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Sib. Èlektron. Mat. Izv., 2007, Volume 4, Pages 376–434 (Mi semr164)  

This article is cited in 10 scientific papers (total in 10 papers)

Research papers

The hierarchical SPH-method for mathematical simulation in gravitational gas dynamics

A. V. Aliev, G. A. Tarnavskii

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences

Abstract: This work has been directed to a creation of new modern computer technologies and methods of programming for the rise of efficacy of solving of fundamental scientific and applied problems in gravitational gas dynamics connected with great volume of the calculations. The main attention has been given to theoretical questions and their practical application for the improvement of Smoothed Particles Hydrodynamics (SPH) method and algorithm of solving of complicated integro-differential systems of equations. The various aspects of method are considered. The degree of efficacy has been analyzed for determination of an optimal way of problem solving. The careful verification of theoretical method, calculating algorithm and computer program complex for detailed analysis of properties (exactitude of calculation and performance of computing process) is carried out. The executed theoretical investigations are used for creation of computer program complex of new generation for solving of space gas dynamics problems. The cycle of computer calculations of problems (in wide range of determinating parameters and starting data) of self-gravitational sphere collapse and protoplanet gas cloud evolution is executed and the analysis of received results is carried out.

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Bibliographic databases:

Document Type: Article
UDC: 531.5, 533.6, 534.2, 681.3
MSC: 13A99
Received April 14, 2007, published September 24, 2007

Citation: A. V. Aliev, G. A. Tarnavskii, “The hierarchical SPH-method for mathematical simulation in gravitational gas dynamics”, Sib. Èlektron. Mat. Izv., 4 (2007), 376–434

Citation in format AMSBIB
\Bibitem{AliTar07}
\by A.~V.~Aliev, G.~A.~Tarnavskii
\paper The hierarchical SPH-method for mathematical simulation in gravitational gas dynamics
\jour Sib. \`Elektron. Mat. Izv.
\yr 2007
\vol 4
\pages 376--434
\mathnet{http://mi.mathnet.ru/semr164}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2465434}
\zmath{https://zbmath.org/?q=an:1132.76308}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Tarnavskii G.A., Aliev A.V., “Matematicheskoe modelirovanie: osnovnye segmenty, ikh osobennosti i problemy”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 8:1 (2007), 297–310  mathnet
    2. Aliev A.V., “Primenenie metoda sglazhennykh chastits dlya resheniya zadach fizicheskoi gazovoi dinamiki”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 9:1 (2008), 40–47  mathnet
    3. Tarnavskii G.A., “Tsentr kompyuternogo modelirovaniya v internete”, Informatsionnye resursy Rossii, 2010, no. 4, 36–40  elib
    4. Tarnavskii G.A., “Distantsionnoe kompyuternoe modelirovanie v Internete novaya forma rasprostraneniya znanii”, Distantsionnoe i virtualnoe obuchenie, 2010, no. 4, 47–60  elib
    5. G. A. Tarnavskii, “Oblachnye vychisleniya v Internete: kratkii ekskurs v Tsentr kompyuternogo modelirovaniya”, Model. i analiz inform. sistem, 17:2 (2010), 112–121  mathnet
    6. Tarnavskii G.A., “Distantsionnoe kompyuternoe modelirovanie udarno-volnovykh struktur v giperzvukovykh potokakh gaza: tekhnologiya oblachnykh vychislenii «Rabochee mesto kak usluga»”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 11:2 (2010), 1–25  mathnet  elib
    7. Rybakin B.P., Shider N.I., “Postroenie parallelnykh algoritmov dlya resheniya zadach gravitatsionnoi gazovoi dinamiki”, Vychislitelnye metody i programmirovanie: novye vychislitelnye tekhnologii, 11:1 (2010), 388–394  mathnet  elib
    8. Tarnavskii G.A., “Pryamoe kompyuternoe modelirovanie v internete”, Telekommunikatsii, 2011, no. 5, 11–18  elib
    9. Tarnavskii G.A., “Oblachnye tekhnologii v kompyuternom modelirovanii nauchnykh i inzhenernykh zadach”, Programmnye produkty i sistemy, 2011, no. 2, 9  elib
    10. A. V. Belousov, S. S. Khrapov, “Razrabotka programmy dlya chislennogo gazodinamicheskogo modelirovaniya na osnove lagranzhevo-eilerovoi skhemy LES — ASG”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2015, no. 1(26), 30–39  mathnet  crossref
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