Linear Calculation of Unsteady Aerodynamic Forces on Vibrating Cascade Blades Using TVD Scheme (1st Report, Formulation)

摘要

Linear unsteady aerodynamic calculation of vibrating cascade blades has a great importance due to the small usage of the computer resources and its utility in practical flutter analysis compared with the non-linear and time accurate calculations. The application of the Lax-Wendroff method, which has been conventionally used in the linear unsteady calculation of vibrating cascade blades, may pose difficulty in applying the appropriate artifcial viscosity. In the present paper, the TVD scheme combined with the finite difference method has been proposed, so that the linearized unsteady flowfield of vibrating cascade blades free from the spatial numerical oscillation should be obtained as will be demonstrated in the accompanying second paper.