Linear stability analysis of a Level Set model of immersed elastic membrane
نویسندگان
چکیده
We perform a linear stability analysis of an elementary 1D model obtained from a Level Set formulation of the coupling between an immersed elastic interface and the surrounding fluid. Despite the striking simplicity of the studied model, relevant instability regimes are obtained, unifying results obtained in previous studies [5, 17]. We also present numerical tests on the full model which further illustrate the relevance of this simplified model.
منابع مشابه
PARAMETRIC RESONANCE IN IMMERSED ELASTIC STRUCTURES, WITH APPLICATION TO THE COCHLEA by
Examples of fluid motion driven by immersed flexible structures abound in nature. In many biological settings, for instance a beating heart, an active material generates a timedependent internal forcing on the surrounding fluid. Motivated by such active biological structures, this thesis investigates parametric resonance in fluid-structure systems induced by an internal forcing via periodic mod...
متن کاملParametric Resonance in Immersed Elastic Boundaries
In this paper, we investigate the stability of a fluid-structure interaction problem in which a flexible elastic membrane immersed in a fluid is excited via periodic variations in the elastic stiffness parameter. This model can be viewed as a prototype for active biological tissues such as the basilar membrane in the inner ear, or heart muscle fibers immersed in blood. Problems such as this, in...
متن کاملDynamical behavior of a stage structured prey-predator model
In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...
متن کاملStability Analysis and Robust PID Control of Cable Driven Robots Considering Elasticity in Cables
In this paper robust PID control of fully-constrained cable driven parallel manipulators with elastic cables is studied in detail. In dynamic analysis, it is assumed that the dominant dynamics of cable can be approximated by linear axial spring. To develop the idea of control for cable robots with elastic cables, a robust PID control for cable driven robots with ideal rigid cables is firstly de...
متن کاملStability 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 o...
متن کامل