Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem. Issue 4 (9th August 2018)

• Record Type: Journal Article
• Authors: He, Ying; Shen, Jie
• Is Part Of: Numerical mathematics. Volume 7:Issue 4(2014)
• Page Start: 537
• Page End: 554
• Publication Date: 2018-08-09
• Subjects: 74F10, -- 76D05, -- 65M12, -- 35Q30; Fluid-structure interaction, -- pressure-correction, -- stability analysis; Numerical analysis -- Periodicals; Numerical analysis; Periodicals; 518.05
• DOI: 10.1017/S1004897900001331
• Languages: English
• ISSNs: 1004-8979

Abstract

Abstract: 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.