A physical designation of the method of autonomous statistical modeling turbulent flows (ASMTurb method with consideration of external intermittency) and its testing are presented. The method is tested on the example of constructing of mathematical models for self-similar turbulent shear flows such as: I-the two-stream plane mixing layer; II-the outer region of the boundary layer on the wall; III-the far wake behind a cross-streamlined cylinder; IV-the axisymmetric submerged jet. Test results are presented in the form calculating the main conditional and total statistical averages applied to self-similar region of turbulent flows. It is shown that the ASMTurb models which constructed here are more accurate and more detailed than RANS models. A comparison is made between predictions and known experimental data for energy-containing structure of turbulent flow and excellent agreements are noted.
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