Linear Calculation of Unsteady Aerodynamic Forces on Vibrating Cascade Blades Using TVD Scheme : (2nd Report, Application to Supersonic Through-Flow Fan)

Abstract

The TVD scheme combined with the finite difference method, which has been developed in the first part of the present papers to solve the linear unsteady flowfield of vibrating cascade blades, has been applied successfully to the vibrating supersonic through-flow fan cascade blades. Numerical example calculations indicate that the present calculation well predicts the general trend of dependences of the unsteady aerodynamic forces on various parameters, with little numerical oscillation in solutions. The steep changes in the flowfield accompanied by the spatial numerical oscillation predicted by the Lax Wendroff and the finite volume method are captured as less steep change in the present calculation.