Modeling of the far region of a swirling turbulent wake using the Rodi model

Abstract: The work is devoted to the construction of a self-similar solution for the far region of a swirling turbulent wake. The algebraic Rodi model is considered, which is a simplification of differential equations for the transfer of components of the Reynolds stress tensor. A group-theoretic analysis of the model is carried out. The reduced system was solved numerically using a modified shooting method. A detailed comparison of the constructed self-similar solution with results obtained by G.G. Chernykh and A.G. Demenkov by direct numerical integration of the model equations is performed.

mathematical physicsanalysis of PDEsclassical analysis and ODEsdynamical systemsnumerical analysisexactly solvable and integrable systemsfluid dynamics

Audience: researchers in the topic

Mathematical models and integration methods