Geodesic
Comparison of the MUSCL-type schemes for a gas flow calculation in de Laval nozzles
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 54 (2018), pp. 79-87

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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. 
@article{VTGU_2018_54_a6,
     author = {K. V. Kostushin and V. A. Shuvarikov},
     title = {Comparison of the {MUSCL-type} schemes for a gas flow calculation in de {Laval} nozzles},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {79--87},
     publisher = {mathdoc},
     number = {54},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2018_54_a6/}
}
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K. V. Kostushin; V. A. Shuvarikov. Comparison of the MUSCL-type schemes for a gas flow calculation in de Laval nozzles. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 54 (2018), pp. 79-87. http://geodesic.mathdoc.fr/item/VTGU_2018_54_a6/