Two-equation turbulence modelling for computational fluid dynamics and especially for analyses of high-lift aerodynamics applications is studied in depth in this thesis. Linear Boussinesq-type modelling is abandoned and a more sophisticated explicit algebraic Reynolds stress modelling (EARSM) approach is chosen as a constitutive relation between the turbulent stress tensor and the mean-velocity gradient and turbulent scales. The proposed techniques to extend the EARSM method for significantly curved flows are critically discussed and assessed.
The main focus of this study is on development of a new scale-determining two-equation model to be used with the EARSM as a constitutive model. This new k – ω model is especially designed for the requirements typical in high-lift aerodynamics. In the model development, attention is especially paid to the model sensitivity to pressure gradients, model behaviour at the turbulent/laminar edges, and to calibration of the model coefficients for appropriate flow phenomena. The model development is based on both theoretical studies and numerical experimenting. A systematic study is carried out to find the most suitable operational second scale-variable for this model. According to this study, ω itself was chosen. The developed model is finally assessed and validated for a set of realistic flow problems including high-lift aerofoil flows.reviewe
