Numerical simulation of two-dimensional turbulence in a plane channel

Two-dimensional flow of an incompressible viscous fluid in a plane channel is studied under fixed flux and supercritical Reynolds number, Re = 10⁴. For numerical simulation, and original algorithm, possessing good stability and accuracy properties, is used. Calculation of the flow over a large interval of time leads to a statistically steady-state condition of the flow and to stabilization of the averaged characteristics, e.g., profiles of averaged velocity, averaged gradient of pressure, energy, etc. The computations show that qualitatively proper characteristics of “two-dimensional” turbulence can be obtained by numerical simulation of the Navier-Stokes equations.