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2015 (Vol. 11, Issue: 1)
Research Article

Theory of Breakdown of an Arbitrary Gas-dynamic Discontinuity-the Methods of the Riemann Problem Solution

1Pavel Viktorovich Bulat, 1, 2Konstantin Nikolaevich Volkov, 3Mikhail Vladimirovich Silnikov and 3Mikhail Viktorovich Chernyshev
1University ITMO, Kronverksky Pr., 49, Saint-Petersburg, 197101, Russia
2Kigston University, London
3Saint-Petersburg State Politechnical University, 29 Politekhnicheskaya Str., Saint-Petersburg 195251, Russia

DOI: 10.19026/rjaset.11.1668
Submitted Accepted Published
October ‎12, 2014 November ‎3, ‎2014 September 05, 2015

  How to Cite this Article:

1Pavel Viktorovich Bulat, 1, 2Konstantin Nikolaevich Volkov, 3Mikhail Vladimirovich Silnikov and 3Mikhail Viktorovich Chernyshev, 2015. Theory of Breakdown of an Arbitrary Gas-dynamic Discontinuity-the Methods of the Riemann Problem Solution.  Research Journal of Applied Sciences, Engineering and Technology, 11(1): 1-9.

DOI: 10.19026/rjaset.11.1668

URL: http://www.maxwellsci.com/jp/mspabstract.php?jid=RJASET&doi=rjaset.11.1668


We have considered the modern theory of breakdown of an arbitrary gas-dynamic discontinuity for the space-time dimension equal to two. We consider the Riemann problem of the breakdown of one-dimensional discontinuity of parameters of non-stationary gas flow in application to construction of numerical methods like the Godunov method. The problem is solved as accurate stated and as rough stated (Osher-Solomon difference scheme used in the numerical methods of shock-cupturing): the intensities are determined (static pressure relations) and the flow velocity step on the sides of formed discontinuities and waves, then the other parameters are calculated in all flow areas. We give the classification of the difference schemes using the Riemann problem solution. We compared the results of model flows by means of accurate and rough solutions.

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    Competing interests

The authors have no competing interests.
    Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.


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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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