This article is cited in 8 papers

MECHANICS

Mathematical simulation of supersonic airflow around the rotary body

S. A. Korolev^a, S. A. Karskanov<sup>b

a</sup> Department of Mathematical Modeling of Processes and Technologies, Kalashnikov Izhevsk State Technical University, ul. Studencheskaya, 7, Izhevsk, 426069, Russia
^b Institute of Mechanics, Ural Branch of the Russian Academy of Sciences, ul. T. Baramzinoi, 34, Izhevsk, 426067, Russia

Abstract: Two approaches to the problem of numerical simulation of streamlined bodies airflow are considered. These approaches are: numerical calculation of the Reynolds-averaged Navier–Stokes equations (RANS) using the turbulence model and direct numerical simulation (DNS). Testing of the considered approaches were conducted by solving the problem of flow past bodies of revolution with simple geometries: sphere and cone cylinder, for which values of drag coefficient at different Mach numbers are known. Qualitative and quantitative comparison of the results for the supersonic flow (modelled by RANS and DNS methods) around the bodies under consideration are carried out. The numerical simulation method is tested by considering the missile body (projectile) of characteristic shape. The numerical simulation results for the flow around the projectile are presented for a wide range of parameters: Mach numbers and angles of nutation. The calculated values of the drag coefficients are compared to the empirical reference dependencies according to the laws of 1943 and 1958.

Keywords: external flow, Reynolds-averaged Navier–Stokes, direct numerical simulation, drag coefficient, computational hydrodynamics.

UDC: 519.6

MSC: 76N15

Received: 28.08.2014

DOI: 10.20537/vm140311