Turbulent Layer in an Ideal Two-Dimensional Fluid

Abstract

The problem of the turbulent layer arising in the two-dimensional ideal fluid is considered. The sharp initial velocity discontinuity was replaced by a row of 100 point vortices whose evolution in time was found by numerical methods. The average velocity profile and velocity fluctuations are given. The picture is very similar to the ordinary turbulent layer in spite of the potential character of the ideal fluid motion outside the discontinuity.