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ISSN Онлайн: 2642-0554

MODELLING STRONG INHOMOGENEITY EFFECTS ON PRESSURE STRAIN IN SECOND MOMENT CLOSURE BY ELLIPTIC RELAXATION

Kun Ho Chun
Department of Mechanical Engineering, Korea University 1, 5-Ka, Anam-dong Sungbuk-ku, SeouI, 136-701, Korea

Young Don Choi
Department of Mechanical Engineering, Korea University, 1, Anam-dong, Sungbuk-ku, Seoul 136-701, Korea

Jong Keun Shin
Department of Automotive Engineering, Hanzhong University, 119, Jiheung-dong, Donghae, Kangwondo 240-713, Korea

Аннотация

A new inhomogeneous correction of elliptic relaxation equation(ERE) in Reynolds Averaged Navier Stokes(RANS) modelling is proposed to intermediate between near wall and far from the wall. The quasi-homogeneous pressure strain models using in second moment turbulence closures are usually applied to the source term of ERE. This elliptic model approach is to avoid use of the wall distances and wall normal vectors, so that it makes the. model applicable to the flows bounded with complex geometries. The boundary conditions of elliptic relaxation operator affect to the quasi-homogeneous pressure strain model in the near wall region. That is, it gives the correct damping of the redistribution at the wall, and then enables the reproduction of the two-component limit of turbulence. However, the original relaxation operator (Durbin 1993) induces the amplification of redistribution in the logarithmic layer. Accordingly, it is necessary to modify the elliptic operator to reproduce the acceptable results in the logarithmic region. In order to modify the elliptic operator, a strong inhomogeneous correction for the source term of ERE is proposed in the present study. The present inhomogeneous correction for the elliptic relaxation equation is applied to the inertial and non-inertial channel flows. Results are compared with DNS data for the channel flows. The present model shows good agreements for non-rotating and rotating channel flows.