Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics by Alexander Gelfgat

Author:Alexander Gelfgat
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

Figure 27 shows a velocity profile of v in the final state of a three-dimensional numerical simulation [12] for and (full line) corresponding to the flow shown in Fig. 26a. The simulation confirms the localization of the steady Taylor–Görtler vortices in mid-cavity. For comparison, the velocity profile from a nonlinear simulation using periodic boundary condition is shown for the same Reynolds number and a wavelength corresponding to the critical wave number of the linear theory (see Sect. 6.1.1). The wavelength and the peak amplitude of the localized flow pattern agree very well with those for the periodic Taylor–Görtler flow.

Fig. 27Velocity profile for and . Shown are numerical results of Albensoeder and Kuhlmann [12] for a finite-length cavity and no-slip end walls for (full line) and for periodic boundary conditions and (dotted line)

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