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MODELLING OF STREAMLINE CURVATURE EFFECTS ON TURBULENCE IN EXPLICIT ALGEBRAIC REYNOLDS STRESS TURBULENCE MODELS

Stefan Wallin
Linne FLOW Center, Department of Mechanics Royal institute of technology Osquars Backe 18, Stockholm, Sweden

Arne V. Johansson
Linne FLOW Centre, Dept. of Mechanics, Royal Institute of Technology SE-100 44 Stockholm, Sweden

要約

A curvature correction for explicit algebraic Reynolds stress models (EARSM), based on an approximation of the formal derivation of the weak-equilibrium assumption in a streamline-based co-ordinate system is presented. The proposed correction is (i) Galilean invariant, (ii) identical to the formal transformation if the magnitude of the velocity along the streamline is constant and (iii) vanishes in flows without curvature/rotational effects. The importance of the curvature correction in EARS Ms have been shown for rotating homogeneous shear and rotating channel flows where the proposed model performs well.