Stability Analysis for the Immersed Fiber Problem

A linear stability analysis is performed on a two-dimensional version of the \immersed ber problem", formulated by C. Peskin to model the ow of uid in the presence of a mesh of moving, elastic bers. The purpose of the analysis is to isolate the modes in the solution which are associated with the ber, and thereby determine the eeect of the presence of a ber on the uid. The results are used not only to make conclusions about the stability of the problem, but also to suggest guidelines for developing numerical methods for ows with immersed bers.