Numerical Simulation of Peseudo-Shock Oscillation in Straight Channel

Numerical simulation of the oscillation of a pseudo-shock in a straight channel was made, using the explicit, second-order accurate Harten-Yee's upwind TVD scheme and the Reynolds averaged Navier Stokes equations. The basic frequency of the shock wave is the same as that of the back pressure fluctuation. The oscillation of the shock wave is similar to the forced oscillation of the simple one freedom vibration system with damping. At low Mach number, the damping effect is high, while at high Mach number it is low, and the strong resonance occurs.