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Turbulence simulation. (English) Zbl 1178.76206
Hewitt, G. F. (ed.) et al., Prediction of turbulent flows. Cambridge: Cambridge University Press (ISBN 0-521-83899-1/hbk). 207-235 (2005).
From the introduction: Computer simulation of turbulent flows is becoming increasingly attractive due to the greater physical realism relative to conventional modelling, at a cost that is reducing with continuing advances in computer hardware and algorithms. The first turbulence simulations appeared over 30 years ago, since when we have seen increases in computer performance of over four orders of magnitude such that many of the canonical turbulent flows first studied by laboratory experiments can now be reliably simulated by computer. Examples include turbulent channels [J. Kim, P. Moin and R. Moser, J. Fluid Mech. 177, 133–166 (1987; Zbl 0616.76071)], turbulent boundary layers [P. R. Spalart, J. Fluid Mech. 187, 61–98 (1988; Zbl 0641.76050)], mixing layers [M. M. Rogers and R. D. Moser, Phys. Fluids 6, No. 2, pt. 2, 903–923 (1994; Zbl 0825.76329)], subsonic and supersonic jets [J. B. Freund, J. Fluid Mech. 438, 277–305 (2001; Zbl 1013.76075); J. B. Freund, S. K. Lele and P. Moin, Numerical simulation of a Mach 1.92 turbulent jet and its sound field, AIAA J. 38, No. 11, 2023-2031 (2000)] and backward-facing steps [H. Le, P. Moin and J. Kim, J. Fluid Mech. 330, 349–374 (1997; Zbl 0900.76367)]. Where simulations can be reliably made, they provide more data than are available from laboratory experiments, even with modern non-intrusive flow diagnostics. In these situations they provide insight into the basic fluid mechanics. This can be at a very simple flow visualisation level, where a conceptual picture of what is happening in a flow can be quickly obtained from computer animations of key features, or at more advanced levels where the simulations provide statistical data to assist Reynolds-averaged model development. Indeed, several important recent turbulence models have come out of groups who do both simulations and modelling, examples being the P. R. Spalart and S. R. Allmaras [A one-equation turbulence model for aerodynamic flows, La Recherché Aérospatiale 1, 5–21 (1994)] model and Durbin’s \(K-\varepsilon-v^2\) [P. A. Durbin, Separated flow computations with the \(K-\varepsilon-v^2\) model, AIAA J. 33, No. 4, 659–664 (1995)], and it is rare to come across a turbulence modelling paper that has not used simulation data as a reference.
For the entire collection see [Zbl 1075.76003].
76F65 Direct numerical and large eddy simulation of turbulence
76-02 Research exposition (monographs, survey articles) pertaining to fluid mechanics