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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2018, Number 54, Pages 79–87
DOI: https://doi.org/10.17223/19988621/54/7 (Mi vtgu662) 		 
This article is cited in 3 scientific papers (total in 3 papers)

MECHANICS

Comparison of the MUSCL-type schemes for a gas flow calculation in de Laval nozzles

K. V. Kostushina, V. A. Shuvarikovb

a Research Institute of Applied Mathematics and Mechanics of Tomsk State University, Tomsk, Russian Federation
b Tomsk State University, Tomsk, Russian Federation
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DOI: https://doi.org/10.17223/19988621/54/7
Abstract: In this paper, MUSCL-type schemes applied for the calculation of a one-dimensional inviscid flow of ideal gas in the JPL nozzle of rocket engine are compared. The comparison was carried out on the basis of determined mass flow coefficient. The calculations were performed using the first-order Godunov scheme, the second- and third-order MUSCL schemes, and the third-order MUSCL-Hancock scheme in a combination with the slope limiters such as MINMOD, Van Albada, Van Leer, and Superbee. The Godunov method, the Roe approximate Riemann solver, and the HLLC Riemann solver were used to calculate the numerical fluxes. The Godunov scheme, which is first order accurate in space, leads to a high error in the mass flow rate (1.4
Keywords: de Laval nozzle, gas dynamics, mass flow rate, mathematical modeling, Godunov-type schemes, MUSCL-type schemes, exact solution of the Riemann problem, Roe's Riemann solver, HLLC Riemann solver.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 9.9063.2017/8.9
Received: 03.05.2018
Bibliographic databases:
Document Type: Article
UDC: 533.1
Language: Russian
Citation: K. V. Kostushin, V. A. Shuvarikov, “Comparison of the MUSCL-type schemes for a gas flow calculation in de Laval nozzles”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2018, no. 54, 79–87
Citation in format AMSBIB
\Bibitem{KosShu18}
\by K.~V.~Kostushin, V.~A.~Shuvarikov
\paper Comparison of the MUSCL-type schemes for a gas flow calculation in de Laval nozzles
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2018
\issue 54
\pages 79--87
\mathnet{http://mi.mathnet.ru/vtgu662}
\crossref{https://doi.org/10.17223/19988621/54/7}
\elib{https://elibrary.ru/item.asp?id=35424228}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Томского государственного университета. Математика и механика
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    References:24
     
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