Streamline of a plate with small periodic irregularities

We consider streamline of a semiinfinite plate with periodic irregularities at high Reynolds numbers $\mathrm{Re}$ by viscous incompressible liquid. Characteristic scale of a plate profile is in accordance with a small parameter $\varepsilon=\mathrm{Re}^{-1/2}$. We received the analytical-numerical solution of the problem described above using the method of asymptotic analysis with the small parameter $\varepsilon$ and further solution of the boundary problem by numerical method. It has been proved that the solution will have three-deck structure. Furthermore, we numerically examined how a plate profile amplitude influenced the streamline process stationarity.