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Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis

Author

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  • Petra Pořízková
  • Karel Kozel
  • Jaromír Horáček

Abstract

This study deals with the numerical solution of a 2D unsteady flow of a compressible viscous fluid in a channel for 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, nearly closing the channel during oscillations. The flow is described by the system of Navier-Stokes equations for laminar flows. The numerical solution is implemented using the finite volume method (FVM) and the predictor-corrector Mac-Cormack scheme with Jameson artificial viscosity using a grid of quadrilateral cells. Due to the motion of the grid, the basic system of conservation laws is considered in the arbitrary Lagrangian-Eulerian (ALE) form. The numerical results of unsteady flows in the channel are presented for inlet Mach number 𠑀 ∞ = 0 . 0 1 2 , Reynolds number R e ∞ = 4 4 8 1 , and the wall motion frequency 100 Hz.

Suggested Citation

  • Petra Pořízková & Karel Kozel & Jaromír Horáček, 2012. "Numerical Simulation of Unsteady Compressible Flow in Convergent Channel: Pressure Spectral Analysis," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-9, May.
    • Handle: RePEc:hin:jnljam:545120
    DOI: 10.1155/2012/545120
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