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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1387–1401 (Mi zvmmf267)  
This article is cited in 11 scientific papers (total in 11 papers)

High-order composite compact schemes for simulation of viscous gas flows

A. D. Savel'ev

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (2005 kB) Citations (11)
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Abstract: Differential schemes up to the seventh order are used for a numerical description of conservation laws on curvilinear grids. The schemes combine symmetric compact differences and diffusiontype operators oriented according to the direction of characteristics. The spectral properties of the schemes are examined. Several model problems are computed. A numerical method for the Navier–Stokes equations combined with a two-parameter turbulence model is used to simulate two-dimensional viscous gas flows.
Key words: compact approximations, high-order scheme, curvilinear coordinates, turbulent viscous gas flows.
Received: 15.11.2004
Revised: 02.10.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1332–1346
DOI: https://doi.org/10.1134/S0965542507080118
Bibliographic databases:
Document Type: Article
UDC: 519.6:531.33
Language: Russian
Citation: A. D. Savel'ev, “High-order composite compact schemes for simulation of viscous gas flows”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1387–1401; Comput. Math. Math. Phys., 47:8 (2007), 1332–1346
Citation in format AMSBIB
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\by A.~D.~Savel'ev
\paper High-order composite compact schemes for simulation of viscous gas flows
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1387--1401
\mathnet{http://mi.mathnet.ru/zvmmf267}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378184}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1332--1346
\crossref{https://doi.org/10.1134/S0965542507080118}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548463418}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf267
  • https://www.mathnet.ru/eng/zvmmf/v47/i8/p1387
    • This publication is cited in the following 11 articles:
    1. A. D. Savel'ev, “Numerical simulation of unsteady subsonic viscous gas flows based on high-order composite compact schemes”, Comput. Math. Math. Phys., 61:2 (2021), 267–287  mathnet  crossref  crossref  isi  elib
    2. Kuzenov V.V., Ryzhkov V S., “Evaluation of the Possibility of Ignition of a Hydrogen-Oxygen Mixture By Erosive Flame of the Impulse Laser”, Laser Phys., 29:9 (2019), 096001  crossref  isi
    3. A. D. Savelev, “O raznostnykh skhemakh 18-go i 22-go poryadkov dlya uravnenii s konvektivnymi i diffuznymi chlenami”, Matem. modelirovanie, 29:6 (2017), 35–47  mathnet  elib
    4. V. V. Kuzenov, S. V. Ryzhkov, “Numerical modeling of laser target compression in an external magnetic field”, Math. Models Comput. Simul., 10:2 (2018), 255–264  mathnet  crossref  elib
    5. A. D. Savel'ev, “Multioperator representation of composite compact schemes”, Comput. Math. Math. Phys., 54:10 (2014), 1522–1535  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    6. A. D. Savel'ev, “The use of high-order composite compact schemes for computing supersonic jet interaction with a surface”, Comput. Math. Math. Phys., 53:10 (2013), 1558–1570  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    7. A. D. Savel'ev, “Applications of high order differenses in aerodynamical simulations”, Math. Models Comput. Simul., 4:6 (2012), 541–551  mathnet  crossref  mathscinet  elib
    8. Savelev A.D., “Tsislennoe modelirovanie obtekaniya protyazhennykh vyemok sverkhzvukovym potokom”, Uchenye zapiski TsAGI, 42:3 (2011), 60–72  elib
    9. A. D. Savel'ev, “On the structure of internal dissipation of composite compact schemes for gasdynamic simulation”, Comput. Math. Math. Phys., 49:12 (2009), 2135–2148  mathnet  crossref  isi
    10. A. D. Savel'ev, “Practical comparison of the pair turbulent models”, Math. Models Comput. Simul., 2:2 (2010), 261–272  mathnet  crossref  zmath
    11. Tolstykh A.I., Lipavskii M.V., Savel'ev A.D., Shirobokov D.A., “Highly accurate multioperators schemes for aeroacoustics with application to noise generated by jets”, Proceedings of Isma 2008: International Conference on Noise and Vibration Engineering, 2008, 549–563  mathscinet  isi
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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