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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 9, Pages 1481–1502
DOI: https://doi.org/10.7868/S0044466913070181 (Mi zvmmf9916) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Hybrid schemes with high-order multioperators for computing discontinuous solutions

A. I. Tolstykhab

a Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moskovskaya obl.
b Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
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DOI: https://doi.org/10.7868/S0044466913070181
Abstract: Results are presented concerning high-order multioperator schemes and their monotonized versions as applied to the computation of discontinuous solutions. Two types of hybrid schemes are considered. Solutions of several test problems, including those with extremely strong discontinuities, are presented. An example of solving the Navier–Stokes equations at low supersonic Mach numbers by applying multioperator schemes without monotonization is given.
Key words: high-order multioperators, hybrid schemes, problem with discontinuous solutions, Navier–Stokes equations.
Received: 22.10.2012
Revised: 07.02.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 9, Pages 1303–1322
DOI: https://doi.org/10.1134/S0965542513070178
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Tolstykh, “Hybrid schemes with high-order multioperators for computing discontinuous solutions”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013), 1481–1502; Comput. Math. Math. Phys., 53:9 (2013), 1303–1322
Citation in format AMSBIB
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    • This publication is cited in the following 8 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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