Numerical solution of transonic and subsonic flow of compressible inviscid and viscous fluid |
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Authors: | Petra Punčochářová Karel Kozel Jaromír Horáček Jiří Fürst |
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Affiliation: | 1. Czech Technical University in Prague, Faculty of Mechanical Engineering, Department of Technical Mathematics, Karlovo nám. 13, CZ–121 35, Prague 2;2. Institute of Thermomechanics AS CR, Centre of Energetics, Dolejškova 5, CZ–182 00, Prague 8 |
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Abstract: | The work presents two numerical solutions of compressible flows problems with high and very low Mach numbers. Both problems are numerically solved by finite volume method and the explicit MacCormack scheme using a grid of quadrilateral cells. Moved grid of quadrilateral cells is considered in the form of conservation laws using Arbitrary Lagrangian–Eulerian method. In the first case, inviscid transonic flow through cascade DCA 8% is presented and the numerical results are compared to experimental data. The second case, numerical solution of unsteady viscous flow in the channel for upstream Mach number M∞=0.012 and frequency of the wall motions 100 Hz is presented. The unsteady case can represent a simplified model of airflow coming from the trachea, through the glottal region with periodically vibrating vocal folds to the human vocal tract. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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