Analysis and Compensation of Numerical Damping in a One-Dimensional Aeroelastic Problem

In this paper we present analysis methods for a family of staggered schemes that are used in the numerical simulation of fluid-structure interaction problems. The analysis has two goals: to identify the numerical damping errors, in particular those due to the discrete coupling between the fluid and the structure, and to improve the accuracy of the numerical results by compensating these errors. The first analysis method presented is based on the modified equation of the numerical scheme, and the second method is an eigenvector analysis. Both methods provide corrections of the coupled integration schemes in order to eliminate numerical effects, when the system's frequency is known. Other methods are proposed in order to achieve the same goal when this frequency is not known a priori.