Stability Analysis for the Immersed Fiber Problem
John M. Stockie, Brian T. R. Wetton
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Source: Crossref
Published: Dec 1, 1995
DOI: 10.1137/s0036139994267018
Open original source ↗Source abstract
A linear stability analysis is performed on a two-dimensional version of the “immersed fiber problem,” formulated by C. Peskin to model the flow of fluid in the presence of a mesh of moving, elastic fibers. The purpose of the analysis is to isolate the modes in the solution which are associated with the fiber and thereby determine the effect of the presence of a fiber on the fluid. 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 flows with immersed fibers.
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