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Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • 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)

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.

Suggested Citation

  • P. Punčochářová & K. Kozel & J. Horáček & J. Fürst, 2008. "Numerical Computation of Unsteady Compressible Flows with Very Low Mach Numbers," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 505-512, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_60
    DOI: 10.1007/978-3-540-69777-0_60
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