Geodesic
Hyperbolic-parabolic approximation of the Reynolds equations for turbulent flows of chemically reacting gas mixtures
Matematičeskoe modelirovanie, Tome 16 (2004) no. 12, pp. 20-39

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A new gas-dynamic model, hyperbolic-parabolic approximation of the Reynolds equations, for simulating turbulent flows of mixtures of perfect reacting gases in channels and nozzles is constructed. The model is deduced in coordinate system adapted to streamlines of flow, because of asymptotic approach and original splitting of the streamwise pressure gradient along streamlines into hyperbolic and elliptical parts. This model is exactest from existing non-elliptical models of internal viscous turbulent flows. Computing advantage of the offered model is its realization with the help of the numerical method of a space-marching type. The capabilities of the model are demonstrated on calculation of flow of combustion products in the typical axisymmetrical nozzle of a perspective oxygen-hydrogen liquid-propellant rocket engine. 
@article{MM_2004_16_12_a2,
     author = {B. V. Rogov},
     title = {Hyperbolic-parabolic approximation of the {Reynolds} equations for turbulent flows of chemically reacting gas mixtures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {20--39},
     publisher = {mathdoc},
     volume = {16},
     number = {12},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_12_a2/}
}
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B. V. Rogov. Hyperbolic-parabolic approximation of the Reynolds equations for turbulent flows of chemically reacting gas mixtures. Matematičeskoe modelirovanie, Tome 16 (2004) no. 12, pp. 20-39. http://geodesic.mathdoc.fr/item/MM_2004_16_12_a2/