ANALYSIS AND COMPENSATION OF NUMERICAL DAMPING IN A ONE-DIMENSIONAL AEROELASTIC PROBLEM

In this paper we present analysis methods for a family of staggered sc hemes that are used in the numerical simulation of fluid-structure int eraction problems. The analysis has two goals: to identify the numeric al damping errors, in particular those due to the discrete coupling be tween the fluid and the structure, and to improve the accuracy of the numerical results by compensating these errors. The first analysis met hod presented is based on the modified equation of the numerical schem e, and the second method is an eigenvector analysis. Both methods prov ide corrections of the coupled integration schemes in order to elimina te numerical effects, when the system's frequency is known. Other meth ods are proposed in order to achieve the same goal when this frequency is not known a priori.