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Evaluation of the damping functions in low-Reynolds-number non-linear $$q-\zeta$$ turbulence model. (English) Zbl 1184.76689
Summary: The present work concerns the evaluation of the damping functions in the low-Reynolds-number non-linear $$q-\zeta$$ turbulence model to improve the accuracy of the predicted results. Different expressions for the damping function $$( f_{\mu })$$ are studied to find the most suitable use in low-Reynolds-number turbulence models, followed by the re-optimisation of the constants in the expression of $$C_{\mu }$$ for the non-linear $$q-\zeta$$ model. The non-linear form is considered as a result of the inability of the model in linear form to predict the correct anisotropy near solid boundaries. The fully developed turbulent incompressible channel flow is used as a test case. The modified model is evaluated for complex flows via the numerical modelling of the turbulent compressible flow in an S-shaped DRA M2129 circular-to-circular diffusing duct at subsonic Mach number. The predicted results are in good agreement with the experimental data.

MSC:
 76F60 $$k$$-$$\varepsilon$$ modeling in turbulence 76F65 Direct numerical and large eddy simulation of turbulence
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