Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem
نویسندگان
چکیده
We consider in this paper numerical approximation of the linear fluid-structure interaction (FSI). We construct a new class of pressure-correction schemes for the linear FSI problem with a fixed interface, and prove rigorously that they are unconditionally stable. These schemes are computationally very efficient, as they lead to, at each time step, a coupled linear elliptic system for the velocity and displacement in the whole region and a discrete Poisson equation in the fluid region. AMS subject classifications: 74F10, 76D05, 65M12, 35Q30
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