期刊
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
卷 7, 期 4, 页码 537-554出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/nmtma.2014.1307si
关键词
Fluid-structure interaction; pressure-correction; stability analysis
资金
- NSF [DMS-1215066]
- AFOSR [FA9550-11-1-0328]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1217066] Funding Source: National Science Foundation
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.
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