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STREAMLINE CURVATURE CORRECTED ALGEBRAIC REYNOLDS STRESS TURBULENCE MODELLING

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

Antti Hellsten
Helsinki University of Technology FIN-02015 HUT, Finland

Markus Schatz
Hermann-Föttinger-Institute Technical University Berlin 10623 Berlin, Germany

Thomas Rung
Hermann-Föttinger-Institute Technical University Berlin 10623 Berlin, Germany

David Peshkin
QinetiQ X80 building, Cody Technology Park Farnborough GU14 OLX, England

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

Resumo

A recently proposed curvature corrected explicit algebraic Reynolds stress model (CC-EARSM) based on a formal derivation of the weak-equilibrium assumption in a streamline oriented curvilinear co-ordinate system is further analysed and tested. The method is based on the rate of change of the strain-rate tensor following the mean flow and is fully three-dimensional, Galilean invariant and consistent in fully developed swirling flow. The predictive and numerical capabilities of the model are demonstrated using different standard non-commercial CFD solvers. The reduction of the Reynolds stresses in a zero-pressure gradient convex curved boundary layer and the inner wall in a U-duct flow due to the stabilising curvature is clearly shown. Moreover, the stabilising effect due to the swirl in a swirling combustor flow is significantly altering the swirl velocity component compared to the standard EARSM. In general, the curvature correction has been shown to significantly improve the results compared to the standard EARSM. In many cases, the results are close of these obtained using the full RSM. The curvature correction imposes some numerical problems and degenerates the convergence rate in some cases.