Numerical simulation of unsteady compressible flow in convergent channel: Pressure spectral analysis

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 m ∞ = 0.012,reynolds number re ∞ = 4481,and the wall motion frequency 100hz. © copyright 2012 petra pozkov et al.