A two-dimensional turbulent boundary layer with a Reynolds number 2000 based on the displacement thickness was calculated by using direct numerical simulation. The goal of this study was to establish turbulence models for the closure of the Reynolds stress tensor and the anisotropy tensor, distinguish the global and local anisotropy and calculate the orientation of turbulent structures occurring in the turbulent boundary layers. This paper proposes an anisotropic model, which approximates the anisotropy tensor <i>b<sub>ij</sub></i> using a normalized turbulent dissipation tensor <i>d<sub>ij</sub></i>. The multiscale behavior of anisotropy occurring in turbulent boundary layers is investigated and analyzed. The results reveal that the anisotropy does not decay as the scale decreases but persists in the local scales. Additionally, this paper analyzes the orientation of the turbulent energy transportation and the distribution of the positive and negative vorticities by using the skewness of the velocity fluctuations and turbulent vorticities.
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