Chapter 8 - Differential Methods with Algebraic Turbulence Models

Abstract

In this chapter on differential methods with algebraic turbulence models the formulation and the numerical method used in the Cebeci-Smith (CS) method are described, with Newton’s method and the block-elimination method, and the subroutine SOLV3. The prediction of incompressible and compressible, two-dimensional and axisymmetric flows with the CS method, as applied to permeable or impermeable surfaces with or without pressure gradient, is then discussed. The so-called standard and inverse approaches for calculating boundary-layer flows with and without separation are described, and the standard approach of numerical solution of the boundary-layer equations is extended to flows with separation. The results obtained with this approach are described for two- and three-dimensional flows on airfoils and wings.