Critical Survey of Turbulence Modelling and Numerical Methods

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This study is a critical survey of the present state-of-art of turbulence modelling and schemes of its numerical calculations, being performed by the co-operation of researchers from many fields. Subjects discussed in this study are the following. 1. Discrete-vortex methods applied to axisymmetric flows; combination of discrete-vortex methods and boundary-elements methods to simulate turbulent separated flows. 2. Numerical simulations by turbulence models of flows around aircrafts; flows in curved ducts; flows in rotating pipes; comparison of calculated results with experiments. 3. Turbulence modelling which considers coherent structure of turbulence; structural modelling of wall turbulence. 4. Analysis of turbulent heat transfer by 2-equation models of turbulence; optimization of constants included in algebraic stress models; theoretical back-ground of equations for the rate of dissipation of turbulence energy. 5. Turbulent transport of momentum, heat and mass in turbulent diffusion f … More lames and in swirling turbulent flames. 6. Transition to turbulence of plane Couette flow, flow in rotating pipes boundary layers along rotating cones and flow between rotating concentric cylinders; effects of free-stream turbulence on transition. 7. Turbulence modelling to be used to calculate turbulent heat-transfer properties; turbulence models not using the concept of turbulent Prandtl number. 8. Calculation of transonic flows around airfoils by using viscous/inviscid interaction. 9. Numerical simulation of turbulence by Large-Eddy-Simulation. 10. Calculation of turbulence by direct simulation based on Navier-Stokes equations. Critical surveys of individual researchers were presented and discussed at 7 meetings held during the term of the project. Results of the present study were presented at the 246th Meeting of Kansai Branch of JSME (23-24 Nov. 1986) and at the 647th JSME Lecture Series 'Fundamentals and applications of turbulence modelling and numerical simulation' (13-17 July 1987). Less