The construction of numerical procedures for the solution of the Prandtl boundary layer equations under the aspect of inverse monotonicity

Difficulties regarding a utilization of the Navier-Stokes equations in the solution of aerodynamic problems are mainly related to a consideration of viscosity effects, while simplifications obtained by disregarding the viscosity do not always provide acceptable solutions. The present paper is concerned with Prandtl boundary layer equations which can provide a possible approach for overcoming the considered difficulties. A study is conducted of the use of numerical methods for problems involving two-dimensional laminar boundary layers of isotropic, incompressible Newtonian fluids. It is pointed out, however, that the employed procedures can partly be utilized also for more general problems. In a discussion of the boundary layer equations, the principles of flow mechanics are examined along with known transformations, and the mathematical boundary layer theory. Difference procedures are considered along with relaxation procedures, and some aerodynamic problems. Attention is given to flow along a plate, flow around a circular cylinder, and flow around a wing profile.