Abstract
This study deals with the numerical solution of 2D unsteady flows of a compressible viscous fluid in two types of channels (unsymmetric, symmetric) for a low inlet airflow velocity. The unsteadiness of the flow is caused by a prescribed periodic motion of a part of the channel wall with large amplitudes. The numerical solution is realized by a finite volume method and an explicit predictor-corrector MacCormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. The moved grid of quadrilateral cells is considered in the form of conservation laws using an Arbitrary Lagrangian-Eulerian method. Numerical results of the unsteady flows in the channels are presented for inlet Mach number \({M_\infty \approx 10^{-2}}\), Reynolds number \({{\rm Re} \in {\rm {(5 \times 10^3, 1.1 \times 10^4)}}}\) and for a frequency of the wall motion 20 Hz and 100 Hz.
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