Numerical Computation of Unsteady Laminar Boundary Layers with Separation Using One-parameter Integral Method : 2nd report, The separation singularity in unsteady boundary layer

Abstract

The one-parameter integral method proposed in the last report, which is generally applicable to laminar boundary layers whether they are separated or not, is improved on the velocity profile assumption and computational scheme. The governing equation system being hyperbolic, the spontaneous generation of a singularity associated with unsteady separation is confirmed as a focusing of characteristics. The obtained results of the boundary layer quantities as well as the generation of a separation singularity are in good agreement with those of exact methods (e.g. van Dommelen and Shen) about the starting flow of a circular cylinder.