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Direct numerical simulation of the Taylor–Couette flow with the asymmetric end-wall boundary conditions

Tuliszka-Sznitko E., Kiełczewski K.

Archives of Mechanics

2016

Vol. 68, nr 5

395--418

In the paper the authors present the results obtained during a direct numerical simulation of the transitional Taylor–Couette flow in closed cavity. The spectral vanishing viscosity method is used to stabilize computations for higher Reynolds numbers. The Taylor–Couette flow is widely used for studying the primary pattern formation, transitional flows and fully turbulent flows. The Taylor–Couette flow is also important from engineering point of view: the results can be interesting for engineers dealing with gas turbines and axial compressors. In the paper the attention is focused on the influence of the end-wall boundary conditions on the flow structures and on statistics (i.e. the radial profiles of the angular velocity, angular momentum, torque, the Reynolds stress tensor components). The results are discussed in the light of experimental and numerical data published in literature (F. Wendt, Ing.-Arch., 4, 1933; H. Brauckmann, B. Eckhardt, J. Fluid Mech., 718, 2013).

Large Eddy Simulation of transitional flows in rotor/stator cavity

Tuliszka-Sznitko E., Zielinski A., Majchrowski W.

Archives of Mechanics

2009

Vol. 61, nr 2

95-120

An algorithm for the Large Eddy Simulation, with subgrid modelling based on the spectral Chebyshev-Fourier approximation, is developed for the investigation of 3D turbulent and transitional non-isothermal flows within a rotor/stator cavity. In LES we use a version of the dynamic Smagorinsky eddy viscosity model in which the Smagorinsky coefficient at a given position x depends on the history of the flow along the fluid particle pathline. Computations are based on the efficient pseudo-spectral Chebyshev-Fourier method (S. HUGUES, A. RANDRIAMAMPIANINA, An improved projection scheme applied to pseudospectral methods for the incompressible Navier-Stokes equations, Int. J. Numer. Methods Fluids, 28, 501, 1998). To demonstrate the effectiveness of the proposed algorithm, computations were performed for the cavity of aspect ratio L = 5 and results were compared favorably with the experimental data taken from literature.