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Explicit algebraic models for turbulent flows with buoyancy effects

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For turbulent flows that are influenced by an active scalar, the Reynolds stresses and scalar flux are coupled in a complicated way, which makes it difficult to model these flows. A framework has been derived for obtaining explicit algebraic Reynolds-stress and scalar-flux models for two-dimensional mean flows with stratification. For the specific case of stably stratified parallel shear flows, the derived model was shown to give good results. As an extension of these results, two more cases are considered: unstable stratification in a horizontal channel and natural convection in a vertical channel.

Author(s):

Werner Lazeroms    
Linné FLOW Centre, KTH Mechanics, Stockholm
Sweden

Geert Brethouwer    
Linné FLOW Centre, KTH Mechanics, Stockholm
Sweden

Stefan Wallin    
Linné FLOW Centre, KTH Mechanics / Swedish Defence Research Agency (FOI), Stockholm
Sweden

Arne Johansson    
Linné FLOW Centre, KTH Mechanics, Stockholm
Sweden