Geodesic
Direct Numerical Simulation of Supersonic Gas Flow Through a Circular Cylindrical Channel
Russian journal of nonlinear dynamics, Tome 20 (2024) no. 3, pp. 361-369

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The results of the theoretical solution of the problem of braking a supersonic flow in a round pipe based on direct numerical simulation by integrating the Navier – Stokes equations without the use of additional models and empirical constants are shown. Shaded maps of density distribu- tion depending on flow parameters are presented. The flow consists of successive rhombus-shaped shock waves distributed along the entire length of the channel. It is determined that the size of x-shaped structures depends on the flow parameters. At a lower Mach number, the rhombuses have a smaller size and, accordingly, their number increases along the length of the channel. The Reynolds number also affects the size of structures, however, it is less pronounced. With a lower Reynolds number, x-shaped structures have a smaller size. It is shown that over time the flow tends to a stationary state.
Keywords: direct numerical simulation, Navier – Stokes equations, supersonic flows, high-order approximation, Reynolds number, Mach number 
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A. M. Lipanov; S. A. Karskanov. Direct Numerical Simulation of Supersonic Gas Flow Through a Circular Cylindrical Channel. Russian journal of nonlinear dynamics, Tome 20 (2024) no. 3, pp. 361-369. http://geodesic.mathdoc.fr/item/ND_2024_20_3_a2/