Finite Difference Method for Inverse Mode Calculations of a Three-Dimensional Boundary Layer

摘要

A numerical method to solve the turbulent 3-D boundary layer equations by inverse approaches where either the longitudinal and transverse displacement thicknesses or the wall shear stress components are prescribed is proposed. The method was programmed for a boundary layer developing on a flat wall, for incompressible and compressible flows. Simple turbulence models were used. The equations are solved by a strongly implicit finite difference method. Applications in subsonic and transonic flows show that a separation is crossed without numerical difficulty, and that it is possible to extend the calculation of the boundary layer in the separated zone and beyond the reattachment line. Results agree with experimental data; the flow structure in the vicinity of the separation line is faithfully represented.