Abstract
At sufficiently high Reynolds numbers, most flows are turbulent rather than laminar, and this transition to turbulence has been the object of many studies utilizing several approaches. One approach discussed, for example, in [1], considers the solutions of the parabolized stability equations (PSE), and another considers the solutions of the unsteady Navier-Stokes equations (called direct numerical simulation, DNS) and another approach considers the solutions of the linear stability equations based on small-disturbance theory. Despite the progress being made with the PSE approach, this method currently is some time away from being used as an engineering tool; it is still under development. The direct numerical simulation (DNS) approach offers exciting possibilities; the excellent review of Kleiser and Zong [2] describes the rapid progress with this approach and shows that the prediction of transition can already be achieved in some simple flows with this method. The computer requirements of DNS, however, are large, and it is unlikely that this approach can be used for transition calculations on complex bodies in the near future. The only engineering calculation method for predicting transition at this time, aside from correlation methods, is the e n-method based on small disturbance theory to be discussed in this chapter for two-dimensional flows and in Chapter 8 for three-dimensional flows.
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(2005). Transition in Two-Dimensional Incompressible Flows. In: Modeling and Computation of Boundary-Layer Flows. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27624-6_5
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