Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers

P. Punčochářová (), K. Kozel (), J. Horáček () and J. Fürst ()
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P. Punčochářová: Czech Technical University in Prague
K. Kozel: Institute of Thermomechanics Academy of Sciences
J. Horáček: Institute of Thermomechanics Academy of Sciences
J. Fürst: Czech Technical University in Prague

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 505-512 from Springer

Abstract: 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.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_60

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DOI: 10.1007/978-3-540-69777-0_60

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