Abstract
The paper discusses aspects of modelling complex turbulent flows, placing particular emphasis on second-moment closure and non-linear eddy-viscosity formulations. Principal features of turbulence, viewed mainly in statistical terms, are highlighted first. This is followed by considerations directed, principally, towards processes which arise from the interaction between the Reynolds stresses and mean-flow features. Attention focuses, in particular, on the interaction, as expressed through the exact Reynolds-stress generation terms, between turbulence and curvature, normal straining, system rotation, body forces and heat transfer. This exposition provides the background against which the use of anisotropy-resolving closures is advocated. Following a review of simpler approaches, based on the isotropic eddy-viscosity concept, the current status of second-moment and non-linear eddy-viscosity modelling is summarised. Consideration is then given to the performance of alternative models by reference to computational solutions for eight flows, both twodimensional and three-dimensional, some incompressible and others compressible. In presenting and discussing representative results, emphasis is placed on fundamental flow features and on assessing the predictive capabilities of alternative models by reference to experimental data. The results are argued to offer support for the use of anisotropy-resolving closure, but also serve to highlight model weaknesses and uncertainties which require further research.
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Leschziner, M.A. (2000). The Computation of Turbulent Engineering Flows with Turbulence-Transport Closures. In: Peyret, R., Krause, E. (eds) Advanced Turbulent Flow Computations. International Centre for Mechanical Sciences, vol 395. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2590-8_5
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