From the summary: We present some new developments of explicit algebraic Reynolds stress turbulence models. The developments include a near-wall treament ensuring realizability for the individual stress components, a formulation for compressible flows, and a suggestion for a possible approximation of diffusion terms in the anisotropic transport equation. Recent developments in this area are assessed and collected into a model for both incompressible and compressible three-dimensional wall-bounded turbulent flows.