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

Abstract EN

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 100 Hz.