation of accretion disk flows is justified. The Roe–Einfeldt–Osher scheme is shown to be efficient as applied to the simulation of real-world problems on parallel computers. Results of simulation of flows in accretion disks in two and three dimensions are presented. Limited capabilities of two-dimensional disk models are noted.
Key words: Godunov-type methods, Roe–Einfeldt–Osher scheme, supercomputers, accretion disks, instability.
Received: 02.03.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1407–1418
DOI: https://doi.org/10.1134/S0965542515080126
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. Yu. Lugovsky, Yu. P. Popov, “Roe–Einfeldt–Osher scheme as applied to the mathematical simulation of accretion disks on parallel computers”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1444–1456; Comput. Math. Math. Phys., 55:8 (2015), 1407–1418
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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