Abstract:
A numerical method for the integration of three-dimensional Navier–Stokes equations for compressible fluid as applied to direct numerical simulation is proposed. By way of example, the boundary layer on a plate is simulated. The computations were carried out for $\mathrm{Re}_{\theta}=1500$. The computational grid consisted of a half billion nodes. The flow region includes the laminar, transitional, and turbulent zones. The numerically obtained distributions of average velocity, friction, and pulsations are compared with experimental data and available numerical solutions.
Key words:direct numerical simulation, boundary layer on a plate, turbulence, Tollmien–Schlichting waves, Navier–Stokes equations.