Direct Numerical Simulation of Aerodynamic Flows Based on Integration of the Navier – Stokes Equations
Received 18 April 2022; accepted 12 July 2022; published 30 September 2022
2022, Vol. 18, no. 3, pp. 349-365
Author(s): Lipanov A. M., Karskanov S. A.
The results of the theoretical solution of aerodynamic problems based on direct numerical
simulation by integrating the Navier – Stokes equations without involving additional models
and empirical constants are shown. Modern approaches to the theoretical study of high-speed
flows are determined. The advantages, problems, development trends and scientific directions
of research on various approaches are revealed. The advantages and disadvantages of the direct
numerical simulation are analyzed. The velocity vectors of laminar and transient flows in
a rectangular channel with a sudden expansion at the inlet are presented in different planes. The
convergence of the method is studied when the computational domain is quantized in space. It
is discovered that fast relaminarization is characteristic of transitional flows. A mathematical
model for calculating bottom drag is presented. The numerical results are compared with the
data of physical experiments and the results of other methods. It is shown that the results of
simulation based on DNS are not inferior in accuracy to RANS and LES results. The results
of a parametric study of a transonic flow around a profile are presented. The high-speed buffet
onset is investigated. The distribution surfaces of the velocity pulsation energy generation are
shown. The frequency of self-oscillations is determined on the basis of spectral analysis.
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